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References
Clifford, A.H. and Preston, G.B.: The algebraic theory of semigroups, 2, Amer. Math. Soc., 1967
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951
Miranda, C.: Partial differential equations of elliptic type, Springer, 1970 (translated from the Italian)
Pontryagin, L.S.: ‘Classification of continuous transformations of a complex into a sphere’, Dokl. Akad. Nauk SSSR 19 (1938), 361–363 (in Russian)
Eilenberg, S.: ‘Cohomology and continuous map**s’, Ann. of Math. 41 (1940), 231–251
Hu, S.-T.: Homotopy theory, Acad. Press, 1959
Thomas, E.: Seminar on fibre spaces, Springer, 1966
Steenrod, N.E.: The topology of fibre bundles, Princeton Univ. Press, 1951
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966
Whitehead, G.: Elements of homotopy theory, Springer, 1978
Baues, H.J.: Obstruction theory, Springer, 1977
Marine biology, 1–2, Moscow, 1977 (in Russian)
Marine physics, 1, Moscow, 1978 (in Russian)
Marine geophysics, 1–2, Moscow, 1979 (in Russian)
Marine chemistry, 1–2, Moscow, 1979 (in Russian)
Marine geology, 1, Moscow, 1979 (in Russian)
Pedlosky, J.: Geophysical fluid dynamics, Springer, 1987
Gill, A.E.: Atmosphere-Ocean dynamics, Acad. Press, 1982
Marchuk, G.I. and Sarkisyan, A.S.: Mathematical modelling of ocean circulation, Springer, 1986 (translated from the Russian)
Tritton, D.J.: Physical fluid dynamics, v. Nostrand Reinhold, 1988
Le Bond, P.H. and Mysak, L.A.: Waves in the ocean, Oceanography Series, Elsevier, 1978
Pugh, D.T.: Tides, surges and mean sea-level, Wiley, 1987
Mader, C.L.: Numerical modelling of water waves, Univ. California Press, 1988
Nihoul, J.C.J. (ed.): Coupled ocean-atmosphere models, Oceanography Series, Elsevier, 1985
Dronkers, J. and Leussen, W. (eds.) van: Physical processes in estuaries, Springer, 1988
Massel, S.R.: Hydrodynamics of coastal zones, Elsevier, 1989
Noye, J. (ed.): Numerical modelling: Applications to marine systems, North-Holland, 1987
Monin, A.S. and Ozmidov, R.V.: Turbulence in the ocean, Reidel, 1985
Csanady, G.T.: Circulation in the coastal ocean, Reidel, 1982
McLellan, H.J.: Elements of physical oceanography, Pergamon
Bennett, G.T.: ‘Deformable octahedra’, Proc. London Math. Soc. (2) 10 (1912), 309–343
Coxeter, H.S.M.: Regular polytopes, Methuen, 1948, p. 5
Oka, K.: Sur les fonctions analytiques de plusieurs variables, I. Shoten, 1961
Hörmander, L.: An introduction to complex analysis in several variables, North-Holland, 1973
Gunning, R. and Rossi, H.: Analytic functions of several complex variables, Prentice-Hall, 1965
Krantz, S.G.: Function theory of several complex variables, Wiley, 1982
Oka, K.: Collected papers, Springer, 1984
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951
Smirnov, N.V.: ‘On the ω2-distribution’, Mat. Sb. 2 (1937), 973–993 (in Russian)
Anderson, T.W. and Darling, D.A.: ‘Asymptotic theory of certain ‘goodness of fit’ criteria based on stochastic processes’, Ann. Math. Stat. 23 (1952), 193–212
Darling, D.A.: ‘The Cramér-Smirnov test in the parametric case’, Ann. Math. Stat. 26 (1955), 1–20
Durbin, J.: Distribution theory for tests based on the sample distribution function, SIAM, 1973
Milnor, J.: Topology from the differential viewpoint, Univ. of Virginia Press, 1965
Fuks, D.B. and Rokhlin, V.A.: Beginner’s course in topology. Geometric chapters, Springer, 1984 (translated from the Russian)
Hirsch, M.W.: Differential topology, Springer, 1976
Engelking, R.: General topology, Heldermann, 1989
Guillemin, V. and Pollace, A.: Differential topology, Prentice-Hall, 1974
Gale, D.: ‘The classification of 1-manifolds: a take-home exam’, Amer. Math. Monthly 94 (1987), 170–175
Yosida, K.: Functional analysis, Springer, 1980
Kreĭn, S.G.: Linear differential equations in Banach space, Amer. Math. Soc., 1971 (translated from the Russian)
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957
Butzer, P. and Berens, H.: Semigroups of operators and approximation, Springer, 1967
Barbu, V.: Non-linear semi-groups and differential equations in Banach spaces, Ed. Academici, 1976 (translated from the Romannian)
Davies, E.B.: One-parameter semigroups, Acad. Press, 1980
Goldstein, J.A.: Semigroups of linear operators and applications, Oxford Univ. Press, 1985
Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Springer, 1983
Clément, Ph. and Heumans, H.J.A.M., et al.: One-parameter semigroups, CWI & North-Holland, 1987
Brezis, H.: Operateurs maximaux monotone et semigroups de contractions dans les espaces de Hilbert, North-Holland, 1973
Casteren, J. van: Generators of strongly continuous semigroups, Pitman, 1985
Nagel, R. (ed.): One-parameter semigroups of positive operators, Springer, 1986
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian)
Serre, J.-P.: Lie algebras and Lie groups, Benjamin, 1965 (translated from the French)
Helgason, S.: Differential geometry, Lie groups; and symmetric spaces, Acad. Press, 1978
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French)
Bourbaki, N.: Groupes et algèbres de Lie, Hermann, 1972, Chapts. 2–3
Hochschild, G.: Structure of Lie groups, Holden-Day, 1965
Arnol’d, V.I.: Ordinary differential equations, M.I.T., 1973 (translated from the Russian)
Palais, R.: A global formulation of the Lie theory of transformation groups, Amer. Math. Soc., 1957
Sell, G.R.: Topological dynamics and ordinary differential equations, v. Nostrand Reinhold, 1971
Hilbert, D. and Cohn-Vossen, S.E.: Geometry amd the imagination, Chelsea, 1952 (translated from the German)
Seifert, H. and Threlfall, W.: A textbook of topology, Acad. Press, 1980 (translated from the German)
Fuks, D.B., Fomenko, A.T. and Gutenmakher, V.L.: Homotopic topology, Moscow, 1969 (in Russian)
Enderton, H.B.: Elements of set theory, Acad. Press, 1977
Koppelberg, S.: General theory of Boolean algebras, 1, North-Holland, 1989, Sect. 3.7
Kuratowski, K.: Topology, 1–2, Acad. Press, 1966–1968 (translated from the French)
Keldysh, L.V.: ‘Open and monotone map**s of compacta’, in Proc. 3-rd All-Union Math. Congress, Vol. 3, Moscow, 1958, pp. 368–372 (in Russian)
Stoĭlov, S.: The theory of functions of a complex variable, 1–2, Moscow, 1962 (in Russian; translated from the Rumannian)
Engelking, R.: General topology, Heldermann, 1989
Whyburn, G.T.: Topological analysis, Princeton Univ. Press, 1964
Yosida, K.: Functional analysis, Springer, 1980
Robertson, A.P. and Robertson, W.: Topological vector spaces, Cambridge Univ. Press, 1964
de Wilde, M.: Closed graph theorems and webbed spaces, Pitman, 1978
Schaeffer, H.H.: Topological vector spaces, Springer, 1971
Jarchow, H.: Locally convex spaces, Teubner, 1981 (translated from the German)
Engelking, R.: General topology, Heldermann, 1989
Ditkin, V.A. and Prudnikov, A.P.: Handbook of operational calculus, Moscow, 1965 (in Russian)
Mikusiński, J.: Operational calculus, Pergamon, 1959
Mikusiński, J.: Operational calculus, 1, PWN & Pergamon, 1987
Mikusiński, J. and Boehme, Th.K.: Operational calculus, II, PWN & Pergamon, 1987
Pol, B. van der and Bremmer, H.: Operational calculus based on the two-sided Laplace transform, Cambridge Univ. Press, 1959
Feynman, R.P.: ‘An operator calculus having applications in quantum electrodynamics’, Phys. Rev. 84 (1951), 108–128
Gill, T.L. and Zachary, W.W.: ‘Time-ordered operators and Feynman-Dyson algebras’, J. Math. Phys. 28 (1987), 1459–1470
Dollard, J.D. and Friedman, Ch.N.: Product integration, Addison-Wesley, 1979
Morse, P.M. and Kimball, G.E.: Methods of operations research, M.I.T., 1952
Saaty, T.L.: Mathematical methods of operations research, McGraw-Hill, 1959
Kaufmann, A. and Faure, R.: Invitation à la récherche operationeile, Dunod, 1963
Kaufmann, A.: Methods and models of operations research, Prentice-Hall, 1963 (translated from the French)
Churchmen, W., Ackoff, R.L. and Arnoff, E.L.: Introduction to operations research, Wiley, 1957
Chuev, Yu.V.: Operations research in a military case, Moscow, 1970 (in Russian)
Germeĭer, Yu.B.: Introduction to the theory of operations research, Moscow, 1971 (in Russian)
Ackoff, R. and Sasieni, M.: Fundamentals of operations research, Wiley, 1968
Venttsel’, E.S.: Operations research, Moscow, 1972 (in Russian)
Wagner, H.: Principles of operations research, Prentice-Hall, 1975
Operations research. Methodological aspects, Moscow, 1972 (in Russian)
Mathematische Standardmodelle der Operationsforschung, Berlin, 1971
Mathematische Standardmodelle der Operationsforschung. Mathematische Grundlagen, Methoden und Modelle, 1–3, Berlin,1971-1973
Beall, E.M.L.: Introduction to optimization, Wiley, 1987
Hillier, F.S. and Lieberman, G.J.: Introduction to operations research, Holden-Day, 1967
Liusternik, L.A. [L.A. Lyusternik] and Sobolev, V.I.: Elements of functional analysis, F. Ungar, 1961 (translated from the Russian)
Kolmogorov, A.N. and Fomin, S.V.: Elements of the theory of functions and functional analysis, 1–2, Graylock, 1957–1961 (translated from the Russian)
Kantorovich, L.V. and Akilov, G.P.: Functional analysis in normed spaces, Pergamon, 1964 (translated from the Russian)
Dunford, N. and Schwartz, J.T.: Linear operators, 1–3, Interscience, 1958
Edwards, R.E.: Functional analysis, Holt, Rinehart & Winston, 1965
Yoshida, K.: Functional analysis, Springer, 1980
Kato, T.: Perturbation theory for linear operators, Springer, 1976
Taylor, A.E. and Lay, D.C.: Introduction to functional analysis, Wiley, 1980
Riesz, F. and Szökefalvi-Nagy, B.: Functional analysis, F. Ungar, 1955 (translated from the French)
Rudin, W.: Functional analysis, McGraw-Hill, 1973
Gohberg, I. and Goldberg, S.: Basic operator theory, Birkhäuser, 1981
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc., 1957
Dunford, N. and Schwartz, J.T.: Linear operators, 1. General theory, Wiley, 1988
Neveu, J.: Mathematical foundations of the calculus of probabilities, Holden-Day, 1965 (translated from the French)
Vershik, A.M. and Yuzvinskiĭ, S.A.: ‘Dynamical systems with invariant measure’, Progress in Math. 8 (1970), 151–215. (Itogi Nauk. Mat. Anal. 967 (1969), 133–187)
Katok, A.B., Sinaĭ, Ya.G. and Stepin, A.M.: ‘Theory of dynamical systems and general transformation groups with invariant measure’, J. Soviet Math. 7, no. 2 (1977), 974–1041. (Itogi Nauk. i Tekhn. Mat. Anal. 13 (1975), 129–262)
Krengel, U.: ‘Recent progress in ergodic theorems’, Astérisque 50 (1977), 151–192
Krengel, U.: Ergodic theorems, de Gruyter, 1985
Szökevalfi-Nagy, B.: ‘On uniformly bounded linear transformations in Hilbert space’, Acta Sci. Math. (Szeged) 11 (1947), 152–157
Hille, E. and Philips, R.: Functional analysis and semi-groups, Amer. Math. Soc., 1948
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian)
Zavalo, S.T.: ‘Γ-free operator groups’, Mat. Sb. 33 (1953), 399–432 (in Russian)
Zavalo, S.T.: ‘S-free operator groups I’, Ukr. Mat. Zh. 16, no.5 (1964), 593–602 (in Russian)
Zavalo, S.T.: ‘S-free operator groups II’, Ukr. Mat. Zh. 16, no. 6 (1964), 730–751 (in Russian)
Gel’fand, I.M., Graev, M.I. and Vilenkin, N.Ya.: Generalized functions, 5. Integral geometry and representation theory, Acad. Press., 1966, p. 149 ft (translated from the Russian)
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976, p. 114 (translated from the Russian)
Schaefer, H.H.: Topological vector spaces, Springer, 1971
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, Wiley, 1988
Naĭmark, M.A.: Normed rings, Reidel, 1984 (translated from the Russian)
Sakai, S.: C*-algebras and W*-algebras, Springer, 1971
Pontryagin, L.S., Boltyanskiĭ, V.G., Gamkrelidze, R.V. and Mischchenko, E.F.: The mathematical theory of optimal processes, Wiley, 1967 (translated from the Russian)
Bellman, R.: Dynamic programming, Princeton Univ. Press, 1957
Krasovskiĭ, N.N.: The theory of control of motion, Moscow, 1968 (in Russian)
Krasovskiĭ, N.N.: ‘Theory of optimal control systems’, in Mechanics in the USSR during 50 years, Vol. 1, Moscow, 1968, pp. 179–244 (in Russian)
Kalman, R.: ‘On the general theory of control systems’, in Proc. first Internat. Congress Internat. Fed Autom. Control, Vol. 2, Moscow, 1960, pp. 521–547
Fleming, W.H. and Rishel, R.: Deterministic and stochastic optimal control, Springer, 1975
Alekseev, V.M., Tikhomirov, V.M. and Fomin, S.V.: Optimal control, Consultants Bureau, 1987 (translated from the Russian)
Varga, J.: Optimal control of differential and functional equations, Acad. Press, 1972
Hestenes, M.: Calculus of variations and optimal control theory, Wiley, 1966
Young, L.: Lectures on the calculus of variations and optimal control theory, Saunders, 1969
Kalman, R., Falb, P. and Arbib, M.: Topics in mathematical systems theory, McGraw-Hill, 1969
Moiseev, N.N.: Elements of the theory of optimal systems, Moscow, 1975 (in Russian)
Chernous’ko, F.L. and Kolmanovskiĭ, V.B.: ‘Computational and approximate methods for optimal control’, J. Soviet Math. 12, no. 3 (1979), 310–353. (Itogi Nauk. i Tekhn. Mat. Anal. 14 (1977), 101–166)
Boltyanskiĭ, V.G.: Optimal control of discrete systems, Wiley, 1978 (translated from the Russian)
Canon, M.D., Cullum, C.D. and Polak, E.: Theory of optimal control and mathematical programming, McGraw-Hill, 1970
Propoĭ, A.I. : Elements of the theory of optimal discrete processes, Moscow, 1973 (in Russian)
Tikhonov, A.N. and Arsenin, V.Ya.: Solutions of ill-posed problems, Winston, 1977 (translated from the Russian)
Bensoussan, A.: Stochastic control by functional analysis methods, North-Holland, 1982
Bensoussan, A. and Lions, J.L.: Applications of variational inequalities in stochastic control, North-Holland, 1982
Bertsekas, D.P.: Dynamic programming: Deterministic and stochastic models, Prentice-Hall, 1987
Bertsekas, D.P. and Shreve, S.E.: Stochastic optimal control: The discrete time case, Acad. Press, 1978
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic optimal control, Springer, 1975
Hausmann, U.G.: A stochastic maximum principle for optimal control of diffusion, Longman, 1986
Kumar, P.R. and Varaiya, P.: Stochastic systems: Estimation, identification, and adaptive control, Prentice-Hall, 1986
Kushner, H.J.: Stochastic stability and control, Acad. Press, 1967
Kushner, H.J.: Introduction to stochastic control, Holt, Rinehart & Winston, 1971
Kushner, H.J.: Probability methods for approximations in stochastic control and for elliptic equations, Acad. Press, 1977
Striebel, C.: Optimal control of discrete time stochastic systems, Lecture notes in economic and mathematical systems, 110, Springer, 1975
Bryson, A.E. and Ho, Y.-C: Applied optimal control, Ginn, 1969
Luenberger, D.G.: Optimization by vector space methods, Wiley, 1969
Bertsekas, D.: Dynamic programming and stochastic control, Acad. Press, 1976
Davis, M.H.A.: ‘Martingale methods in stochastic control’, in Stochastic Control and Stochastic Differential Systems, Lecture notes in control and inform, sci., Vol. 16, Springer, 1979, pp. 85–117
Cesari, L.: Optimization - theory and applications, Springer, 1983
Neustadt, L.W.: Optimization, a theory of necessary conditions, Princeton Univ. Press, 1976
Barbu, V. and Da Prato, G.: Hamilton-Jacobi equations in Hilbert spaces, Pitman, 1983
Ljung, L.: System identification theory for the user, Prentice-Hall, 1987
Gallagher, R.: Information theory and reliable communication, Wiley, 1968
Wozencraft, J.M. and Jacobs, I.M.: Principles of communication engineering, Wiley, 1965
Germeĭer, Yu.B.: Introduction to the theory of operations research, Moscow, 1971 (in Russian)
Germeĭer, Yu.B.: Games with non-conflicting interests, Moscow, 1976 (in Russian)
Aubin, J.-P.: L’analyse non-linéaire et ses motivations économiques, Masson, 1984
Borob’ev, N.N.: Game theory. Lectures for economists and cyberneticists, Leningrad, 1974 (in Russian)
Ho, Y.C. and Olsder, G.J.: ‘Differential games: concepts and applications’, in M. Shubik (ed.): Mathematics of Conflict, Elsevier & North-Holland, 1983, pp. 127–186
Pontryagin, L.S., Boltyanskiĭ, V.G., Gamkrelidze, R.V. and Mishchenko, E.F.: The mathematical theory of optimal processes, Wiley, 1967 (translated from the Russian)
Krasovskiĭ, N.N.: The theory of control of motion, Moscow, 1968 (in Russian)
Krasovaskiĭ, N.N. and Subbotin, A.I.: Game-theoretical control problems, Springer, 1988 (translated from the Russian)
Kalman, R.: ‘On the general theory of control system’, in Proc. 1st Internal Congress Internat Fed. on Autom. Control, Vol. 2, Moscow, 1961, pp. 521–547 (in Russian)
Lee, E.B. and Marcus, L.: Foundations of optimal control theory, Wiley, 1967
Gamkrelidze, R.V.: Principles of optimal control theory, Plenum, 1978 (translated from the Russian)
Varga, J.: Optimal control of differential and functional equations, Acad. Press, 1972
Ioffe, A.D. and Tikhomirov, V.M.: ‘Duality of convex functions and extremal problems’, Russian Math. Surveys 23, no. 6 (1968), 53–124. (Uspekhi Mat Nauk 23, no. 6 (1968), 51–116)
Dubovitskiĭ, A.Ya and Milyutin, A.A.: ‘Extremum problems in the presence of restrictions’, USSR Comp. Math. Math. Phys. 5, no. 3 (1965), 1–80. (Zh. Vychisl. Mat. i Mat. Fiz. 5, no. 3 (1965), 395–453)
Neustadt, L.W.: Optimization: A theory of necessary conditions, Princeton Univ. Press, 1976
Pshenichnyĭ, B.N.: Necessary conditions for an extremum, Moscow, 1969 (in Russian)
Clarke, F.H.: ‘Generalized gradients and applications’, Trans. Amer. Math. Soc. 205 (1975), 247–262
Sussmann, H.J.: ‘Existence and uniqueness of minimal realizations of nonlinear systems’, Math. Syst. Theory 10, no. 3 (1977), 263–284
Lions, J.: Optimal control of systems governed by partial differential equations, Springer, 1971 (translated from the French)
Boltayanskiĭ, V.G.: Mathematical methods of optimal control, Holt, Rinehart & Winston, 1971 (translated from the Russian)
Boltyanskiĭ, V.G.: Optimal control of discrete systems, Wiley, 1978 (translated from the Russian)
Gabasov, R. and Kirillova, F.M.: Special optimal control, Moscow, 1973 (in Russian)
Krotov, V.F., Bukreev, V.Z. and Gurman, V.I.: New methods of variational calculus in flight dynamics, Moscow, 1969 (in Russian)
Levitin, E.S., Milyutin, A.A. and Osmolovskiĭ, N.P.: ‘Conditions of higher order for a local minimum in problems with constraints’, Russian Math. Surveys 33, no. 6 (1978), 97–168. (Uspekhi Mat. Nauk. 33, no. 6 (1978), 85–148)
Kurzhanskiĭ, A.B.: Control and observability under conditions of uncertainty, Moscow, 1977 (in Russian)
Demvyanov, V.F. and Malozemov, V.N.: Introduction to minimax, Moscow, 1972 (in Russian)
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic control, Springer, 1975
Bertsekas, D. and Shreve, S.: Stochastic optimal control, the discrete time case, Acad. Press, 1978
Bertsekas, D.: Dynamic programming and stochastic control, Acad. Press, 1976
Davis, M.H.A.: ‘Martingale methods in stochastic control’, in Stochastic Control and Stochastic Differential Systems, Lecture notes in control and inform, sci., Vol. 16, Springer, pp. 85–117
Cesari, L.: Optimization - Theory and applications, Springer, 1983
Barbu, V. and Da Prato, G.: Hamilton-Jacobi equations in Hilbert spaces, Pitman, 1983
Kushner, H.: Introduction to stochastic control, Holt, 1971
Kumar, P.R. and Varaiya, P.: Stochastic systems: estimation, identification and adaptive control, Prentice-Hall, 1986
Ljung, L.: System identification theory for the user, Prentice-Hall, 1987
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Ginn, 1969
Knobloch, H.W.: Higher order necessary conditions in optimal control theory, Springer, 1981
Nikol’skiĭ, S.M.: Quadrature formulae, H.M. Stationary Office, London, 1966 (translated from the Russian)
Bakhvalov, N.S.: ‘On optimal convergence estimates for quadrature processes and integration methods of Monte-Carlo type on function classes’, in Numerical Methods for Solving Differential and Integral Equations and Quadrature Formulas, Moscow, 1964, pp. 5–63 (in Russian)
Sobolev, S.L.: Introduction to the theory of cubature formulas, Moscow, 1974 (in Russian)
Engels, H.: Numerical quadrature and cubature, Acad. Press, 1980
Kelli, G.: Raket. Tekhn. i Kosmonavtik., no. 8 (1964), 26–29
Robbins, G.: Raket. Tekhn. i Kosmonavtik., no. 6 (1965), 139–145
Kopp, R. and Moĭer, G.: Raket. Tekhn. i Kosmonavtik., no. 8 (1965), 84–90
Bershchanskiĭ, Ya.M.: ‘Fusing of singular and nonsingular parts of optimal control’, Automat. Remote Control 40, no. 3 (1979), 325–330. (Avtomatik. i Telemekh., no. 3 (1979), 5–11)
Fuller, A.T.: ‘Theory of discrete, optimal and self-adjusting systems’, in Proc. 1st Internat. Congress Internat. Fed. Autom. Control, Moscow, 1960, pp. 584–605 (in Russian)
Vapnyarskiĭ, I.B.: ‘An existence theorem for optimal control in the Boltz problem, some of its applications and the necessary conditions for the optimality of moving and singular systems’, USSR Comp. Math. Math. Phys. 7, no. 2 (1967), 22–54. (Zh. Vychisl. Mat. i Mat. Fiz. 7, no. 2 (1967), 259–283)
Krener, A.: ‘The high order maximal principle and its application to singular extremals’, Siam J. Control Optim. 15, no. 2 (1977), 256–293
Lewis, R.M.: ‘Definition of oder and function conditions in singular optimal control problems’, Siam J. Control Optim 18, no. 1 (1980), 21–32
Skorodinskiĭ, I.T.: ‘The necessary condition for optimality of singular controls’, USSR Comp. Math. Math. Phys. 19, no. 5 (1979), 46–53. (Zh. Vychisl Mat. i Mat. Fiz. 19, no. 5 (1979), 1134–1140)
Gabasov, R. and Kirillova, F.M.: Special optimal control, Moscow, 1973 (in Russian)
Kelley, H.J., Kopp, R.E. and Moyer, H.G.: ‘Singular extremals’, in G. Leitmann (ed.): Topics of Optimization, Acad. Press, 1967, Chapt. 3
Knobloch, H.W.: Higher order necessary conditions in optimal control theory, Springer, 1981
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Ginn, 1969
Hermes, H. and Lasalle, J.P.: Functional analysis and time optimal control, Acad. Press, 1969
Bell, D.J. and Jacobson, D.H.: Singular optimal control problems, Acad. Press, 1975
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic control, Springer, 1975
Bertsekas, D. and Shreve, S.: Stochastic optimal control, the discrete time case, Acad. Press, 1978
Bertsekas, D.: Dynamic programming and stochastic control, Acad. Press, 1976
Davis, M.H.A.: ‘Martingale methods in stochastic control’, in Stochastic Control and Stochastic Differential Systems, Lecture notes in computer and inform, sci., Vol. 16, Springer, 1979
Cesari, L.: Optimization - Theory and applications, Springer, 1983
Neustadt, L.W.: Optimization, a theory of necessary conditions, Princeton Univ. Press, 1976
Barbu, V. and Da Prato, G.: Hamilton-Jacobi equations in Hilbert spaces, Pitman, 1983
Kushner, H.: Introduction to stochastic control, Holt, 1971
Kumar, P.R. and Varaiya, P.: Stochastic systems: estimation, identification and adaptive control, Prentice-Hall, 1986
Ljung, L.: System identification theory for the user, Prentice-Hall, 1987
Gamkrelidze, R.V.: ‘Optimal sliding states’, Soviet Math. Dokl. 3, no. 2 (1962), 559–562. (Dokl. Akad. Nauk SSSR 143, no. 6 (1962), 1243–1245)
Pontryagin, L.S., Boltyanskiĭ, V.G., Gamkrelidze, R.V. and Mishchenko, E.F.: The mathematical theory of optimal processes, Wiley, 1967 (translated from the Russian)
Vapnyarskiĭ, I.B.: ‘An existence theorem for optimal control in the Boltz problem, some of its applications and the necessary conditions for the optimality of moving and singular systems’, USSR Comp. Math. Math. Phys. 7, no. 2 (1963), 22–54. (Zh. Vychisl. Mat. i Mat. Fiz. 7, no. 2 (1967), 259–283)
Krotov, V.F.: ‘Methods for solving variational problems based on sufficient conditions for an absolute minimum II’, Automat. Remote Control 24 (1963), 539–553. (Avtomatik. i Telemekh. 24, no. 5 (1963), 581–598)
Lee, E.B. and Markus, L.: Foundations of optimal control theory, Wiley, 1967
Pontryagin, L.S., Boltyanskiĭ, V.G., Gamkrelidze, R.Y. and Mishchenko, E.F.: The mathematical theory of optimal processes, Wiley, 1967 (translated from the Russian)
Bellman, R.: Dynamic programming, Princeton Univ. Press, 1957
Krasovskiĭ, N.N.: The theory of control of motion, Moscow, 1968 (in Russian)
Krasovskiĭ, N.N.: ‘On the stabilization of dynamic systems by supplementary forces’, Diff. Eq. 1, no. 1 (1965), 1–9. (Differentsial’nye Uravneniya 1, no. 1 (1963), 5–16)
Krasovskiĭ, N.N.: ‘Theory of optimal control systems’, in Mechanics in the USSR during 50 years, Moscow, 1968, pp. 179–244 (in Russian)
Krasovskiĭ, N.N.: ‘On mean-square optimum stabilization at damped random perturbations’, J. Appl. Math. Mech. 25 (1961), 1212–1227. (Prikl. Mat. Mekh. 25, no. 5 (1961), 806–817)
Krasovskiĭ, N.N. and Subbotin, A.I.: Game-theoretical control problems, Springer, 1988 (translated from the Russian)
Boltyanskiĭ, V.G.: Mathematical methods of optimal control, Holt, Rinehart & Winston, 1971 (translated from the Russian)
Boltyanskiĭ, V.G.: Optimal control of discrete systems, Wiley, 1978 (translated from the Russian)
Letov, A.M.: Mathematical theory of control processes, Moscow, 1981 (in Russian)
Lions, J.L.: Optimal control of systems governed by partial differential equations, Springer, 1971 (translated from the French)
Kalman, R.: ‘On the general theory of control systems’, in Proc. first Internat. Congress Internat. Fed Automatic Control, Vol. 2, Moscow, 1960, pp. 521–547
Kalman, R. and Bucy, R.: ‘New results in linear filtering and prediction theory’, Proc. Amer. Soc. Mech. Engineers Ser. 1.D 83 (1961), 95–108
Lee, E.B. and Marcus, L.: Foundations of optimal control theory, Wiley, 1967
Butkovskiĭ, A.G.: Structural theory of distributed systems, Horwood, 1983 (translated from the Russian)
Kolmogorov, A.N., Mishchenko, E.F. and Pontryagin, L.S.: ‘A probability problem of optimal control’, Soviet Math. Dokl. 3, no. 4 (1962), 1143–1145. (Dokl. Akad. Nauk SSSR 145, no. 5 (1962), 993–995)
Liptser, R.Sh. and Shiryaev, A.N.: Statistics of random processes, 1–2, Springer, 1977–1978 (translated from the Russian)
Åström, K.J.: Introduction to stochastic control theory, Acad. Press, 1970
Kats, I.Ya. and Krasovskiĭ, N.N.: ‘On the stability of systems with random parameters’, J. Appl. Math. Mech. 24 (1960), 1225–1246. (Prikl. Mat. Mekh. 24, no. 5 (1960), 809–823)
Wonham, W.M.: ‘On the separation theorem of stochastic control’, SIAM J. Control 6 (1968), 312–326
Krylov, N.V.: Controlled diffusion processes, Springer, 1980 (translated from the Russian)
Kurzhanskiĭ, A.B.: Control and observation under conditions of uncertainty, Moscow, 1977 (in Russian)
Tsypkin, Ya.Z.: Foundations of the theory of learning systems, Acad. Press, 1973 (translated from the Russian)
Eikhoff, P.: Basics of identification of control systems, Moscow, 1975 (in Russian; translated from the English)
Fleming, W.H. and Rishel, R.W.: Deterministic and stochastic control, Springer, 1975
Bertsekas, D. and Shreve, S.: Stochastic optimal control, the discrete time case, Acad. Press, 1978
Bertsekas, D.: Dynamic programming and stochastic control, Acad. Press, 1976
Davis, M.H.A.: ‘Martingale methods in stochastic control’, in Stochastic Control and Stochastic Differential Systems, Lecture notes in control and inform, sci., Vol. 16, Springer, 1979, pp. 85–117
Cesari, L.: Optimization - theory and applications, Springer, 1983
Neustadt, L.W.: Optimization, a theory of necessary conditions, Princeton Univ. Press, 1976
Barbu, V. and Da Prato, G.: Hamilton-Jacobi equations in Hilbert spaces, Pitman, 1983
Kushner, H.: Introduction to stochastic control, Holt, 1971
Kumar, P.R. and Varaiya, P.: Stochastic systems: estimation, identification and adaptive control, Prentice-Hall, 1986
Ljung, L: System identification theory for the user, Prentice-Hall, 1987
Brunovsky, P.: ‘On the structure of optimal feedback systems’, in Proc. Internat. Congress Mathematicians Helsinki, 1978, Acad. Sci. Fennica, 1980, pp. 841–846
Sussmann, H.J.: ‘Analytic stratifications and control theory’, in Proc. Internat. Congress Mathematicians Helsinki, 1978, Acad. Sci. Fennica, 1980, pp. 865–871
Kuakernaek, H. and Sivan, R.: Linear optimal control systems, Wiley, 1972
Hermes, H. and Lasalle, J.P.: Functional analysis and time optimal control, Acad. Press, 1969
Bryson, A.E. and Ho, Y.-C.: Applied optimal control, Ginn, 1969
Pontryagin, L.S., Boltayanskiĭ, V.G., Gamkrelidze, R.V. and Mishchenko, E.F.: The mathematical theory of optimal processes, Wiley, 1962 (translated from the Russian)
DeRusso, P., Roy, R. and Clois, C.: State space in control theory, Moscow, 1970 (in Russian; translated from the English)
Lee, E.B. and Markus, L.: Foundations of optimal control theory, Wiley, 1967
Cesari, L.: Optimization - theory and applications, Springer, 1983
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian)
Buss, G.A.: Lectures on the calculus of variations, Chicago Univ. Press, 1947
Bellman, R.: Dynamic programming, Princeton Univ. Press, 1957
Boltyanskiĭ, V.G.: Mathematical methods of optimal control, Holt, Rinehart & Winston, 1971 (translated from the Russian)
Krotov, V.F.: ‘Methods for solving variational problems on the basis of sufficient conditions for an absolute minimum I’, Automat. Remote Control 23 (1963), 1473–1484. (Avtomat. i Telemekh. 23, no. 12 (1962), 1571–1583)
Krotov, V.F.: ‘Methods for solving variational problems on the basis of sufficient conditions for an absolute minimum II’, Automat. Remote Control 24 (1963), 539–553. (Avtomat. i Telemekh. 24, no. 5 (1963), 581–598)
Butkovskiĭ, A.G.: Theory of optimal control of systems with distributed parameters, Moscow, 1965 (in Russian)
Lee, E.B. and Markus, L.: Foundations of optimal control theory, Wiley, 1967
Nikol’skiĭ, S.M.: Quadrature formulae, H.M. Stationary Ofice, London, 1966 (translated from the Russian)
Kolmogorov, A.N.: ‘On certain asymptotic characteristics of totally bounded metric spaces’, Dokl. Akad. Nauk. SSSR 108, no. 3 (1956), 385–388 (in Russian)
Kolmogorov, A.N. and Tikhomirov, V.M.: ‘ε-entropy and ε-capacity of sets in function spaces’, Uspekhi Mat. Nauk 14, no. 2 (1959), 3–86 (in Russian)
Vitushkin, A.G.: Estimation of the complexity of the tabulation problem, Moscow, 1959 (in Russian)
Babushka, I. and Sobolev, S.L.: ‘Optimization of numerical processes’, Aplikace Mat. 10 (1965), 96–129 (in Russian)
Bakhvalov, N.S.: ‘Optimal methods for solving problems’, Aplikace Mat 13 (1968), 27–38 (in Russian)
Bakhvalov, N.S.: ‘About optimisation of numerical methods’, in Internat Congress Mathematicians Nice, 1970, Vol. 3, Gauthier-Villars, 1972, pp. 289–295
Bakhvalov, N.S.: ‘On optimal convergence estimates for quadrature processes and integration methods of Monte-Carlo type on function classes’, in Numerical Methods for Solving Differential and Integral Equations and Quadrature Formulas, Moscow, 1964, pp. 5–63 (in Russian)
Bakhvalov, N.S.: ‘A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative’, Math. Notes 12, no. 6 (1972), 833–838. (Mat. Zametki 12, no. 6 (1972), 655–664)
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian)
Bakhvalov, N.S.: ‘On the optimality of linear methods for operator approximation in convex classes of functions’, USSR Math. Math. Phys. 11, no. 4 (1971), 244–249. (Zh. Vychisl. Mat i Mat. Fiz. 11, no. 4 (1971), 1010–1018)
Wilde, D.J.: Optimum seeking methods, Prentice-Hall, 1964
Vasil’ev, F.P.: Numerical methods for solving extremal problems, Moscow, 1980 (in Russian)
Oganesyan, L.A. and Rukhovets, L.A.: Variational-difference methods for solving elliptic equations, Erevan, 1979 (in Russian)
Tikhomirov, V.M.: Some questions in approximation theory, Moscow, 1976 (in Russian)
Tikhonov, A.N. and Gorbunov, A.D.: ‘Estimates of the error of a Runge-Kutta method and the choice of optimal meshes’, USSR Comp. Math. Math. Phys. 4, no. 2 (1964), 30–42. (Zh. Vychisl. Mat. i Mat. Fiz. 4, no. 2 (1964), 232–241)
Dellacherie, C.: Capacités et processus stochastiques, Springer, 1972, Chapt. 3, Sect. 2
Bauer, H.: Probability theory and elements of measure theory, Holt, Rinehart & Winston, 1972, Chapt. 11
Dellacherie, C.: Capacités et processus stochastiques, Springer, 1972
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, A, North-Holland, 1978 (translated from the French)
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Hazewinkel, M. (1990). O. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5991-0_4
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