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

fYear

1989

Firstpage

549

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., IEEE International Symposium on

Conference_Location

Portland, OR

Type

conf

DOI

10.1109/ISCAS.1989.100411

Filename

100411

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1628026