中文摘要：

采用时间相关连续Lyapunov-Krasovskii泛函方法，对线性采样数据控制系统的稳定性问题进行了研究。基于现有的一种自由矩阵积分不等式（见文献[1]），提出了一种新的适用于采样数据系统的自由矩阵积分不等式，利用该不等式处理一次积分项，得到一个确保采样数据系统稳定的充分条件。4个数值实例证明了所提方法的有效性和优越性。

英文摘要：

By adopting the time-dependent continuous Lyapunov-Krasovskii functional method,a research has been carried out on the stability of the linear sampled-data systems.Based on the existing free-matrix-based integral inequality(FMBII),a new FMBII,which is suitable for sampled-data control of system,has been proposed.A sufficient condition for the stability of sampled data systems is to be obtained by using the inequality to deal with an integral term,thus working out the sufficient condition that can guarantee the stability of sampled-data system.Four numerical examples are given to testify the efficiency and superiority of the proposed approach.