Multiswitching dual combination synchronization of time‐delay chaotic systems

Abstract

This paper presents a novel synchronization scheme of multiswitching dual combination synchronization which is first of its kind. Multiswitching dual combination synchronization is achieved for 6 time‐delay chaotic systems. Asymptotically stable synchronization states are established by nonlinear control method and Lyapunov Krasovskii functional. To elaborate the proposed scheme, an example of time‐delay Rossler, Chen, and Shimizu Morioka systems is considered, where time‐delay Rossler system and Chen system are considered as drive systems and time‐delay Shimizu Morioka system is considered as response system. Theoretical analysis and computational results are in excellent agreement.

Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

“…Multi-switching CS was discussed in [21,22]. Furthermore, Khan et al extended the above results to combination-combination mode [23] and its dual mode [24]. Ahmad et al [25] mainly investigated globally exponential multiswitching CS and its application on secure communications.…”

Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

“…Adaptable control [16][17][18][19]26,27] is of interest for the synchronization of chaotic systems because of the presence of unknown parameters since the learning laws are continuously updated for maintaining the performance of the system. Other controls are also applied, for example the control by state feedback [28][29][30][31][32][33][34], feedback control with delays [35][36][37][38] or active control [39][40][41][42] which works by considering the error synchronization, here the nonlinearities are eliminated, and the dynamic error equations are decoupled. Finally, synchronization has been used through neural networks [43].…”