On Hybrid Impulsive and Switching Stochastic Systems

被引：0
|
作者：
Pu, Xingcheng [1 ]
Zeng, Fanhai [2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Math & Phys, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Comp Dept, Chongqing 400065, Peoples R China
来源：
ADVANCED RESEARCH ON AUTOMATION, COMMUNICATION, ARCHITECTONICS AND MATERIALS, PTS 1 AND 2 | 2011年 / 225-226卷 / 1-2期
关键词：
Hybrid Impulsive and Switching Stochastic Systems (HISSS); p-th moment asymptotic stability; p-th moment exponential stability; Lyapunov-Krasovskii function; GROSSBERG NEURAL-NETWORKS; EXPONENTIAL STABILITY;
D O I：
10.4028/www.scientific.net/AMR.225-226.268
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 article formulates and studies a model of Hybrid Impulsive and Switching Stochastic Systems (HISSS). Using integral Inequality, Ito Isometry, The Gronwall Inequality,Doob's martingale Inequality and Borel-Cantelli Lemma, we has got a existing and unique result for HISSS. On the other hand, to the best of author's knowledge, date up to now, seldom stability result has been arrived for HISSS. In order to fill this gap, p-moment asymptotic stability and p-moment exponential stability are considered. Some theorems on p-moment asymptotic stability and p-moment exponential stability of HISSS are established by using Lyapunov-Krasovskii function and stochastic analysis theory.
引用
收藏
页码：268 / +
页数：2
相关论文
共 50 条
  • [21] Stability of Stochastic Reaction-Diffusion Systems with Markovian Switching and Impulsive Perturbations
    Li, Yanbo
    Kao, Yonggui
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [22] pth Moment stability of impulsive stochastic delay differential systems with Markovian switching
    Wu, Xiaotai
    Zhang, Wenbing
    Tang, Yang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) : 1870 - 1879
  • [23] Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects
    Fang, Zhuang
    Huang, Xiaozhong
    Tan, Xuegang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [24] Comparison principle for stochastic delay impulsive systems with Poisson jump and Markovian switching
    Wang, Xin
    Li, Chuandong
    Huang, Tingwen
    Liao, Xiaofeng
    2013 IEEE 3RD ANNUAL INTERNATIONAL CONFERENCE ON CYBER TECHNOLOGY IN AUTOMATION, CONTROL AND INTELLIGENT SYSTEMS (CYBER), 2013, : 64 - +
  • [25] Analysis of stability and robust stability for stochastic hybrid systems with impulsive effects
    Yang, Ying
    Li, Jun-Min
    Liu, Xiao-Fen
    Kongzhi yu Juece/Control and Decision, 2008, 23 (05): : 555 - 559
  • [26] Input-to-State Stability of Impulsive Hybrid Systems With Stochastic Effects
    Yang, Zhichun
    Zhou, Weisong
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 286 - 291
  • [27] On synchronization of hybrid switching and impulsive networks
    Zhang, Hao
    Guan, Zhi-Hong
    Ho, Daniel W. C.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 2767 - +
  • [28] On Hybrid Impulsive and Switching Neural Networks
    Li, Chuandong
    Feng, Gang
    Huang, Tingwen
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (06): : 1549 - 1560
  • [29] Approximation of general stochastic hybrid systems by switching diffusions with random hybrid jumps
    Abate, Alessandro
    Prandini, Maria
    Lygeros, John
    Sastry, Shankar
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2008, 4981 : 598 - +
  • [30] Stability of hybrid stochastic differential systems with switching and time delay
    Pu, Xing-cheng
    Tan, Xue-gang
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 35 (03) : 569 - 585
12345