Finite-time stabilization of nonlinear systems via impulsive control with state-dependent delay

This paper focuses on the issue of finite-time stability for a general form of nonlinear systems subject to state-dependent delayed impulsive controller. Based on the Lyapunov theory and the impulsive control theory, sufficient conditions for finite-time stability (FTS) and finite-time contractive s...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 359; no. 3; pp. 1196 - 1214
Main Authors Zhang, Xiaoyu, Li, Chuandong, Li, Hongfei
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.02.2022
Elsevier Science Ltd
Subjects
Cellular communication
Circuits
Control theory
Controllers
Finite element analysis
Linear matrix inequalities
Mathematical analysis
Neural networks
Nonlinear systems
System effectiveness
Systems stability
Time synchronization
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ISSN0016-0032
1879-2693
0016-0032
DOI10.1016/j.jfranklin.2021.11.013

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Summary:This paper focuses on the issue of finite-time stability for a general form of nonlinear systems subject to state-dependent delayed impulsive controller. Based on the Lyapunov theory and the impulsive control theory, sufficient conditions for finite-time stability (FTS) and finite-time contractive stability (FTCS) are obtained. Additionally, we apply theoretical results to finite-time synchronization of chaotic systems and design the effective state-dependent delayed impulsive controllers in terms of techniques of linear matrix inequality (LMI). Finally, we present two numerical examples of finite-time synchronization of cellular neural networks and Chua’s circuit to verify the effectiveness of our results.
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ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2021.11.013