Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance

被引：4
作者：
Zhu, Xingao [1 ]
Liu, Shutang [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 420卷
基金：
中国国家自然科学基金;
关键词：
Reachable set estimation; Nonlinear time-varying system; Delayed impulse; Time delay; Disturbance; HOMOGENEOUS POSITIVE SYSTEMS; EXPONENTIAL STABILITY; STABILIZATION;
D O I：
10.1016/j.amc.2021.126910
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note is concerned with the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse and disturbance. Based on a novel method which does not involve the usual Lyapunov-Krasovskii functional approach, sufficient conditions, under the designed average dwell time switching, are provided for the characterization of a special sphere such that all the states of the system converge exponentially within it. Moreover, an extension is available to the result of linear time-varying systems. Finally, two simulation results are illustrated by examples to show the validity. (c) 2021 Elsevier Inc. All rights reserved.
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页数：12
相关论文
共 32 条
  • [1] Exponential stability of nonlinear time-delay systems with delayed impulse effects
    Chen, Wu-Hua
    Zheng, Wei Xing
    [J]. AUTOMATICA, 2011, 47 (05) : 1075 - 1083
  • [2] Hidden Markov Model-Based Nonfragile State Estimation of Switched Neural Network With Probabilistic Quantized Outputs
    Cheng, Jun
    Park, Ju H.
    Cao, Jinde
    Qi, Wenhai
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (05) : 1900 - 1909
  • [3] Stability of switched positive nonlinear systems
    Dong, Jiu-Gang
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (14) : 3118 - 3129
  • [4] On the Decay Rates of Homogeneous Positive Systems of Any Degree With Time-Varying Delays
    Dong, Jiu-Gang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (11) : 2983 - 2988
  • [5] Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays
    Feyzmahdavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (06) : 1594 - 1599
  • [6] Discrete-time impulsive and switched systems with delayed impulses: Delay-based criteria on input-to-state stability
    Gao, Lijun
    Liu, Huiying
    Park, Ju H.
    Liu, Zihan
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (18) : 9109 - 9126
  • [7] Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
  • [8] Observer-based fuzzy adaptive stabilization of uncertain switched stochastic nonlinear systems with input quantization
    Huo, Xin
    Ma, Li
    Zhao, Xudong
    Zong, Guangdeng
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (04): : 1789 - 1809
  • [9] On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances
    Kwon, O. M.
    Lee, S. M.
    Park, Ju H.
    [J]. INFORMATION SCIENCES, 2011, 181 (17) : 3735 - 3748
  • [10] Reachable set estimation for discrete-time linear systems with time delays
    Lam, James
    Zhang, Baoyong
    Chen, Yong
    Xu, Shengyuan
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (02) : 269 - 281
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