Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

被引：23
|
作者：
Gomez, Marco A. [1 ]
Egorov, Alexey V. [2 ]
Mondie, Sabine [3 ]
机构：
[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Leuven, Belgium
[2] St Petersburg State Univ, St Petersburg 199034, Russia
[3] IPN, CINVESTAV, Dept Automat Control, Mexico City 07360, DF, Mexico
来源：
AUTOMATICA | 2019年 / 108卷
关键词：
Time-delay systems; Necessary and sufficient stability condition; Delay Lyapunov matrix; DELAY SYSTEMS; LINEAR-SYSTEMS; POINTWISE;
D O I：
10.1016/j.automatica.2019.06.027
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix. A notable feature is that the stability test requires a finite number of mathematical operations. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
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