具有时滞和的离散系统的稳定性分析  

Stability analysis of discrete-time systems with additive time-varying delays

作　　者：焦建民[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《电子设计工程》2013年第5期72-74,共3页Electronic Design Engineering

基　　金：国家自然科学基金项目(11071193);宝鸡文理学院重点科研项目(ZK11044;ZK11133)

摘　　要：为了解决具有时滞和的离散系统的稳定性问题,基于Lyapunov稳定性理论,通过采用新构造的Lyapunov泛函和线性矩阵不等式处理方法,以线性矩阵不等式形式给出了使得系统满足稳定的时滞相关型准则。同时通过数值实例验证了结果的有效性。研究结果表明:所给准则可有效判定具有时滞和的离散系统的稳定性,该成果对具有时滞和的离系统的稳定性和其它控制问题的进一步研究具有一定参考价值。In order to deal with the problem of stability for discrete-time systems with two additive time-varying delays. Based on Lyapunov stabihty theory, by using a new constructed Lyapunov functional and linear matrix inequality （LMI） approach, a new delay-dependent stability criterion is presented to ensure the considered systems to be stable in terms of LMIs. Numerical example is employed to illustrate the effectiveness of the obtained result. The result show that it can be used to effectively judge the stability of discrete-time systems with two additive time-varying delays. This paper provides a useful reference for the further study of stability and control problems of discrete-time systems with two additive time-varying delays.

关 键 词：离散系统 时滞和 稳定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]