Title :
On critical delays for linear neutral delay systems
Author :
Jarlebring, Elias
Author_Institution :
Inst. Comput. Math., Tech. Univ. Braunschweig, Braunschweig, Germany
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;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
