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Ma, J., Zhang, A., Xia, Y. and Zhang, L. (2010) Optimize Design of Adaptive Synchronization Controllers and Parameter Observers in Different Hyperchaotic Systems. Applied Mathematics and Computation, 215, 3318-3326.
https://doi.org/10.1016/j.amc.2009.10.020

has been cited by the following article:

• TITLE: Finite-Time Stabilization of Dynamical System with Adaptive Feedback Control

  AUTHORS: Zhicai Ma, Yongzheng Sun, Hongjun Shi

  KEYWORDS: Chaos, Finite-Time Stabilization, Adaptive Feedback Controller

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.2, February 17, 2017

  ABSTRACT: In this paper, an adaptive feedback controller is proposed to achieve the finite-time stability of dynamical system. In the proposed scheme, the feedback gain of the adaptive feedback controller is automatically tuned according to the adaptation law in order to stabilize unstable fixed points of the system. Based on the Lyapunov function method and the finite-time stability theory, we get a sufficient condition for the finite-time stability. Finally, simulation results show the effectiveness and feasibility of the proposed finite-time controller.