Adaptive H_∞ synchronisation of two different general chaotic systems with external disturbances
by Li-Lan Tu; Ai-Ming Xiong
International Journal of Systems, Control and Communications (IJSCC), Vol. 5, No. 1, 2013

Abstract: We investigate the synchronisation of two different general chaotic systems with external disturbances via the adaptive H_∞ control technique. Based on the Lyapunov stability theory and linear matrix inequality (LMI), several adaptive H_∞ synchronisation schemes are established which guarantee robust asymptotically synchronisation for the drive system and the noise-perturbed response system as well as achieving a prescribed robust H_∞ performance level. Finally, the Lorenz system and the noise-perturbed Rössler system are taken as an example to analyse the adaptive H_∞ synchronisation process. The numerical simulations have shown the correctness and effectiveness of the proposed methods.

Online publication date: Sat, 12-Jul-2014

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