Stochastic stability of jump linear systems

被引:146
作者
Fang, YG [1 ]
Loparo, KA
机构
[1] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA
[2] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
关键词
jump linear systems; Kronecker product; Lyapunov equation; mean square stability; stability; stochastic systems;
D O I
10.1109/TAC.2002.800674
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 note, some testable conditions for mean square (i.e., second moment) stability for discrete-time jump linear systems with time-homogenous and time-inhomogenous finite state Markov chain form processes are presented.
引用
收藏
页码:1204 / 1208
页数:5
相关论文
共 13 条
[1]   LIMIT THEOREMS FOR NON-COMMUTATIVE OPERATIONS .1. [J].
BELLMAN, R .
DUKE MATHEMATICAL JOURNAL, 1954, 21 (03) :491-500
[2]  
CHIZECK HJ, 1986, INT J CONTROL, V43, P213, DOI 10.1080/00207178608933459
[3]  
Doob J. L., 1953, Stochastic processes, V101
[4]   STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].
FENG, XB ;
LOPARO, KA ;
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53
[5]  
Horn R.A., 1991, TOPICS MATRIX ANAL
[6]  
Horn R. A., 1986, Matrix analysis
[7]  
JI Y, 1991, CONTR-THEOR ADV TECH, V7, P247
[8]   A SURVEY OF STABILITY OF STOCHASTIC SYSTEMS [J].
KOZIN, F .
AUTOMATICA, 1969, 5 (01) :95-+
[9]  
Krtolica R., 1991, P 1991 AM CONTR C BO
[10]  
Mariton M., 1990, Jump Linear Systems in Automatic Control