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
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页码：580 / 592
页数：13
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