DocumentCode
3226639
Title
On a variation of the Gershgorin circle theorem with applications to stability theory
Author
Curran, P.F.
Author_Institution
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin, Dublin, Ireland
fYear
2009
fDate
10-11 June 2009
Firstpage
1
Lastpage
5
Abstract
The conclusions of the Gershgorin circle theorem are significantly extended for the special case of real matrices. The extended result is applied to the problem of the absolute stability of both continuous- and discrete-time Lur´e systems containing sector nonlinearities. Specifically necessary conditions for the existence of common unic Lyapunov functions are presented in the form of constraints upon the root locus of the linear, time-invariant component.
Keywords
Lyapunov methods; absolute stability; continuous time systems; control nonlinearities; discrete time systems; linear systems; matrix algebra; root loci; Gershgorin circle theorem; Lyapunov function; absolute stability; continuous-time Lur´e system; discrete-time Lur´e system; linear component; real matrix; root locus; sector nonlinearities; stability theory; time-invariant component; Gershgorin theorem; absolute stability; common unic Lyapunov function;
fLanguage
English
Publisher
iet
Conference_Titel
Signals and Systems Conference (ISSC 2009), IET Irish
Conference_Location
Dublin
Type
conf
DOI
10.1049/cp.2009.1687
Filename
5524712
Link To Document