OPTIMAL CONTROL OF DYNAMICAL SYSTEMS WITH POLYNOMIAL IMPULSES

ELENA GONCHAROVA; MAXIM STARITSYN

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OPTIMAL CONTROL OF DYNAMICAL SYSTEMS WITH POLYNOMIAL IMPULSES

机译：多项式脉冲动力系统的最优控制

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The paper is devoted to the BV-relaxation of a dynamical system, whose right-hand side is a pth degree polynomial with rational powers of control under a uniform bound on its L_p-norm, and coefficients containing usual measurable bounded control. Under natural convexity assumptions, we give an explicit representation of generalized solutions to the control system by a measure differential equation. The main results concern an optimal impulsive control problem for the relaxed system: We establish the existence of a minimizer, and give necessary optimality conditions in the form of a Maximum Principle.

机译：本文致力于动力学系统的BV松弛，它的右手边是一个pth多项式，在L_p范数上有一个统一的界线，并且具有包含通常可测界控制的系数，并且具有合理的控制力。在自然凸度假设下，我们通过度量微分方程给出控制系统的广义解的显式表示。主要结果涉及松弛系统的最优脉冲控制问题：我们建立了极小值的存在，并以最大原理的形式给出了必要的最优性条件。

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来源
《Discrete and continuous dynamical systems》 |2015年第9期|4367-4384|共18页
作者
ELENA GONCHAROVA; MAXIM STARITSYN;
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作者单位

Institute for System Dynamics and Control Theory Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia;

Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia , Institute of Mathematics, Economics and Informatics Irkutsk State University, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Optimal control; impulsive control; BV-relaxation; measure differential equations; Maximum Principle.;

机译：最佳控制;冲动控制BV松弛测量微分方程;最大原则。;

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OPTIMAL CONTROL OF DYNAMICAL SYSTEMS WITH POLYNOMIAL IMPULSES

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