Abstract
To improve the synchronization speed and reduce the convergence time, a novel kind of terminal sliding mode surface was proposed and applied in the synchronization of chaotic systems. The stability of the new terminal sliding mode was proved by Lyapunov stability theorem. The new terminal sliding mode surface was constructed by high order nonlinear function of state and its derivative, so it can provide a special convergence characteristic. Based on the above new sliding mode surface, a kind of robust synchronization strategy was designed to solve the problem that how to use two active input to realized synchronization of three chaotic states .At last, detailed numerical simulation were done to testify the rightness and effectiveness of the proposed method. Also the robustness was testified by increasing control coefficients ten times but the synchronization was still stable.
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