Finite-Time Control for Markov Jump Systems with Partly Known Transition Probabilities and Time-Varying Polytopic Uncertainties

被引：0

作者：

Zheng, Chen ^{[1
]}

Fan, Xiaozheng ^{[1
]}

Hu, Manfeng ^{[1
,2
]}

Yang, Yongqing ^{[1
,2
]}

Jin, Yinghua ^{[1
,2
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi 214122, Peoples R China

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2015 | 2015年 / 9377卷

关键词：

finite-time stabilization; Markov systems; polytopic uncertainties; partly known transition probabilities; linear matrix inequalities; LINEAR-SYSTEMS; STOCHASTIC STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; NETWORKS; SUBJECT; DELAYS;

D O I：

10.1007/978-3-319-25393-0_2

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the finite-time control problem for Markov systems with partly known transition probabilities and polytopic uncertainties is investigated. The main result provided is a sufficient conditions for finite-time stabilization via state feedback controller, and a simpler case without controller is also considered, based on switched quadratic Lyapunov function approach. All conditions are shown in the form of LMIs. An illustrative example is presented to demonstrate the result.

引用

页码：11 / 18

页数：8

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