时滞Lur'e系统的采样数据主从同步
Sampled-Data Master-Slave Synchronization of Delayed Lur'e Systems
研究了带有时变时滞的混沌Lur'e系统基于采样数据控制的同步问题.首先, 构造了一个新的含有系统非线性部分有用信息和三重积分项的Lyapunov-Krasovskii泛函 (Lyapunov-Krasovskii functional, LKF), 且不要求所有的对称矩阵都是正定矩阵. 其次, 应用Jensen不等式、自由矩阵积分不等式及Schur补引理来估计LKF的导数而得到了一个新的线性矩阵不等式形式的同步判据. 最后, 时滞Chua电路的数值仿真验证了该控制方法的有效性.
This paper deals with the synchronization problem of chaotic Lur'e systems with time-varying-delay by using sampled-data control. Firstly, a novel Lyapunov-Krasovskii functional (LKF) is constructed, which includes useful information of the nonlinear parts of systems and a triple integral term, and not all the involved symmetric matrices are required to be positively definite. Then, by applying the Jensen's inequality, free-matrix-based integral inequality and Schur complement lemma to estimate the derivative of the LKF, the synchronization criteria in terms of linear matrix inequalities is newly obtained. Finally, the numerical simulation of delayed Chua's circuit is given to verify the effectiveness of this control method.
混沌Lur'e系统 / 同步 / 时变时滞 / 采样数据控制. {{custom_keyword}} /
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