Approximation of solutions of Riccati equations

P. Bubák, C.V.M. van der Mee, A.C.M. Ran

Research output: Contribution to JournalArticleAcademicpeer-review


This paper deals with two interrelated issues. One is an invariant subspace approach to finding solutions for the algebraic Riccati equation for a class of infinite dimensional systems. The second is approximation of the solution of the algebraic Riccati equation by finite dimensional approximants. The theory of exponentially dichotomous operators and bisemigroups is instrumental in our approach. © 2005 Society for Industrial and Applied Mathematics.
Original languageEnglish
Pages (from-to)1419-1435 (electronic)
JournalSIAM Journal on Control and Optimization
Issue number4
Publication statusPublished - 2005

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