Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/84788
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Type: Journal article
Title: New lower matrix bounds for the solution of the continuous algebraic Lyapunov equation
Author: Davies, R.
Shi, P.
Wiltshire, R.
Citation: Asian Journal of Control, 2008; 10(4):449-455
Publisher: John Wiley & Sons
Issue Date: 2008
ISSN: 1561-8625
1934-6093
Statement of
Responsibility: 
Richard Davies, Peng Shi, and Ron Wiltshire
Abstract: <jats:title>Abstract</jats:title><jats:p>New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (CALE). Following each bound derivation, an iterative algorithm is proposed to derive tighter matrix bounds. In comparison to existing results, the presented results are more concise and are always valid when the CALE has a non‐negative definite solution. We finally give numerical examples to show the effectiveness of the derived bounds and make comparisons with existing results. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society</jats:p>
Keywords: Lower matrix bound; continuous algebraic Lyapunov equation; iterative algorithm
Rights: Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
DOI: 10.1002/asjc.44
Published version: http://dx.doi.org/10.1002/asjc.44
Appears in Collections:Aurora harvest 2
Electrical and Electronic Engineering publications

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