Infinite-dimensional linear systems, optimal control and algebraic Riccati equations

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en Mikkola, Kalle 2012-02-10T09:35:36Z 2012-02-10T09:35:36Z 2002-10-18
dc.identifier.isbn 951-22-6079-4
dc.identifier.issn 0784-3143
dc.description.abstract In this monograph, we solve rather general linear, infinite-dimensional, time-invariant control problems, including the H∞ and LQR problems, in terms of algebraic Riccati equations and of spectral or coprime factorizations. We work in the class of (weakly regular) well-posed linear systems (WPLSs) in the sense of G. Weiss and D. Salamon. Moreover, we develop the required theories, also of independent interest, on WPLSs, time-invariant operators, transfer and boundary functions, factorizations and Riccati equations. Finally, we present the corresponding theories and results also for discrete-time systems. en
dc.format.extent 3 nid.
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Helsinki University of Technology en
dc.publisher Teknillinen korkeakoulu fi
dc.relation.ispartofseries Research reports / Helsinki University of Technology, Institute of Mathematics. A en
dc.relation.ispartofseries Teknillisen korkeakoulun matematiikan laitoksen tutkimusraporttisarja. A fi
dc.relation.ispartofseries 452 en
dc.subject.other Mathematics en
dc.title Infinite-dimensional linear systems, optimal control and algebraic Riccati equations en
dc.type G4 Monografiaväitöskirja fi
dc.description.version reviewed en
dc.contributor.department Department of Engineering Physics and Mathematics en
dc.contributor.department Teknillisen fysiikan ja matematiikan osasto fi
dc.subject.keyword suboptimal H-infinity control en
dc.subject.keyword standard H-infinity problem en
dc.subject.keyword H-infinity full information control problem en
dc.subject.keyword LQR control en
dc.subject.keyword H2 problem en
dc.subject.keyword positive real lemma en
dc.subject.keyword dynamic stabilization en
dc.subject.keyword (J,S)-spectral factorization en
dc.subject.keyword (J,S)-inner coprime factorization en
dc.subject.keyword weakly regular well-posed linear systems en
dc.subject.keyword discrete-time en
dc.subject.keyword time-invariant operators en
dc.subject.keyword transfer functions en
dc.subject.keyword H-infinity boundary functions en
dc.subject.keyword Bochner integral en
dc.identifier.urn urn:nbn:fi:tkk-001943
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (monografia) fi
dc.type.ontasot Doctoral dissertation (monograph) en
dc.contributor.lab Institute of Mathematics en
dc.contributor.lab Matematiikan laitos fi

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