Optimization of Measure-Driven Hybrid Systems

被引：16

作者：

Goncharova, Elena ^{[1
]}

Staritsyn, Maxim ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664003, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Optimal impulsive control; Measure-driven systems; Mixed constraints; Hybrid systems; Time reparameterization technique; Maximum principle; IMPULSIVE CONTROL-PROBLEMS; MAXIMUM PRINCIPLE;

D O I：

10.1007/s10957-011-9944-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study an optimal control problem for a state-dependent impulse system described by a measure differential equation. A specific time reparameterization technique is developed to reduce the impulsive control problem to the one with bounded controls. Necessary conditions of optimality are obtained by interpreting the Maximum Principle in the reduced problem. An impulsive control improvement scheme is outlined. The results of numeric simulation are presented.

引用

页码：139 / 156

页数：18

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