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

Authors: Ayub Khan; Shikha

Addresses: Department of Mathematics, Jamia Millia Islamia, India ' Department of Mathematics, University of Delhi, India

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.

Keywords: time delay chaotic system; combination synchronisation; robust adaptive sliding mode control; Lyapunov stability theory.

DOI: 10.1504/IJMIC.2019.098757

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.3, pp.268 - 277

Received: 12 Jun 2017
Accepted: 17 Dec 2017
Published online: 02 Apr 2019 *

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