Chahlaoui, Y and Gallivan, K.A and Van Dooren, P (2007) Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations. In: RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005. ESAIM: Proceedings, 20 . EDP Sciences, ESAIM, France, pp. 83-92.
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Abstract
We describe an algorithm for estimating the $\mathcal{H}_{\infty}$-norm of a large linear time invariant dynamical system described by a discrete time state-space model. The algorithm uses Chandrasekhar iterations to obtain an estimate of the $\mathcal{H}_{\infty}$-norm and then uses extrapolation to improve these estimates.
Item Type: | Book Section |
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Uncontrolled Keywords: | $\mathcal{H}_{\infty}$-norm, large sparse systems, Chandrasekhar iterations. |
Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory MSC 2010, the AMS's Mathematics Subject Classification > 49 Calculus of variations and optimal control; optimization 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: | 01 Feb 2008 |
Last Modified: | 20 Oct 2017 14:12 |
URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1019 |
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