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Covariance and Gramian matrices in control and systems theory.

Fernando, Kurukulasuriya Vicenza (1983) Covariance and Gramian matrices in control and systems theory. PhD thesis, University of Sheffield.

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Abstract

Covariance and Gramian matrices in control and systems theory and pattern recognition are studied in the context of reduction of dimensionality and hence complexity of large-scale systems. This is achieved by the removal of redundant or 'almost' redundant information contained in the covariance and Grarrdan matrices. The Karhunen-Loeve expansion (principal component analysis) and its extensions and the singular value decomposition of matrices provide the framework for the work presented in the thesis. The results given for linear dynamical systems are based on controllability and observability Gramians and some new developments in singular perturbational analysis are also presented.

Item Type: Thesis (PhD)
Keywords: Karhunen-Loeve Expansion
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Automatic Control and Systems Engineering (Sheffield)
Identification Number/EthosID: uk.bl.ethos.280627
Depositing User: EThOS Import Sheffield
Date Deposited: 01 Nov 2016 11:41
Last Modified: 01 Nov 2016 11:41
URI: http://etheses.whiterose.ac.uk/id/eprint/15154

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