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Ao, Wengang; Ma, Tiedong; Sanchez, René-Vinicio; Gan, Haitao

Finite-time and fixed-time impulsive synchronization of chaotic systems. (English) Zbl 1450.93052

J. Franklin Inst. 357, No. 16, 11545-11557 (2020).
Summary: This paper investigates the finite-time and fixed-time synchronization of chaotic systems with impulsive control method. Based on the theory of impulsive differential system, Lyapunov stability and finite-time control technique, some new sufficient criteria are derived to achieve the finite-time and fixed-time synchronization of chaotic systems. Different from the existing methods of finite-time and fixed-time synchronization scheme, the effective impulsive control protocol is exerted to obtain faster convergence speed and less state information transmission, which is more flexible and practical in real systems. Finally, the simulation is given to illustrate the effectiveness and validity of the theoretical results.

Cited in 12 Documents

MSC:

93D40 Finite-time stability
93C27 Impulsive control/observation systems
34C28 Complex behavior and chaotic systems of ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations

Keywords:

finite-time impulsive synchronization; fixed-time impulsive synchronization; chaotic systems
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Full Text: DOI

References:

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