1. Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control.
- Author
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Liu, Bin, Sun, Zhijie, Luo, Yihao, and Zhong, Yuxuan
- Subjects
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CHAOS synchronization , *COST control , *DYNAMICAL systems , *SYNCHRONIZATION , *ROBUST control , *COMPUTER simulation , *TIME delay systems - 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. • A synchronization scheme via event-triggered impulsive control (ETIC) is proposed. • The synchronization via ETIC is executed when one of state-based events is triggered. • The classic impulsive synchronization is significantly improved via ETIC. • The synchronization via ETIC is robust with respect to time-delays. • Lorenz systems are used to verify the performances of synchronization via ETIC. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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