Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon: continuous and approximation theories
Originally published in 2000, this is the second 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 a...
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 75 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Originally published in 2000, this is the second 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 unifies 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 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. 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, Seite 645-1067) |
| ISBN: | 9780511574801 |
| DOI: | 10.1017/CBO9780511574801 |
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| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511574801 |
| language | English |
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| series | Encyclopedia of mathematics and its applications |
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| spelling | Lasiecka, Irena 1948- (DE-588)111374383 aut Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories Irena Lasiecka, Roberto Triggiani Cambridge ; New York ; Melbourne [u.a.] Cambridge University Press 2000 1 Online-Ressource (xxi, Seite 645-1067) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 75 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Originally published in 2000, this is the second 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 unifies 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 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. 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 Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s DE-604 Parabolische Differentialgleichung (DE-588)4173245-5 s Triggiani, Roberto 1942- (DE-588)112914292 aut Erscheint auch als Druck-Ausgabe 978-0-521-58401-2 Erscheint auch als Druck-Ausgabe 978-0-521-15568-7 Encyclopedia of mathematics and its applications volume 75 (DE-604)BV044777929 75 https://doi.org/10.1017/CBO9780511574801 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Lasiecka, Irena 1948- Triggiani, Roberto 1942- Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories Encyclopedia of mathematics and its applications Differential equations, Partial Control theory Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4173245-5 |
| title | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories |
| title_auth | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories |
| title_exact_search | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories |
| title_full | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories Irena Lasiecka, Roberto Triggiani |
| title_fullStr | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories Irena Lasiecka, Roberto Triggiani |
| title_full_unstemmed | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon continuous and approximation theories Irena Lasiecka, Roberto Triggiani |
| title_short | Control theory for partial differential equations, 2, Abstract hyperbolic-like systems over a finite time horizon |
| title_sort | control theory for partial differential equations 2 abstract hyperbolic like systems over a finite time horizon continuous and approximation theories |
| title_sub | continuous and approximation theories |
| topic | Differential equations, Partial Control theory Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Differential equations, Partial Control theory Hyperbolische Differentialgleichung Parabolische Differentialgleichung |
| url | https://doi.org/10.1017/CBO9780511574801 |
| volume_link | (DE-604)BV044777929 |
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