Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control

Bin Liu, Zhijie Sun, Yihao Luo and Yuxuan Zhong

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

Abstract: This article studies the issue of uniform synchronization for chaotic dynamical systems via event-triggered impulsive control (ETIC). The synchronization scheme is executed by designing ETIC with three levels of event-triggering conditions. Under the designed ETIC, the uniform exponential synchronization is achieved for master–slave chaotic systems. It shows the uniform synchronization via ETIC is robust with respect to time delays in ETIC. Moreover, the notions including rate of control and cost of control are proposed for comparisons with uniform synchronization via classic impulsive control (CIC) which is time-triggered impulsive control. The chaotic Lorenz system is used to test the performances of uniform synchronization via ETIC and CIC. The specific ETIC and CIC for uniform synchronization of master–slave Lorenz systems are designed and the numerical simulations of synchronizations via ETIC and CIC are given. It is shown that from the number of control, the rate of control, and the cost of control, ETIC has obvious advantages than CIC for uniform synchronization of master–slave Lorenz systems.

Keywords: Uniform synchronization; Chaotic systems; Impulsive control; Event-triggered control; Lorenz system; Time-delays (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309823

DOI: 10.1016/j.physa.2019.121725

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