Exponential Stability and Stabilization for Quadratic Discrete-Time Systems with Time Delay

被引：11
作者：
Chen, Fu [1 ]
Kang, Shugui [1 ]
Qiao, Shidong [1 ]
Guo, Caixia [1 ]
机构：
[1] Shanxi Datong Univ, Sch Math & Comp Sci, Datong 037009, Shanxi, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 01期
关键词：
Quadratic systems; discrete-time systems; time-delay systems; stability; stabilization; CONTROLLER-DESIGN; BILINEAR-SYSTEMS; SATURATION; REGION;
D O I：
10.1002/asjc.1540
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, we deal with the exponential stability and stabilization problems for quadratic discrete-time systems with time delay. By using the quadratic Lyapunov function and a so called Finsler's lemma', delay-independent sufficient conditions for local stability and stabilization for quadratic discrete-time systems with time delay are derived in terms of linear matrix inequalities (LMIs). Based on these sufficient conditions, iterative linear matrix inequality algorithms are proposed for maximizing the stability regions of the systems. Finally, two examples are given to illustrate the effectiveness of the methods presented in this paper.
引用
收藏
页码：276 / 285
页数：10
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