Title :
Lower bounds for the stability margin of delay differential systems
Author :
Agathoklis, P. ; Foda, Salah
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
Stability margins of delay differential systems of the commensurate type are defined as the shortest distance between the singularities of the system and the boundary of the stability region. Lower bounds for these stability margins are obtained for delay differential systems described by two-dimensional state-space models. These bounds are calculated in terms of positive definite solutions of a proposed m-dimensional general Lyapunov equation for delay differential systems
Keywords :
Lyapunov methods; delay-differential systems; differential equations; stability; state-space methods; commensurate type; delay differential systems; dynamical systems; lower bounds; m-dimensional general Lyapunov equation; positive definite solutions; stability margin; stability region boundary; system singularities; two-dimensional state-space models; Asymptotic stability; Delay lines; Delay systems; Differential equations; Eigenvalues and eigenfunctions; Stability criteria; State-space methods; Symmetric matrices; System testing; Uncertain systems;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100411
