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
相关论文
共 50 条
  • [31] On Exponential Stability of Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates
    Liu, Xinghua
    Xi, Hongsheng
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (01) : 1 - 11
  • [32] Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates
    Liu, Xinghua
    Xi, Hongsheng
    ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
  • [33] Improved stability and H∞ performance for neutral systems with uncertain Markovian jump
    Xiong, Lianglin
    Zhang, Haiyang
    Li, Yongkun
    Liu, Zixin
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 19 : 13 - 25
  • [34] Practical stability results for jump Markovian nonlinear hybrid systems
    Sathananthan, S
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (01): : 43 - 67
  • [35] Stochastic stability for Markovian jump linear systems associated with a finite number of jump times
    do Val, JBR
    Nespoli, C
    Zúñiga, YRC
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 334 - 339
  • [36] Stochastic stability for Markovian jump linear systems associated with a finite number of jump times
    do Val, JBR
    Nespoli, C
    Cáceres, YRZ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (02) : 551 - 563
  • [37] Stochastic Passivity of Discrete-Time Markovian Jump Nonlinear Systems
    Wang, Yue
    Gupta, Vijay
    Antsaklis, Panos J.
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 4879 - 4884
  • [38] Stability and Stabilization of Stochastic Neutral-type Markovian Jump Time-delay Systems with Two Delays
    Qiuqiu Fan
    Zhao-Yan Li
    Longsuo Li
    International Journal of Control, Automation and Systems, 2022, 20 : 365 - 374
  • [39] Robust Reliable H∞ Control for Nonlinear Stochastic Markovian Jump Systems
    Chen, Guici
    Shen, Yi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [40] Asymptotic stability of neutral stochastic pantograph systems with Markovian switching
    Zou, Zihan
    Song, Yinfang
    Zhu, Quanxin
    Zhao, Chi
    INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (06) : 1311 - 1324
12345