Robust adaptive sliding mode control technique for combination synchronisation of non-identical time delay chaotic systems

Abstract

This manuscript presents the methodology in which robust adaptive sliding mode control technique is used for implementing combination synchronisation of non-identical time-delay chaotic systems. To justify this methodology, modified Lorenz chaotic time delay system and Genesio time delay system are used. The stability condition for the error dynamics is analysed using Lyapunov stability theory and detailed mathematical theory. Numerical simulations are carried out to demonstrate the efficiency of the proposed approach that supports the analytical results.