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New lower solution bounds of the continuous algebraic Riccati matrix equation

Davies, Richard and Shi, Peng and Wiltshire, Ron (2007) New lower solution bounds of the continuous algebraic Riccati matrix equation. Linear Algebra and its Applications, 427 (2-3). pp. 242-255. ISSN 0024-3795

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Abstract

In optimal and robust control problems, the so-called continuous algebraic Riccati equation (CARE) plays an important part. By utilizing some matrix inequalities and linear algebraic techniques, new lower matrix bounds for the solution of the CARE are derived. Following the derived bounds, iterative algorithms are then developed to obtain sharper solution estimates. In comparison to existing results, the obtained bounds are less restrictive. Finally, we give numerical examples to demonstrate the effectiveness of our results.

Item Type: Article
Uncontrolled Keywords: ResPubID18780, matrix bound, continuous algebraic Riccati equation, iterative algorithm
Subjects: Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 26 Apr 2012 23:50
Last Modified: 15 Dec 2014 22:33
URI: http://vuir.vu.edu.au/id/eprint/3234
DOI: 10.1016/j.laa.2007.07.017
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Citations in Scopus: 14 - View on Scopus

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