AIMING CONTROL - RESIDENCE PROBABILITY AND (D, T)-STABILITY

被引：5

作者：

KIM, S

MEERKOV, SM

RUNOLFSSON, T

机构：

[1] UNIV MICHIGAN,DEPT ELECT ENGN & COMP SCI,ANN ARBOR,MI 48109

[2] JOHNS HOPKINS UNIV,DEPT ELECT & COMP ENGN,BALTIMORE,MD 21218

来源：

AUTOMATICA | 1992年 / 28卷 / 03期

关键词：

LINEAR SYSTEMS; STOCHASTIC CONTROL; LARGE DEVIATIONS; STABILITY CRITERIA; APPROXIMATION THEORY;

D O I：

10.1016/0005-1098(92)90178-I

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of aiming control is formulated and analyzed in terms of the residence probability measure. Specifically, the notion of residence probability in a domain is introduced and its asymptotic expression is derived for linear systems with small, additive white noise. The associated notion of (D, T)-stability, which characterizes the performance of stochastic systems with no equilibrium points, is introduced and investigated. Finally, the controllability of residence probability is studied and the necessary and sufficient conditions for (D, T)-stabilizability are derived. The development is based on the asymptotic large deviations theory.

引用

页码：549 / 555

页数：7

共 21 条

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