The spectrum and eigenspace structure of linear uncertain systems

Author

Colonius, Fritz ; Kliemann, Wolfgang

Author_Institution

Inst. fuer Math., Augsburg Univ., Germany

fYear

1991

fDate

11-13 Dec 1991

Firstpage

887

Abstract

The authors present a Lyapunov exponents approach to output feedback stabilization of linear systems with time-varying uncertainties. This allows the analysis of precise stability and stabilization radii. These Lyapunov exponents are actually eigenvalues of a certain family of matrices and the corresponding eigenspaces determine the controllability structure. The Lyapunov exponents are numerically computable using optimal control methods. Several results on perturbations of linear differential equations are given. These results are applied to the output feedback stabilization of linear, uncertain systems. Several examples are included

Keywords

Lyapunov methods; controllability; differential equations; eigenvalues and eigenfunctions; feedback; linear systems; stability; Lyapunov exponents approach; controllability structure; eigenspace structure; eigenvalues; linear differential equations; linear uncertain systems; matrices; optimal control; output feedback stabilization; perturbations; precise stability; spectrum; stabilization radii; Controllability; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Optimal control; Output feedback; Stability analysis; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261447

Filename

261447