On the £1 norm of uncertain linear systems

In this paper we present an algorithm for computing the l){infinity})-induced norm of linear systems described by time-varying difference equations with uncertain system matrices. The approach is based on ideas from convex analysis. The convergence of the algorithm is studied, and vertex-type result...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1995-06, Vol.40 (6), p.1142-1147
Main Authors: FIALHO, I. J, GEORGIOU, T. T
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
System theory
Online Access:Get full text
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Summary:In this paper we present an algorithm for computing the l){infinity})-induced norm of linear systems described by time-varying difference equations with uncertain system matrices. The approach is based on ideas from convex analysis. The convergence of the algorithm is studied, and vertex-type results related to the stabilization and )1)-control of uncertain discrete-time systems are established
ISSN:0018-9286
1558-2523
DOI:10.1109/9.388703