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Abstract In this paper, we study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic… Click to show full abstract
Abstract In this paper, we study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic stability of the origin of nonlinear impulsive dynamic systems via indefinite Lyapunov functions. Indefinite Lyapunov functions may increase both during some continuous portion of the trajectory and at some impulses. We present two examples to demonstrate the effectiveness of our conclusions. Furthermore, based on the results, impulsive control is designed for a chaotic system.
Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2020
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