Search Results - "Dykhta, V. A."

Nonstandard duality and nonlocal necessary optimality conditions in nonconvex optimal control problems by Dykhta, V. A.

“…To partially implement the idea of considering nonlinear optimal control problems immediately on the set of Pontryagin extremals (or on quasiextremals if the…”
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Weakly monotone solutions of the Hamilton-Jacobi inequality and optimality conditions with positional controls by Dykhta, V. A.

“…We obtain necessary global optimality conditions for classical optimal control problems based on positional controls. These controls are constructed with…”
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A maximum principle for smooth optimal impulsive control problems with multipoint state constraints by Dykhta, V. A., Samsonyuk, O. N.

“…A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed…”
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Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls by Aleksandrov, V. M., Dykhta, V. A.

“…The proximity is estimated of a resource quasioptimal control to the optimal control. We give a method for subdividing the bounded region of initial conditions…”
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Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control by Aleksandrov, V. M., Dykhta, V. A.

“…For linear systems with constrained control and fixed transition time, we propose two methods for solving the resource consumption minimization problem…”
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Positional strengthenings of the maximum principle and sufficient optimality conditions by Dykhta, V. A.

“…We derive nonlocal necessary optimality conditions, which efficiently strengthen the classical Pontryagin maximum principle and its modification obtained by B…”
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Variational necessary optimality conditions with feedback descent controls for optimal control problems by Dykhta, V. A.

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Feedback Minimum Principle for Quasi-Optimal Processes of Terminally-Constrained Control Problems by Dykhta, V. A.

“…In a series of previous works, we derived nonlocal necessary optimality conditions for free-endpoint problems. These conditions strengthen the Maximum…”
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Feedback Minimum Principle for Impulsive Processes by Dykhta, V. A., Samsonyuk, O. N.

“…We consider an optimal impulsive control problem with a terminal functional and trajectories of bounded variation. The control system we consider has a…”
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Hamilton-Jacobi inequalities and the optimality conditions in the problems of control with common end constraints by Dykhta, V. A., Sorokin, S. P.

“…The canonical theory of the necessary and sufficient conditions for global optimality based on the sets of nonsmooth solutions of the differential…”
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The variational maximum principle and second-order optimality conditions for impulse processes and singular processes by Dykhta, V. A.

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Positional solutions of Hamilton-Jacobi equations in control problems for discrete-continuous systems by Dykhta, V. A., Sorokin, S. P.

“…We develop a canonical global optimality theory based on operating with the set of solutions for the Hamilton-Jacobi inequalities that parametrically depend on…”
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The Canonical Theory of the Impulse Process Optimality by Dykhta, V. A., Samsonyuk, O.N.

“…The paper is devoted to the development of the canonical theory of the Hamilton–Jacobi optimality for nonlinear dynamical systems with controls of the vector…”
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Hamilton-Jacobi inequalities in control problems for impulsive dynamical systems by Dykhta, V. A., Samsonyuk, O. N.

“…We propose definitions of strong and weak monotonicity of Lyapunov-type functions for nonlinear impulsive dynamical systems that admit vector measures as…”
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Optimal control: Nonlocal conditions, computational methods, and the variational principle of maximum by Arguchintsev, A. V., Dykhta, V. A., Srochko, V. A.

“…This paper surveys theoretical results on the Pontryagin maximum principle (together with its conversion) and nonlocal optimality conditions based on the use…”
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Lyapunov–Krotov Inequality and Sufficient Conditions in Optimal Control by Dykhta, V. A.

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Necessary conditions for nonsmooth optimal impulse control problem with intermediate constraints by Dykhta, V.A., Samsonuk, O.N.

“…Nonlinear optimal control problems, in which state trajectories are permitted to be discontinuous at a finite number of times, and the jump times are choice…”
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Minimum conditions on the set of sequences in a degenerate variational problem by Dykhta, V. A., Kolokol'nikova, G. A.

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