Fixed-Time Stability of Time-Varying Hybrid Systems with Time-Delay

In this paper, fixed-time stability (FxTS) of time-varying (TV) hybrid systems with time-delay (TD) is investigated. Starting with TV nonlinear systems with TD, some sufficient conditions are given to verify the FxTS of systems by using TV Lyapunov–Krasovskii functional and integral technique. Then,...

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Bibliographic Details
Published inCircuits, systems, and signal processing Vol. 43; no. 5; pp. 2758 - 2781
Main Authors Chen, Guopei, Yang, Ying
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2024
Springer Nature B.V
Subjects
Circuits and Systems
Dwell time
Electrical Engineering
Electronics and Microelectronics
Engineering
Hybrid systems
Instrumentation
Nonlinear systems
Nuclear power plants
Signal processing
Signal,Image and Speech Processing
Stability
System theory
Systems stability
Time-delay systems
Fixed-time stability
Time-varying hybrid systems
Time-varying Lyapunov–Krasovskii functional
Function-dependent minimum dwell time
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Summary:In this paper, fixed-time stability (FxTS) of time-varying (TV) hybrid systems with time-delay (TD) is investigated. Starting with TV nonlinear systems with TD, some sufficient conditions are given to verify the FxTS of systems by using TV Lyapunov–Krasovskii functional and integral technique. Then, the obtained results are extended to the case of hybrid systems, several FxTS conditions are provided by using the multiple TV Lyapunov–Krasovskii functional and the function-dependent minimum dwell time technique. Comparing with the existing results, the obtained results can provide the more accurate estimation of the convergence time of systems, and can be applied to a wider class of systems. Finally, two numerical examples are given to illustrate the theoretical results.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-024-02604-6