Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(7): 2122-2129

https://doi.org/10.1007/s12555-022-1205-2

© The International Journal of Control, Automation, and Systems

Exponential Stability of Time-varying Switched Impulsive Nonlinear Systems Using Comparison Theorem

Min Fan, Mengqian Liang, and Yazhou Tian*

University of Jinan

Abstract

This paper focuses on discussing the stability of time-varying switched impulsive nonlinear systems (TVSINSs). To conquer the difficulties induced by time-varying parameters, we firstly put forward comparison theorem associated with a method that doesn’t involve any Lyapunov function and is commonly utilized in positive systems to set up new stability criteria of TVSINSs under the average dwell time (ADT) switching. In comparison with recent results, the derived ones are not only in connection with state delay and impulse delay, but also possess less conservative conditions from the simulation analyses. In conclusion, the feasibility and superiority of the adopted approaches are testified by two appropriate examples.

Keywords Average dwell time, comparison theorem, impulsive systems, time-varying switched systems.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(7): 2122-2129

Published online July 1, 2024 https://doi.org/10.1007/s12555-022-1205-2

Copyright © The International Journal of Control, Automation, and Systems.

Exponential Stability of Time-varying Switched Impulsive Nonlinear Systems Using Comparison Theorem

Min Fan, Mengqian Liang, and Yazhou Tian*

University of Jinan

Abstract

This paper focuses on discussing the stability of time-varying switched impulsive nonlinear systems (TVSINSs). To conquer the difficulties induced by time-varying parameters, we firstly put forward comparison theorem associated with a method that doesn’t involve any Lyapunov function and is commonly utilized in positive systems to set up new stability criteria of TVSINSs under the average dwell time (ADT) switching. In comparison with recent results, the derived ones are not only in connection with state delay and impulse delay, but also possess less conservative conditions from the simulation analyses. In conclusion, the feasibility and superiority of the adopted approaches are testified by two appropriate examples.

Keywords: Average dwell time, comparison theorem, impulsive systems, time-varying switched systems.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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