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Active Controller Design for Global Chaos Anti-Synchronization of Li and Tigan Chaotic Systems


Affiliations
1 Research and Development Centre, Vel Tech Dr. RR and Dr. SR Technical University Avadi, Chennai-600 062, Tamil Nadu, India
2 School of Electronics and Electrical Engineering, Singhania University, Dist. Jhunjhunu, Rajasthan-333 515, India
 

This paper discusses the design of active controllers for achieving global chaos anti-synchronization of identical Li systems (2009), Tigan systems (2008) and non-identical Li and Tigan systems. Lyapunov stability theory has been deployed for establishing the anti-synchronization results derived in this paper for Li and Tigan chaotic systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and suitable to achieve anti-synchronization of identical and non-identical Li and Tigan chaotic systems. Numerical simulations have been presented to illustrate the anti-synchronization results for the chaotic systems addressed in this paper.

Keywords

Active Control, Anti-Synchronization, Chaotic Systems, Li System, Tigan System, Nonlinear Control.
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  • Active Controller Design for Global Chaos Anti-Synchronization of Li and Tigan Chaotic Systems

Abstract Views: 261  |  PDF Views: 152

Authors

Sundarapandian Vaidyanathan
Research and Development Centre, Vel Tech Dr. RR and Dr. SR Technical University Avadi, Chennai-600 062, Tamil Nadu, India
Karthikeyan Rajagopal
School of Electronics and Electrical Engineering, Singhania University, Dist. Jhunjhunu, Rajasthan-333 515, India

Abstract


This paper discusses the design of active controllers for achieving global chaos anti-synchronization of identical Li systems (2009), Tigan systems (2008) and non-identical Li and Tigan systems. Lyapunov stability theory has been deployed for establishing the anti-synchronization results derived in this paper for Li and Tigan chaotic systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and suitable to achieve anti-synchronization of identical and non-identical Li and Tigan chaotic systems. Numerical simulations have been presented to illustrate the anti-synchronization results for the chaotic systems addressed in this paper.

Keywords


Active Control, Anti-Synchronization, Chaotic Systems, Li System, Tigan System, Nonlinear Control.