On the ℒ1Norm of Uncertain Linear Systems

Ian J. Fialho; Tryphon T Georgiou

doi:10.1109/9.388703

On the ℒ1Norm of Uncertain Linear Systems

Ian J. Fialho, Tryphon T Georgiou

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we present an algorithm for computing the 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 ℒ1 -control of uncertain discrete-time systems are established.

Original language	English (US)
Pages (from-to)	1142-1147
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	40
Issue number	6
DOIs	https://doi.org/10.1109/9.388703
State	Published - Jun 1995

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title = "On the ℒ1Norm of Uncertain Linear Systems",

abstract = "In this paper we present an algorithm for computing the 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 ℒ1 -control of uncertain discrete-time systems are established.",

author = "Fialho, {Ian J.} and Georgiou, {Tryphon T}",

year = "1995",

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AB - In this paper we present an algorithm for computing the 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 ℒ1 -control of uncertain discrete-time systems are established.

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On the ℒ1Norm of Uncertain Linear Systems

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