Abstract

This paper derives new results for the modify of nonlinear feedback controller. The stability results are established using the Lyapunov's second method as a main tool. Since the finding characteristic equations are not required for the modify method, the nonlinear feedback control strategy with this modification is very effective and convenient to realise the chaos control for dynamical systems. Furthermore, modify method is used to overcome some problem in nonlinear feedback controller, which helps to achieve the convergence of dynamics system easily. This proposed method has certain significances for reducing the effort and complexity of controller implementation. Finally, numerical simulations are given to illustrate and verify the results.

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