New Stochastic Stability Criteria for Nonlinear Neutral Markovian Jump Systems

被引：6
|
作者：
Zhang, Hongmei [1 ]
Cao, Jinde [2 ,3 ]
Xiong, Lianglin [4 ]
机构：
[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[4] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2019年 / 17卷 / 03期
关键词：
Integral inequalities; neutral Markovian jumping systems; nonlinear perturbations; stochastic stability; TIME-VARYING DELAYS; ROBUST STABILITY; EXPONENTIAL STABILITY; DEPENDENT STABILITY; NEURAL-NETWORKS; LINEAR-SYSTEMS;
D O I：
10.1007/s12555-018-0442-x
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 address the stochastic stability of neutral markovian jumping systems with nonlinear perturbations. By constructing novel Lyapunov functionals which contain an augmented Lyapunov functional, and combining with the new inequalities, new delay-dependent stochastic stability criteria for the nominal systems are obtained. The asymptotically stable condition is a special case for the stochastic stability condition as the systems without markovian jump. Numerical examples show that the derived conditions are much less conservative than those given in the existing literature.
引用
收藏
页码：630 / 638
页数：9
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