The Hinfinity-norm calculation for large sparse systems.

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul (2004) The Hinfinity-norm calculation for large sparse systems. In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

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Abstract

In this paper, we describe an algorithm for estimating the H∞-norm of a large linear time invariant dynamical system described by a discrete time state-space model. The algorithm is designed to be efficient for state-space models defined by {A,B,C,D} where A is a large sparse matrix of order n which is assumed very large relative to the input and output dimensions of the system.

Item Type: Conference or Workshop Item (Paper)
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User: Dr Younes Chahlaoui
Date Deposited: 10 Feb 2008
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1031

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