Bounds on the eigenvalues of systems with delay

被引：1
作者：
Verriest, Erik I. [1 ]
机构：
[1] Georgia Inst Technol, Atlanta, GA 30332 USA
来源：
IFAC PAPERSONLINE | 2023年 / 56卷 / 02期
关键词：
Time delay systems; stability; eigenvalues; bounds; STABILITY;
D O I：
10.1016/j.ifacol.2023.10.1681
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We review some known bounds for eigenvalues of matrices and use similar techniques to derive bounds for nonlinear eigen problems and the eigenvalues for LTI systems with delays. Two classes of results are presented. The first are based on Hermitian decompositions, the second on Gershgorin's theorem. The bounds are easily computable. We reflect on implications for stability theory, which may be contrasted with bounds that have been obtained via Riccati stability based on Lyapunov-Krasovskii theory. Copyright (c) 2023 The Authors.
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页码：911 / +
页数：7
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