DocumentCode
2155357
Title
On critical delays for linear neutral delay systems
Author
Jarlebring, Elias
Author_Institution
Inst. Comput. Math., Tech. Univ. Braunschweig, Braunschweig, Germany
fYear
2007
fDate
2-5 July 2007
Firstpage
5639
Lastpage
5644
Abstract
In this work we address the problem of finding the critical delays of a linear neutral delay system, i.e., the delays such that the system has a purely imaginary eigenvalue. Even though neutral delay systems exhibit some discontinuity properties with respect to changes in the delays an essential part in a non-conservative stability analysis with respect to changes in the delays, is the computation of the critical delays.
Keywords
delays; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; critical curves computation; critical delays; delay-space; general equivalence theorem; imaginary eigenvalue; linear neutral delay systems; matrix function condition; nonconservative stability analysis; retarded time-delay systems; stability switches; Circuit stability; Delay systems; Delays; Eigenvalues and eigenfunctions; Polynomials; Stability analysis; Computational Methods; Delay systems; Eigenvalue problems; Stability of Linear systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2007 European
Conference_Location
Kos
Print_ISBN
978-3-9524173-8-6
Type
conf
Filename
7068342
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