We investigate the continuity of the optimal response time as a function of the initial state of the controlled system for linear plants with a terminal set in the form of a complex compactum. Constructive sufficient conditions of general form are obtained ensuring response-time continuity. Two applications are considered.
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L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1976).
E. B. Lee and L. Markus, Fundamentals of Optimal Control Theory [in Russian], Nauka, Moscow (1972).
V. I. Blagodatskikh, Introduction to Optimal Control. Linear Control [in Russian], Vysshaya Shkola (2001).
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Translated from Prikladnaya Matematika i Informatika, No. 72, 2023, pp. 16–22
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Nikol’skii, M.S. On Continuity of Optimal Response Time as a Function of the Initial State of the Controlled System. Comput Math Model 33, 401–407 (2022). https://doi.org/10.1007/s10598-023-09582-5
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DOI: https://doi.org/10.1007/s10598-023-09582-5