Necessary Optimality Conditions for Continuous-Discrete Systems with Instantaneous Switching of the Discrete Part

被引：2

作者：

Bortakovskii, A. S. ^{[1
]}

机构：

[1] Moscow Inst Aviat, Moscow 125993, Russia

来源：

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL | 2011年 / 50卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

AUTOMATON PART;

D O I：

10.1134/S1064230711040058

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A continuous-discrete system in which the motion of the continuous part is described by differential equations and the behavior of the discrete part is described by recurrences is considered; instantaneous multiple switchings are allowed. Such systems are called hybrid, and they occupy an intermediate position between continuous-discrete systems with single switchings and logical-dynamical systems. Equations for the variations of functionals defined on the trajectories of such systems are derived. Necessary optimality conditions for the open-loop control are obtained. Application of the optimality conditions is illustrated by examples. DOI: 10.1134/S1064230711040058

引用

页码：580 / 592

页数：13

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