Integral quadratic constraints derived from the set-theoretic analysis of difference inclusions

Author

Megretski, Alexandre

Author_Institution

Dept. of Electr. Eng., MIT, Cambridge, MA, USA

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2389

Abstract

The paper introduces a framework for translating the results of set-theoretical analysis of linear difference inclusions into integral quadratic constraints (IQC) describing the operation of multiplication by a time-varying bounded coefficient. This allows one to apply the specific results of iterative convex analysis in a much broader environment of systems with linear time-invariant uncertainty, nonlinearity, and slow parameter variation blocks

Keywords

asymptotic stability; discrete time systems; iterative methods; large-scale systems; linear quadratic control; matrix algebra; set theory; time-varying systems; asymptotic stability; complex systems; discrete time systems; integral quadratic constraints; iterative convex analysis; linear difference inclusions; linear time-invariant uncertainty; matrix algebra; multiplication; nonlinearity; set-theory; time-varying bounded coefficient; Asymptotic stability; Constraint theory; Control theory; Integral equations; Linear matrix inequalities; Paper technology; Robust stability; Sufficient conditions; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573446

Filename

573446