Delay-dependent conditions for finite time stability of linear time-varying systems with delay

被引：13
作者：
Chen, Menghua [1 ]
Sun, Jian [1 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2020年 / 22卷 / 02期
基金：
中国国家自然科学基金;
关键词：
delay-dependent conditions; discretization; finite time stability; time-varying system; H-INFINITY CONTROL; STABILIZATION; CONSTANT;
D O I：
10.1002/asjc.2059
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of finite time stability of linear time-varying system with delay. By constructing an augmented time-varying Lyapunov functional and using the Wirtinger-type inequality deductively, delay-dependent finite time stability conditions are derived and presented in terms of differential linear matrix inequalities (DLMIs). Then, the DLMIs are transformed into a series of recursive linear matrix inequalities (RLMIs) by discretizing the time interval into equally spaced time distances, and an algorithm is given to solve the RLMIs. Examples illustrate the feasibility and effectiveness of the proposed method.
引用
收藏
页码：924 / 933
页数：10
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