Finite-time synchronization of coupled complex-valued chaotic systems with time-delays and bounded perturbations
Autor: | Enli Wu, Yi Xiang, Fei Luo |
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Rok vydání: | 2020 |
Předmět: |
Time delays
Bounded perturbation Computer science Complex valued Statistical and Nonlinear Physics 02 engineering and technology State (functional analysis) Condensed Matter Physics Topology 01 natural sciences Synchronization Chaotic systems Bounded function 0103 physical sciences 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Finite time 010301 acoustics |
Zdroj: | Modern Physics Letters B. 35:2150130 |
ISSN: | 1793-6640 0217-9849 |
DOI: | 10.1142/s021798492150130x |
Popis: | In this paper, finite-time synchronization for a class of complex-valued coupled chaotic systems with bounded non-identical perturbations and discontinuous activations is investigated. State feedback controller and Lyapunov function are designed to deal with time delay of the coupled systems. By separating the state variables into real and imaginary parts and using chain rule, sufficient conditions are obtained to realize finite-time synchronization. Moreover, the setting time can be estimated for chaotic systems. Those results can be applied to the continuous and real-valued chaotic systems. Finally, numerical simulations are given to demonstrate the effectiveness of the theoretical results. |
Databáze: | OpenAIRE |
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