Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems (Q2061194)
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scientific article; zbMATH DE number 7443496
| Language | Label | Description | Also known as |
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| English | Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems |
scientific article; zbMATH DE number 7443496 |
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Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems (English)
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13 December 2021
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This paper studies the asymptotic stability of a class of nonlinear impulsive dynamic systems. The authors propose sufficient conditions for the asymptotic stability of the origin by using indefinite Lyapunov functions, namely functions that may increase both during some continuous portion of the trajectory and at some impulses. Two numerical examples illustrate the results. Moreover, based on their analysis, the authors design an impulsive control strategy for a chaotic system.
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impulsive system
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impulsive control
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asymptotic stability
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indefinite Lyapunov function
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