Abstract
This paper investigates the robust synchronisation problem for a class of Rössler systems with multiple time delays. Based on the proportional-integral switching surface, a sliding mode control (SMC) is derived to not only guarantee synchronisation between the master and slave Rössler systems with multiple time delays but also have a H∞ noise perturbation attenuation performance. The parameter matrix necessary for constructing both PI switching surface and the SMC can be easily solved by linear matrix inequality optimisation technique. The simulations results are presented to show the effectiveness of the proposed method.
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