A new general sufficient condition for almost sure stability of jump linear systems

被引：50

作者：

Fang, YG

机构：

[1] Department of Electrical and Computer Engineering, College of Engineering, Boston University, Boston

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1997年 / 42卷 / 03期

关键词：

almost sure stability; jump linear systems; stochastic stability;

D O I：

10.1109/9.557580

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, we study the almost sure stability of discrete-time jump linear systems with a finite-state Markov-form process, A general condition for almost sure stability, which is a necessary and sufficient condition for (scalar) one-dimensional systems, is derived. Many simpler testable sufficient conditions for almost sure stability are derived from this sufficient condition.

引用

页码：378 / 382

页数：5

共 19 条

[1]

[Anonymous], 1960, IRE T AUTOM CONTROL

[2]

BELLMAN R, 1960, DUKE MATH J, V21, P456

[3]

BERTRAM JE, 1959, T IRE PGIT, V5, P260

[4]

Bharucha B. H., 1961, THESIS U CALIF BERKE

[5]

CHIZECK HJ, 1986, INT J CONTROL, V43, P213, DOI 10.1080/00207178608933459

[6] STABILITY RESULTS FOR DISCRETE-TIME LINEAR-SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS [J].

COSTA, OLV ;

FRAGOSO, MD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) :154-178

[7]

DARKHOVSKII BS, 1971, AUTOMAT REM CONTR+, V32, P1560

[8]

Fang Y., 1995, J MATH SYSTEMS ESTIM, V5, P275

[9]

FANG Y, 1994, THESIS CASE W RESERV

[10] ALMOST SURE AND DELTA-MOMENT STABILITY OF JUMP LINEAR-SYSTEMS [J].

FANG, YG ;

LOPARO, KA ;

FENG, XB .

INTERNATIONAL JOURNAL OF CONTROL, 1994, 59 (05) :1281-1307

← 1 2 →