On the ℒ1Norm of Uncertain Linear Systems

Ian J. Fialho, Tryphon T Georgiou

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5 Scopus citations


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 languageEnglish (US)
Pages (from-to)1142-1147
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 1995


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