中文摘要：

研究了离散混沌系统的广义投影同步问题。基于Takagi-Sugeno（TS）模糊动态模型和Lyapunov稳定性理论,导出了离散混沌系统广义投影同步的一个充分条件。通过一些矩阵操作技巧,这个准则被转化为一组线性矩阵不等式形式。然后,这些线性矩阵不等式的求解可以用Matlab工具箱方便地解决。对Henon映射的数值模拟,仿真结果表明该方法的有效性。

英文摘要：

This paper is concerned with the generalized projective synchronization of discrete chaotic systems. Based on Takagi-Sugeno （TS） fuzzy dynamical models and the Lyapunov stability theory, a sufficient condition is derived for the generalized projective synchronization of discrete chaotic systems. By using some matrix operation techniques, this criterion is then transformed into linear matrix inequalities （LMI） form, which can be solved numerically using readily available Matlab software packages. The effectiveness of the proposed generalized projective synchronization method is illustrated through numerical simulations of the Henon map.