An Eigenvalue Perturbation Approach to Stability Analysis, Part I: Eigenvalue Series of Matrix Operators

This two-part paper is concerned with stability analysis of linear systems subject to parameter variations, of which linear time-invariant delay systems are of particular interest. We seek to characterize the asymptotic behavior of the characteristic zeros of such systems. This behavior determines,...

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Bibliographic Details
Published in:	SIAM journal on control and optimization Vol. 48; no. 8; pp. 5564 - 5582
Main Authors:	Chen, Jie, Fu, Peilin, Niculescu, Silviu-Iulian, Guan, Zhihong
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2010
Subjects:	Algebra Applied sciences Asymptotic properties Computer science; control theory; systems Control system analysis Control system synthesis Control theory. Systems Eigenvalues Exact sciences and technology Linear and multilinear algebra, matrix theory Linear equations Linear systems Mathematical analysis Mathematical models Mathematics Matrix Operator theory Operators Perturbation methods Sciences and techniques of general use Stability analysis Studies Asymptotic behavior Control synthesis 47A55 asymptotic analysis eigenvalue series Delay system 47A75 Delay 34E05 15A18 Asymptotic stability matrix perturbation Perturbation method Linear time invariant system Linear system 93D20 time-delay systems Linear stability Eigenvalue problem Delay time Asymptotic approximation System analysis stability
ISSN:	0363-0129, 1095-7138
Online Access:	Get full text
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