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Finite-time Function Projective Synchronization in Complex Multi-links Networks and Application to Chua’s Circuit

Xi Wang and Peng Miao*
International Journal of Control, Automation, and Systems, vol. 18, no. 8, pp.1993-2001, 2020

Abstract : The article focuses on the problem of finite-time function projective synchronization which is happened in complex multi-links networks with constant time delay or time-varying delay problems and it is applied to Chua’s circuit. The main contribution is that a special class of nonlinear feedback controllers are proposed to make finitetime function projective synchronization. The proposed two nonlinear feedback controllers contain the constant time delay or time-varying delay and they all can make finite-time function projective synchronization in complex multi-links networks with constant time delay or time-varying delay problems. In addition, their finite-time criteria are derived based on finite-time stability theory and the convergence time are estimated. At last, the presented controllers are applied to Lorenz system and Chua’s circuit the numerical simulations demonstrate the power of our method.

Keyword : Chua’s circuit, estimate convergence time, finite-time function projective synchronization, nonlinear feedback controller.

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