A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator

Mark Opmeer; Orest V Iftime

doi:10.1109/CDC.2004.1428899

A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

3 Citations (SciVal)

Abstract

In this paper a representation of all bounded self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional well-posed linear system Σ(A,B,C) with an unbounded observation operator is obtained. The assumptions imposed on the systems are: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible bounded nonnegative solution.

Original language	English
Title of host publication	Proceedings of the 43rd IEEE Conference on Decision and Control (CDC)
Publisher	IEEE
Pages	2865 - 2870
Number of pages	6
ISBN (Print)	0-7803-8682-5
DOIs	https://doi.org/10.1109/CDC.2004.1428899
Publication status	Published - 2004
Event	43rd IEEE Conference on Decision and Control (CDC2004) - , Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

Conference

Conference	43rd IEEE Conference on Decision and Control (CDC2004)
Country/Territory	Bahamas
Period	14/12/04 → 17/12/04

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10.1109/CDC.2004.1428899

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A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator. / Opmeer, Mark; Iftime, Orest V.
Proceedings of the 43rd IEEE Conference on Decision and Control (CDC). IEEE, 2004. p. 2865 - 2870.

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Opmeer, M & Iftime, OV 2004, A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator. in Proceedings of the 43rd IEEE Conference on Decision and Control (CDC). IEEE, pp. 2865 - 2870, 43rd IEEE Conference on Decision and Control (CDC2004), Bahamas, 14/12/04. https://doi.org/10.1109/CDC.2004.1428899

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AB - In this paper a representation of all bounded self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional well-posed linear system Σ(A,B,C) with an unbounded observation operator is obtained. The assumptions imposed on the systems are: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible bounded nonnegative solution.

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A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator

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