一类改进混沌Lur′e系统的滞后同步判据

DELAY SYNCHRONIZATION CRITERION FOR A CLASS OF IMPROVED CHAOTIC LUR’E SYSTEMS

本文研究了混沌Lur′e系统的滞后同步问题.通过合理构造增广Lyapunov-Krasovskii泛函,使得增广向量不仅包括单积分项以及双积分项,而且加入了增广的三重积分项.在估计Lyapunov-Krasovskii泛函导数表达式的基础上,通过零等式引入自由矩阵,同时利用积分不等式,求得以线性矩阵不等式形式表达下的混沌Lur′e系统滞后同步的判据,即充分条件.最后,通过数值计算表明本文理论研究的有效性.

The delayed synchronization of chaotic Lur′e system is studied.By constructing an appropriate augmented Lyapunov-Krasovskii functional,the augmented vector contains not only a single integral term and a double integral term,but also an augmented triple integral term.When estimating the derivative of the Lyapunov-Krasovskii functional,a free matrix is introduced through the zero equality.By using the integral inequality,the sufficient condition for the delayed synchronization of chaotic Lur′e systems is given in the form of linear matrix inequalities.Finally,numerical example demonstrates effectiveness of the proposed method.