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New Upper Bounds for the CALE: A Singular Value Decomposition Approach  

Savov, Svetoslav G. (Institute of Information Technologies, Bulgarian Academy of Sciences, Acad.)
Popchev, Ivan P. (Institute of Information Technologies, Bulgarian Academy of Sciences, Acad.)
Publication Information
International Journal of Control, Automation, and Systems / v.6, no.2, 2008 , pp. 288-294 More about this Journal
Abstract
Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples.
Keywords
Continuous Lyapunov equation; Hurwitz matrix; singular value decomposition; solution upper bounds;
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