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Rabinovich–Fabrikant fractional-order system; Duffing fractional-order system; adaptive synchronisation; multiswitching; fractional-order Lyapunov stability theory.

This paper gives multiswitching synchronisation scheme for a class of fractional-order chaotic systems by combining active and adaptive control theories. Adaptive controllers have been designed by using different laws of switching and fractional-order Lyapunov stability theory. We have also constructed a new fractional-order Duffing system. The fractional-order Duffing system and fractional-order Rabinovich–Fabrikant system have been taken as the drive system and the response system respectively. Applications have been demonstrated. Theoretical analysis and numerical simulations are also given to verify the robustness of the proposed controllers.

NEETU ANEJA¹ P TRIPATHI² BINAY KUMAR SHARMA³

1. Department of Mathematics, University of Delhi, New Delhi 110 007, India
2. Department of Mathematics, D.S.C., University of Delhi, New Delhi 110 003, India
3. Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi 110 017, India

Published

8 July 2020

Manuscript received

10 January 2019

Manuscript revised

19 November 2019

Accepted

3 February 2020