Input-to-state stability for nonlinear systems with stochastic impulses

被引：139
|
作者：
Tang, Yang [1 ]
Wu, Xiaotai [2 ]
Shi, Peng [3 ]
Qian, Feng [1 ]
机构：
[1] East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China
[2] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China
[3] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源：
AUTOMATICA | 2020年 / 113卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear systems; Input-to-state stability; Impulsive systems; Markov process; Stochastic process; MULTIAGENT SYSTEMS; CONSENSUS; DELAY;
D O I：
10.1016/j.automatica.2019.108766
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, the problem of input-to-state stability (ISS) is systematically investigated for nonlinear systems with stochastic impulses. First, the ISS problem is considered for systems, where impulsive strengths are assumed to be stochastic and impulsive intervals are confined by the average impulsive interval. Then, the ISS problem is analyzed for nonlinear systems with both stochastic impulsive intensity and density. Several different cases are considered, i.e., cases where the impulsive instants are satisfied by a renewal process, Poisson process, semi-Markov chain and Markov chain. An example of coordination of multi-agent systems is provided to illustrate the effectiveness of the proposed new stability criteria. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Input-to-state Stability of Nonlinear Positive Systems
    Zhao, Yan
    Meng, Fanwei
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (12) : 3058 - 3068
  • [32] Input-to-state stability of switched nonlinear systems
    Feng Wei
    Zhang JiFeng
    [J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2008, 51 (12): : 1992 - 2004
  • [33] Input-to-state stability of switched nonlinear systems
    Wei Feng
    JiFeng Zhang
    [J]. Science in China Series F: Information Sciences, 2008, 51
  • [34] INPUT-TO-STATE STABILITY OF NONLINEAR IMPULSIVE SYSTEMS
    Dashkovskiy, Sergey
    Mironchenko, Andrii
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) : 1962 - 1987
  • [35] Input-to-state stability of switched nonlinear systems
    FENG Wei1
    2 Academy of Mathematics and Systems Science
    [J]. Science China(Information Sciences), 2008, (12) : 1992 - 2004
  • [36] Input-to-state Stability of Nonlinear Positive Systems
    Yan Zhao
    Fanwei Meng
    [J]. International Journal of Control, Automation and Systems, 2019, 17 : 3058 - 3068
  • [37] Stochastic Incremental Input-to-State Stability of Nonlinear Switched Systems with Brownian Motions
    Yuanhong Ren
    Weiqun Wang
    Weisong Zhou
    Mingxuan Shen
    [J]. Circuits, Systems, and Signal Processing, 2021, 40 : 2242 - 2266
  • [38] Stochastic Incremental Input-to-State Stability of Nonlinear Switched Systems with Brownian Motions
    Ren, Yuanhong
    Wang, Weiqun
    Zhou, Weisong
    Shen, Mingxuan
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2021, 40 (05) : 2242 - 2266
  • [39] Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems
    Ai, Zidong
    Zong, Guangdeng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 : 462 - 473
  • [40] Exponential input-to-state stability of composite stochastic systems
    Fakhreddin Abedi
    Wah June Leong
    Sarkhosh Seddighi Chaharborj
    [J]. Advances in Difference Equations, 2013
12345