Control theory for partial differential equations, 1, Abstract parabolic systems: continuous and approximation theories
Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory an...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York ; Melbourne [u.a.]
Cambridge University Press
2000
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 74 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 Online-Ressource (xxi, 644 Seiten) |
| ISBN: | 9781107340848 |
| DOI: | 10.1017/CBO9781107340848 |
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| 520 | |a Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems | ||
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| discipline | Mathematik |
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| isbn | 9781107340848 |
| language | English |
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| spelling | Lasiecka, Irena 1948- (DE-588)111374383 aut Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories Irena Lasiecka ; Roberto Triggiani Cambridge ; New York ; Melbourne [u.a.] Cambridge University Press 2000 1 Online-Ressource (xxi, 644 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 74 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems Differential equations, Partial Control theory Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s DE-604 Triggiani, Roberto 1942- (DE-588)112914292 aut Erscheint auch als Druck-Ausgabe 978-0-521-15567-0 Erscheint auch als Druck-Ausgabe 978-0-521-43408-9 Erscheint auch als Druckausgabe 978-0-521-15567-0 Encyclopedia of mathematics and its applications volume 74 (DE-604)BV044777929 74 https://doi.org/10.1017/CBO9781107340848 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Lasiecka, Irena 1948- Triggiani, Roberto 1942- Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories Encyclopedia of mathematics and its applications Differential equations, Partial Control theory Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4173245-5 |
| title | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories |
| title_auth | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories |
| title_exact_search | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories |
| title_full | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories Irena Lasiecka ; Roberto Triggiani |
| title_fullStr | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories Irena Lasiecka ; Roberto Triggiani |
| title_full_unstemmed | Control theory for partial differential equations, 1, Abstract parabolic systems continuous and approximation theories Irena Lasiecka ; Roberto Triggiani |
| title_short | Control theory for partial differential equations, 1, Abstract parabolic systems |
| title_sort | control theory for partial differential equations 1 abstract parabolic systems continuous and approximation theories |
| title_sub | continuous and approximation theories |
| topic | Differential equations, Partial Control theory Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Differential equations, Partial Control theory Parabolische Differentialgleichung |
| url | https://doi.org/10.1017/CBO9781107340848 |
| volume_link | (DE-604)BV044777929 |
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