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Title: Covariance and Gramian matrices in control and systems theory
Author: Fernando, Kurukulasuriya Vicenza
ISNI:       0000 0001 3461 6952
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 1983
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Karhunen-Loeve Expansion