Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems

Author

Khammash, Mustafa H.

Author_Institution

Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Volume

38

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

49

Lastpage

57

Abstract

Necessary and sufficient conditions for robustness of time-varying systems with structured norm-bounded uncertainty are provided. The L ^∞ signal norm is used and the conditions are given in terms of the spectral radii of certain matrices obtained from the kernel representation of the time-varying system at hand. The derived conditions are then applied to continuous time linear time-invariant systems and for sampled-data systems

Keywords

linear systems; matrix algebra; sampled data systems; stability; time-varying systems; L^∞ signal norm; continuous time linear time-invariant systems; kernel representation; necessary and sufficient conditions; robustness; sampled-data systems; structured norm-bounded uncertainty; time-varying systems; Adaptive control; Control systems; Kernel; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.186311

Filename

186311