Stochastic finite-time stability and stabilisation of semi-Markovian jump linear systems with generally uncertain transition rates

被引：11
|
作者：
Cheng, Guifang [1 ]
Ju, Yuanyuan [1 ]
Mu, Xiaowu [1 ]
机构：
[1] Zhengzhou Univ, Coll Math & Stat, Zhengzhou 450001, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2021年 / 52卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic finite-time stability; semi-Markovian jump; generally uncertain transition rates; H-INFINITY CONTROL; DELAY SYSTEMS; ROBUST;
D O I：
10.1080/00207721.2020.1823518
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 finite-time stability and the state feedback controller design for the linear semi-Markovian jump systems with generally uncertain transition rates. Firstly, sufficient condition is established by using a stochastic Lyapunov functional. Secondly, based on the linear matrix inequality condition, the state feedback controller is obtained to guarantee the finite-time stabilisation. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：185 / 195
页数：11
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