Robust H control of uncertain stochastic Markovian jump systems with mixed time-varying delays

被引：47

作者：

Saravanakumar, R. ^{[1
]}

Ali, M. Syed ^{[1
]}

Karimi, H. R. ^{[2
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore, Tamil Nadu, India

[2] Politecn Milan, Dept Mech Engn, Appl Mech, Via La Masa 1, Milan, Italy

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 04期

关键词：

H control; linear matrix inequality; Markovian jumping parameters; stochastic systems; time-varying delay; SLIDING MODE CONTROL; INFINITY CONTROL; NEURAL-NETWORKS; FUZZY-SYSTEMS; STABILITY; STATE;

D O I：

10.1080/00207721.2016.1218092

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, robust H control for a class of uncertain stochastic Markovian jump systems (SMJSs) with interval and distributed time-varying delays is investigated. The jumping parameters are modelled as a continuous-time, finite-state Markov chain. By employing the Lyapunov-Krasovskii functional and stochastic analysis theory, some novel sufficient conditions in terms of linear matrix inequalities are derived to guarantee the mean-square asymptotic stability of the equilibrium point. Numerical simulations are given to demonstrate the effectiveness and superiority of the proposed method comparing with some existing results.

引用

页码：862 / 872

页数：11

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