Title :
Pseudospectra for analytic matrix functions and application to time-delay systems
Author :
Michiels, Wim ; Green, Kirk ; Wagenknecht, Thomas ; Niculescu, Silviu-Iulian
Abstract :
Definitions for pseudospectra of an analytic matrix function are given, where the structure of the function is exploited. Various perturbation measures are considered and computationally tractable formulae are derived. The results are applied to a class of retarded delay differential equations. Special properties of the pseudospectra of such equations are determined and illustrated.
Keywords :
Damping; Delay systems; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Kirk field collapse effect; Particle measurements; Polynomials; Stability; Transient response;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582844
