Stochastic stability and stabilization of Markov jump linear systems with fixed dwell time and unknown transition rates

被引：0
|
作者：
Jia, Yang [1 ]
Yang, Jun [1 ]
机构：
[1] Southwest Minzu Univ, Coll Elect Engn, Key Lab Elect Informat State Ethn Affairs Commiss, Chengdu 610041, Sichuan, Peoples R China
来源：
2022 34TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2022年
关键词：
Markov jump linear systems(MJLSs); Fixed dwell time; Unknown transition rates; Multiple piecewise quadratic Lyapunov functions (MPQLFs); Vertex method; SWITCHED SYSTEMS;
D O I：
10.1109/CCDC55256.2022.10034217
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the stochastic stability and stabilization of Markov jump linear systems(MJLSs) with fixed dwell time (FDT) and partially known or completely unknown transition rates. By constructing an auxiliary system that originated from the initial system with state jumps, some stochastic stability criteria in terms of LMIs for MJLSs with FDT are established with both partially known or completely unknown transition rates. Based on multiple piecewise quadratic Lyapunov functions (MPQLFs) and vertex method, state feedback controllers are designed to stabilize the MJLSs with FDT and unknown transition rates by solving LMIs. Finally, a numerical example is given to illustrate the viability of our results.
引用
收藏
页码：3332 / 3338
页数：7
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