Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations

被引：5
|
作者：
Liu, Xinghua [1 ]
Xi, Hongsheng [1 ]
机构：
[1] Univ Sci & Technol China, Dept Auto, Sch Informat Sci & Technol, Hefei 230027, Anhui, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2015年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Neutral Markovian jump systems; Nonlinear perturbations; Stochastic stability; Delay-range-dependent stability; DELAY-DEPENDENT STABILITY; H-INFINITY CONTROL; ROBUST STABILITY; TIME-DELAY; DIFFERENTIAL-EQUATIONS; LINEAR-SYSTEMS; CRITERIA; STABILIZATION; DISCRETE;
D O I：
10.1007/s10883-014-9265-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays and nonlinear perturbations is investigated. The perturbations under consideration are time-varying and norm-bounded. By delay interval dividing, a novel augmented Lyapunov functional which contains triple-integral terms to reduce the conservativeness is introduced. Based on the Lyapunov functional approach and the nature of convex combination, some improved delay-range-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities without introducing any free-weighting matrices. Finally, numerical examples are given to illustrate the effectiveness of the developed techniques.
引用
收藏
页码：285 / 305
页数：21
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