An Improved Delay-Dependent Stability Analysis for Markovian Jump Systems With Interval Time-Varying-Delays

被引：7

作者：

Xu, Nuo ^{[1
]}

Sun, Liankun ^{[1
,2
]}

机构：

[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Tianjin Key Lab Optoelect Detect Technol & Syst, Tianjin 300387, Peoples R China

来源：

IEEE ACCESS | 2018年 / 6卷

基金：

中国国家自然科学基金;

关键词：

Markovian jump systems (M[!text type='JS']JS[!/text]s); interval time-varying delay; improved Wirtinger-based integral inequality; H-INFINITY CONTROL; SLIDING-MODE CONTROL; LINEAR-SYSTEMS; INTEGRAL INEQUALITY; ROBUST STABILITY; STABILIZATION; STABILIZABILITY; PARAMETERS;

D O I：

10.1109/ACCESS.2018.2842715

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 put forward an improved stochastic stability condition for Markovian jump systems with interval time-varying delays. Markov jump parameters are modeled as a continuous-time Markov chain. We choose an improved Lyapunov-Krasovskii functional (LKF) and the linear matrix inequality (LMI) formulation, which can improve stability conditions with delay dependent and more suitable for solving related convex optimization problems. A new inequality processing method and the improved Wirtinger-based inequality with integral are used to deal with the LKF. The new results are showed by the LMI. At the end of this paper, some examples will be given to show that our method is effective and will bring lower conservatism.

引用

页码：33055 / 33061

页数：7

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