Cover Image

Problem of optimal control for a determinate equation with interaction

The problem of optimal control of differential equations with interaction is consider. It is proved that the optimal control satisfies the maximum principle and there exists the generalized optimal control. It is shown that, in the considered problem, new technical aspects arise as compared with t...

Full description

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Ostapenko, E. V., Остапенко, Е. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3227
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On Markov measure-valued processes in a finite space
by: Ostapenko, E. V., et al.
Published: (2008)

To the problem of continuity of many-valued mappings
by: Ostapenko, V. V., et al.
Published: (1995)

Controlled Pulse Influence in Games with Fixed Termination Time
by: Ostapenko, E. V., et al.
Published: (2000)

Asymptotic analysis of a bounded control in optimal elliptic problems
by: Kapustyan, V. E., et al.
Published: (1993)

Optimal control problem for an equation of filtration with memory
by: M. V. Krasnoshchok
Published: (2019)

Approximate Averaged Synthesis of the Problem of Optimal Control for a Parabolic Equation
by: Kapustyan, O. A., et al.
Published: (2004)

Averaging method in the problem of optimal control for a perturbed parabolic equation
by: Kapustyan , O. V., et al.
Published: (2022)

Averaging method in the problem of optimal control for a perturbed parabolic equation
by: O. V. Kapustian, et al.
Published: (2022)

The asymptotics of constrained control in optimal singular parabolic problems
by: Kapustyan, V. E., et al.
Published: (1993)

Asymptotics of locally constrained control in optimal parabolic problems
by: Kapustyan, V. E., et al.
Published: (1996)

The solution of an optimal control problem for a third-order equation in the presence of distributed and starting controls
by: M. M. Jagubova, et al.
Published: (2019)

An optimal control problem for a Poisson equation with nonlocal boundary-value conditions
by: V. O. Kapustian, et al.
Published: (2013)

Nonlocal parabolic problem and optimal control problem for linear equations with degeneration
by: I. D. Pukalskyi
Published: (2012)

About some optimal control problems with elliptic type equations
by: V. P. Gulenko, et al.
Published: (1968)

Averaged Synthesis of the Optimal Control for a Wave Equation
by: Kapustyan, O. V., et al.
Published: (2003)

Matrix convexity
by: Ostapenko, V. V., et al.
Published: (1995)

Application of the method of averaging to the problems of optimal control over functional-differential equations
by: Koval’chuk, T. V., et al.
Published: (2018)

К вопросу электромоделирования задач фильтрации из каналов трапецеидального сечения
by: Ostapenko, V. N., et al.
Published: (1952)

Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
by: H. F. Guliyev, et al.
Published: (2014)

Multipoint boundary value problem of optimal control for parabolic equations with degeneration
by: I. D. Pukalskyi, et al.
Published: (2020)

On optimal control problem of elliptical equation coefficients with integral qualitative criterion
by: R. K. Tagiev, et al.
Published: (2016)

Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
by: Guliyev, H.F., et al.
Published: (2014)

Problem of Optimal Control for a Semilinear Hyperbolic System of Equations of the First Order with Infinite Horizon Planning
by: Derev’yanko, N. V., et al.
Published: (2015)

Application of the method of averaging to the problems of optimal control over functional-differential equations
by: V. I. Kravets, et al.
Published: (2018)

Controllability problem for the wave equation with an external load with the impulse control
by: Дончик, Е. М., et al.
Published: (2015)

Controllability problem for the wave equation with an external load with the impulse control
by: Дончик, Е. М., et al.
Published: (2015)

Problem of Optimal Control for a Semilinear Hyperbolic System of Equations of the First Order with Infinite Horizon Planning
by: N. V. Derevianko, et al.
Published: (2015)

A time-optimal control problem for a set-valued linear control system
by: Komleva, T. O., et al.
Published: (2020)

Rapid localization of trajectories in the problem of optimal control
by: Popov, V. I., et al.
Published: (1992)

Application of the method of averaging to the problems of optimal control for ordinary differential equations on the semiaxis
by: Kichmarenko, O. D., et al.
Published: (2018)

Bounded approximate synthesis of the optimal control for the wave equation
by: Sukretna, A. V., et al.
Published: (2007)

Optimal Control over Moving Sources in the Heat Equation
by: Teimurov, R. A., et al.
Published: (2015)

On Problem of Optimal Control of Oscillations of String
by: V. R. Barsegjan
Published: (2020)

On optimal control of a stochastic equation with a fractional Wiener pro-cess
by: P. S. Knopov, et al.
Published: (2021)

The necessary optimality conditions for a class of discrete-continuous optimal control problem
by: G. A. Gusejnzade, et al.
Published: (2015)

The Problem of Optimal Control of Compartmental Systems
by: V. P. Martsenjuk, et al.
Published: (2014)

Optimal control over the heat field in thin bodies local constraints on control
by: Kapustyan, V. E., et al.
Published: (1996)

Optimality conditions in problems of control over systems of impulsive differential equations with nonlocal boundary conditions
by: Sharifov, Ya. A., et al.
Published: (2012)

Asymptotically optimal control for a control-linear problem with fast and slow variables
by: I. A. Bojtsova
Published: (2016)

Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion
by: Kapustyan, V. E., et al.
Published: (2015)