DocumentCode
1969183
Title
The complex stability radius of discrete-time systems and symplectic pencils
Author
Hinrichsen, D. ; Son, N.K.
Author_Institution
Inst. fuer Dynamische Syst., Bremen Univ., West Germany
fYear
1989
fDate
13-15 Dec 1989
Firstpage
2265
Abstract
The authors introduce and analyze robustness measures for the stability of discrete-time systems x (t +1)=Ax ( t ) under parameter perturbations of the form A → A +BDC where B ,C are given matrices. In particular, the authors characterize the complex stability radius of the perturbed system x (t +1)=(A +BDC ) x (t ), D unknown, via an associated symplectic pencil, and present an algorithm for the computation of that radius
Keywords
discrete time systems; stability; complex stability radius; discrete-time systems; parameter perturbations; robustness measures; symplectic pencils; Closed loop systems; Controllability; Difference equations; Mathematics; Observability; Output feedback; Robust stability; Robustness; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location
Tampa, FL
Type
conf
DOI
10.1109/CDC.1989.70573
Filename
70573
Link To Document