Title :
Accurate determination of the stability exponent and eigenvalue abscissas in a linear delay — Differential system
Author_Institution :
Dept. of Math., Univ. of Southern Colorado, Pueblo, CO, USA
Abstract :
The author presents a method for determining the stability exponent and eigenvalue abscissas of a linear delay system. The method is based on examining the endpoint values of the solution to a functional equation occurring in the Lyapunov theory of delay equations. A numerical example is given.
Keywords :
Lyapunov methods; delay-differential systems; eigenvalues and eigenfunctions; functional equations; linear systems; stability; Lyapunov theory; eigenvalue abscissas; endpoint values; functional equation; linear delay differential system; stability exponent; Delay systems; Delays; Differential equations; Eigenvalues and eigenfunctions; Numerical stability; Stability criteria; Delay systems; numerical methods; stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6