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Mathematical Modeling of the Household Behavior in the Labor Market
We describe the economic behavior of the household. On the one hand, the household acts as a consumer that seeks to maximize the discounted...
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Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group
Using the Pontryagin maximum principle for the time-optimal problem in coordinates of the first kind, we find the extremals of an arbitrary...
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Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint
Under conditions characterizing the dominance of the discounting factor, a complete version of the Pontryagin maximum principle for an optimal...
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The Rational Homology Ring of the Based Loop Space of the Gauge Groups and the Spaces of Connections on a Four-Manifold
We provide a rational-homotopic proof that the ranks of the homotopy groups of a simply connected four-manifold depend only on its second Betti...
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Comparison of the Computational Efficiency of Gradient-Type Methods in Optimal Control Problems
Estimating of the efficiency of iterative methods is determined by results of computational experiments on solving typical test and applied problems....
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Bifold Algebras and Commutants for Enriched Algebraic Theories
Commuting pairs of algebraic structures on a set have been studied by several authors and may be described equivalently as algebras for the tensor...
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Lotka–Volterra Competition Model with a Nonmonotone Therapy Function for Finding Optimal Strategies in the Treatment of Blood Cancers
The interaction of healthy and cancerous cell concentrations in diseases associated with blood cancer is described by a two-dimensional...
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On Game Problems of Controlling Pencil Trajectories under Integral Constraints on the Controls of Players
AbstractThe game problems of control of pencil trajectories, described by a system of equations with a retarded argument under integral restrictions...
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Synthesis of Third-Order Time-Optimal Control System for Plants with Extremum Time Response
AbstractWe derive an algorithm of a time optimal (maximum speed) controller for a third-order dynamical system. A model with an extreme second-order...
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A computational method based on the generalized Lucas polynomials for fractional optimal control problems
Nonorthogonal polynomials have many useful properties like being used as a basis for spectral methods, being generated in an easy way, having...
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Multipliers and Duality for Group Actions
We define operator-valued Schur and Herz–Schur multipliers in terms of module actions, and show that the standard properties of these multipliers...
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Local Controllability and Trajectories of Geometric Local Infimum in Optimal Control Problems
We study the duality of notions of local controllability and geometric local infimum. The results obtained strengthen and generalize known results...
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Mathematical Modeling and Control of the Cell Dynamics in Leprosy
Leprosy (Hansen’s disease) is an infectious, neglected tropical disease caused by the bacterium or scientifically Mycobacterium Leprae (M. Leprae)....
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Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces
In this article, we derive first-order necessary optimality conditions for a constrained optimal control problem formulated in the Wasserstein space...
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Necessary Optimality Conditions for Hybrid System of Variable Dimension with Intermediate Constraints
We consider an optimal control problem for a hybrid system. The continuous motion of the system alternates with discrete variations (switchings) at...
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What If We Had No Choice?
On the pages of this book, we have seen a variety of approaches used in attempts to settle the chromatic number of the plane problem (CNP). Tools...
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Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions
The paper is devoted to Lagrange problem of optimal control theory with higher-order differential inclusions (HODI) and special boundary conditions....