中文摘要：

通过驻留概率信息的方法，研究了一类在网络环境下具有时变延迟的离散切换系统的H∞反馈控制问题．通过利用切换系统在每个子系统的驻留概率信息，将网络环境下的网络控制系统模型建模为一种新的切换系统模型．通过Lyapunov泛函方法，给出切换系统的H∞均方稳定的充分条件．然后，利用锥补线性化的方法得到控制器增益．最后，通过仿真算例验证所用方法的有效性．

英文摘要：

In this paper, a sojourn-probability-dependent method is proposed to investigate H∞ control for discrete switched systems with network time-varying delays. A new type of switched system model is built by using the sojoum probability information. The sufficient condition of H∞ feedback mean square stability is given via Lyapunov functional method. Then robust controller feedback gains are derived by using cone complement linearization method. A numerical example is given to demonstrate the effectiveness.