Abstract: This paper considers the problem of the stability and H∞control of a class of switch systems based on neural network.The delays are assumed to be bounded.The purpose is to design state feedback controllers that guarantee the systems are stability with a prescribed performanceγ.Based on the Lyapunov method，some sufficient conditions for the solvability of the problems are derived in term of linear matrix inequalities，which can be easily checked by resorting to available software packages.Finally，a numerical example is exploited to demonstrate the effectiveness of the proposed results.

Key words: time-delayed, stability, H∞ control, switch system

摘要：

研究一类基于神经网络的离散切换时滞非线性系统的稳定性和H∞控制问题。利用线性矩阵不等式方法得到了该类系统稳定性条件。在此基础上，通过引入一些变量讨论了该类系统的反馈控制器设计问题。以线性矩阵不等式的形式提出了该类系统反馈控制器的设计方法，并利用Matlab中的LMI工具箱直接求解。最后给出数值例子说明方法有效性。

关键词: 时滞, 稳定性, H∞控制, 切换系统