带有采样数据时滞混沌Lur’e系统的指数同步

Exponential Synchronization of Delayed Chaotic Lur'e System with Sampled-data

  • 摘要: 研究了带有采样数据的时滞混沌Lur’e系统的指数同步问题.基于Lyapunov-Krasovskii稳定性理论、自由权矩阵方法及线性矩阵不等式技术,提出了一种新的时滞相关指数同步判据,并设计了相应的采样数据控制器.所设计的控制器使误差系统状态变量能以较快的收敛速度到达平衡点.时滞Chua电路的数值仿真验证了该控制方法的有效性.

     

    Abstract: We examine the problem of exponential synchronization for delayed chaotic Lur'e systems with sampled data. Based on the Lyapunov-Krasovskii stability theory, the free-weighting matrix approach, and linear matrix inequality technology, we propose a new delay-dependent exponential synchronization criterion and design a corresponding sampled-data controller. The designed controller causes the state variables of the error system to arrive at equilibrium point with a fast convergence rate. We present a numerical simulation of the delayed Chua's circuit to verify the effectiveness of this control method.

     

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