Stability Analysis of Sampled-Data Systems via Free-Matrix-Based Time-Dependent Discontinuous Lyapunov Approach

被引：254

作者：

Lee, Tae H. ^{[1
]}

Park, Ju H. ^{[1
]}

机构：

[1] Yeungnam Univ, Dept Elect Engn, Gyongsan 38541, South Korea

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

Discontinuous Lyapunov approach; free-matrix-based integral inequality (FMBII); sampled-data systems; stability; LINEAR-SYSTEMS; DELAY; STABILIZATION; INEQUALITY;

D O I：

10.1109/TAC.2017.2670786

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 paper, a new time-dependent discontinuous Lyapunov functional, namely, free-matrix-based time-dependent discontinuous (FMBTDD) Lyapunov functional is introduced for stability analysis of sampled-data systems. First, a modified free-matrix-based integral inequality (MFMBII) is derived based on the existing free-matrix-based integral inequality [1] and it is applied to develop a stability criterion for sampled-data systems. And then, inspired by MFMBII, FMBTDD term is established that leads to efficient stability conditions. Four numerical examples are given to demonstrate the effectiveness of the proposed methods.

引用

页码：3653 / 3657

页数：5

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