Riccati equations for strongly stabilizable bounded linear systems

Autor:	Oostveen, J.C, Curtain, R.F.
Jazyk:	angličtina
Rok vydání:	1998
Předmět:	strong stability infinite-dimensional linear systems Popov function positive real lemma Computer Science::Systems and Control SEMIGROUPS QUADRATIC OPTIMAL-CONTROL SPECTRAL FACTORIZATION INFINITE-DIMENSIONAL SYSTEMS bounded real lemma Riccati equations
Zdroj:	Automatica, 34(8), 953-967. PERGAMON-ELSEVIER SCIENCE LTD
Popis:	We obtain necessary and sufficient conditions for the existence of strongly stabilizing solutions to Riccati equations for infinite-dimensional systems that are strongly, but not exponentially stabilizable. We apply the theory to derive a Riccati criterion for the existence of J-spectral factorizations and illustrate it by proving the strict positive real and bounded real lemmas for a class of strongly stable systems with collocated actuators and sensors. (C) 1998 Elsevier Science Ltd. All rights reserved.
Databáze:	OpenAIRE
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