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Non-Hermitian Solutions of Algebraic Riccati Equations

Published online by Cambridge University Press:  20 November 2018

Leiba Rodman
Leiba Rodman*
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187-8795, U.S.A. e-mail: lxrodm@math.wm.edu
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Abstract

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Non-hermitian solutions of algebraic matrix Riccati equations (of the continuous and discrete types) are studied. Existence is proved of non-hermitian solutions with given upper bounds of the ranks of the skew-hermitian parts, under the sign controllability hypothesis.

Keywords

15A9915A6393C60Continuous algebraic Riccati equationsdiscrete algebraic Riccati equationsnon-hermitian solutions..
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 4 , 01 August 1997 , pp. 840 - 854
Copyright
Copyright © Canadian Mathematical Society 1997

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