SECURE COMMUNICATION THROUGH FUNCTION-SYNCHRONIZATION OF TIME-DELAYED UNCERTAIN GENESIO-LORENZ SYSTEMS

Abstract

In this manuscript, we have developed a new technique to obtain generalised function synchronization between two non-identical chaotic systems by adaptive sliding mode control technique. The adaptive controller consists of both static state feedback as well as time-varying delayed state feedback terms. The controller is designed without using any lemmas. Further, the technique is applied to synchronize modified multi-delayed Genesio system and Lorenz system. Next, we have shown its application in achieving secure communication between non-identical Genesio system as sender and Lorenz system as the receiver system. We have modified the Chaotic Masking Scheme for achieving enhanced security. Finally, numerical simulations are performed which confirm the effectiveness of our proposed control techniques and encryption methods.