Results 151 to 160 of about 5,839 (193)

Necessary conditions for an impulsive optimal control problem

2001 European Control Conference (ECC), 2001
We study a model for the exploitation of renewable stocks developed in [5]. In this particular control problem, the control law contains a measurable and an impulsive control component. We formulate Pontryagin's maximum principle for this kind of control problems (see [3]), proving first order necessary conditions of optimality.
J. Baumeister, A. Leitão
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Gradient refinement methods for optimal impulse control problems

Automation and Remote Control, 2011
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Goncharova, E. V., Staritsyn, M. V.
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Averaging Method in Problems of Optimal Control over Impulsive Systems

Journal of Mathematical Sciences, 2020
The authors investigate an impulsive optimal control problem on finite or infinite interval by means of an averaging technique. This procedure allows to replace the original problem by an optimal control problem subject to the dynamics governed by an ordinary differential equation.
Koval'chuk, T. V., Mohyl'ova, V. V., Shovkoplyas, T. V.   +2 more
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Optimal impulsive control problem and variational maximum principle

1997 European Control Conference (ECC), 1997
We consider constructive methods of extension for a typical class of nonlinear optimal control problems, linear in control. A first order necessary optimality conditions for impulsive processes (Variational maximum principle) formulated. These conditions are used to research extremals and obtain the algorithms for solving optimal impulsive control ...
Derenko Nikolay, Dykhta Vladimir, Rodnina Evgenia, Chouprova Oksana   +3 more
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An optimal control problem involving impulsive integrodifferential systems

Optimization Methods and Software, 2007
In this article, we consider a class of optimal control problems involving dynamical systems described by impulsive integrodifferential equations. First, we approximate the integral kernel of the integral equation by a finite expansion of the shifted Chebyshev polynomial.
Wu, C., Teo, Kok Lay, Zhao, Y., Yan, W.
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Necessary optimality conditions for optimal impulsive control problems with hysteresis

2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB), 2018
We study a class of optimal control problems for measure-driven differential equations with rate independent hysteresis. The hysteresis is modeled by an evolution variational inequality equivalent to the action of play operator generalized to the case of discontinuous inputs of bounded variation.
O. N. Samsonyuk, S. A. Timoshin
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Optimal Impulse Control Problems with Time Delays: An Illustrative Example

Systems & Control Letters
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Giovanni Fusco, Monica Motta, Richard Vinter   +2 more
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Sufficient optimality conditions for impulsive and switching optimal control problems

2015 34th Chinese Control Conference (CCC), 2015
In this paper, sufficient optimality conditions are given for a class of impulsive and switching optimal control problems. By parameterizing the length of every subinterval between two jumping instants, we transform the hybrid optimal control problem into an equivalent augmented problem.
Li Lihua, Gao Yan
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Optimal Control Problems of Impulsive Jumping Transition Systems

2007 Chinese Control Conference, 2006
Under the unified model of hybrid control systems, we put forward the optimal control problem of impulsive jumping transition systems. The hybrid control and hybrid Hamilton function are defined. Making use of variation methods, we prove the essential conditions when hybrid controls are optimal.
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Optimal impulsive control problems with state and mixed constraints

Doklady Mathematics, 2011
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Goncharova, E. V., Staritsyn, M. V.
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