OPTIMAL SYNCHRONIZATION AND ANTI-SYNCHRONIZATION FOR A CLASS OF CHAOTIC SYSTEMS

Authors

  • B. NADERI Department of Mathematics, Payame Noor University, I. R. of Iran
  • H. KHEIRI Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  • A. HEYDARI Department of Mathematics, Payame Noor University, I. R. of Iran

Keywords:

Lyapunov stability, Synchronization, Optimal adaptive control, Chaos, T-system

Abstract

In this study, we apply the optimal adaptive control for synchronization and anti-synchronization of chaotic T-system with complete uncertain parameters on finite and infinite time intervals. Based on the Lyapunov stability theorem and Hamilton Jacobian Bellman (HJB) technique, optimal controls and parameters estimations laws are obtained. For this aim, conditions ensuring asymptotic stability of error system and minimizing cost function are used. The derived control laws make asymptotically synchronization and anti-synchronization of two identical T-systems. Finally, numerical simulations are presented to illustrate the ability and effectiveness of the proposed method.

Additional Files

Published

02/01/2018

Issue

Vol. 7 No. 2 (2016): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.