Abstract
This paper presents a new nonlinear state-feedback controller design for robust fixed-time chaos stabilization of chaotic systems in the presence of a relatively large class of uncertainties known as Holder continuous uncertainties. Based on Lyapunov's second method, a novel sufficient condition for fixed-time stability is derived. The spectacular property of the proposed controller is that the upper bound of the convergence time exists as an explicit parameter in the control's law, thus the true fixed stabilization time can be set in advance. To show the effectiveness of the proposed controller, two scenarios are provided, and the simulation results are reported.
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