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Tracking and stabilizing Chen chaotic system via one multiplicative coefficient as Zhang-gradient control input

This paper considers solving the tracking and stabilizing control problems of the Chen chaotic system with multiplicative inputs. By using the Zhang-gradient (ZG) method, which combines Zhang dynamics (ZD) and gradient dynamic (GD), a ZG controller is obtained for solving the problems above. Moreover, another new ZG controller is designed by using the ZG method again. Simulation results further show the effectiveness and high efficiency of the ZG controllers.