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Universal chaos synchronization control laws for general quadratic discrete systems |
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| Institution: | 1. LAMIS Laboratory, Department of Mathematics and Computer Science, University of Tebessa, Tebessa, Algeria;2. Department of Mathematics, Faculty of Science, Al-Balqa’ Applied University, Salt 19117, Jordan;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
| Abstract: | This paper addresses the reliable universal synchronization problem between two coupled chaotic quadratic discrete systems. A general nonlinear control method of synchronization for coupled 2D and 3D quadratic dynamical systems in discrete-time is proposed. The proposed synchronization method is based on universal controllers. The synchronization results are derived theoretically using active control method and Lyapunov stability theory. Numerical simulations are performed to assess the performance of the presented analysis. |
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