Sufficient Conditions for the Local Controllability of Systems with Random Parameters for an Arbitrary Number of System States

被引：0

作者：

Masterkov, Yu. V. ^{[1
]}

Rodina, L. I. ^{[1
]}

机构：

[1] Udmurt State Univ, Ul Univ Skaya 1, Izhevsk 426034, Russia

来源：

RUSSIAN MATHEMATICS | 2008年 / 52卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

control systems; local controllability; Lyapunov functions; nonanticipating control;

D O I：

10.3103/S1066369X08030043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sufficient conditions for the existence of a nonanticipating control for linear systems with stationary random parameters. We consider the case of a bounded control and an arbitrary number of system states. We estimate the probability that the system is nonanticipatingly locally controllable on a fixed time interval. We formulate the main assertions in terms of Lyapunov functions, choosing the latter in the class of piecewise continuously differentiable functions.

引用

页码：34 / 44

页数：11