Infinite dimensional optimization and control theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Cambridge University Press
1999
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
v.62 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 773-793) and index Pt. I. - Finite Dimensional Control Problems - 1 - Calculus of Variations and Control Theory - 2 - Optimal Control Problems Without Target Conditions - 3 - Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem - 4 - The Minimum Principle for General Optimal Control Problems -- - Pt. II. - Infinite Dimensional Control Problems - 5 - Differential Equations in Banach Spaces and Semigroup Theory - 6 - Abstract Minimization Problems in Hilbert Spaces - 7 - Abstract Minimization Problems in Banach Spaces - 8 - Interpolation and Domains of Fractional Powers - 9 - Linear Control Systems - 10 - Optimal Control Problems with State Constraints - 11 - Optimal Control Problems with State Constraints -- - Pt. III. - Relaxed Controls This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls |
| Beschreibung: | 1 Online-Ressource (xv, 798 p.) |
| ISBN: | 0511574797 0521451256 1107088585 9780511574795 9780521451253 9781107088580 |
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| 500 | |a This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls | ||
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Datensatz im Suchindex
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| author | Fattorini, H. O., (Hector O.) |
| author_facet | Fattorini, H. O., (Hector O.) |
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| author_sort | Fattorini, H. O., (Hector O.) |
| author_variant | h o h o f hoho hohof |
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| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
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| dewey-search | 003/.5 |
| dewey-sort | 13 15 |
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| discipline | Informatik |
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| id | DE-604.BV043087513 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:02Z |
| institution | BVB |
| isbn | 0511574797 0521451256 1107088585 9780511574795 9780521451253 9781107088580 |
| language | English |
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| spelling | Fattorini, H. O., (Hector O.) Verfasser aut Infinite dimensional optimization and control theory H.O. Fattorini New York Cambridge University Press 1999 1 Online-Ressource (xv, 798 p.) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications v.62 Includes bibliographical references (p. 773-793) and index Pt. I. - Finite Dimensional Control Problems - 1 - Calculus of Variations and Control Theory - 2 - Optimal Control Problems Without Target Conditions - 3 - Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem - 4 - The Minimum Principle for General Optimal Control Problems -- - Pt. II. - Infinite Dimensional Control Problems - 5 - Differential Equations in Banach Spaces and Semigroup Theory - 6 - Abstract Minimization Problems in Hilbert Spaces - 7 - Abstract Minimization Problems in Banach Spaces - 8 - Interpolation and Domains of Fractional Powers - 9 - Linear Control Systems - 10 - Optimal Control Problems with State Constraints - 11 - Optimal Control Problems with State Constraints -- - Pt. III. - Relaxed Controls This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls Optimaliseren gtt Variatierekening gtt Controleleer gtt Optimisation mathématique Calcul des variations Commande, Théorie de la Calcul des variations ram Optimisation mathématique ram Commande, Théorie de la ram COMPUTERS / Cybernetics bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Mathematical optimization Calculus of variations Control theory Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 s Optimierung (DE-588)4043664-0 s Kontrolltheorie (DE-588)4032317-1 s 1\p DE-604 Unendlichdimensionales System (DE-588)4207956-1 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569343 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fattorini, H. O., (Hector O.) Infinite dimensional optimization and control theory Optimaliseren gtt Variatierekening gtt Controleleer gtt Optimisation mathématique Calcul des variations Commande, Théorie de la Calcul des variations ram Optimisation mathématique ram Commande, Théorie de la ram COMPUTERS / Cybernetics bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Mathematical optimization Calculus of variations Control theory Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd Variationsrechnung (DE-588)4062355-5 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4207956-1 (DE-588)4032317-1 (DE-588)4062355-5 (DE-588)4043664-0 |
| title | Infinite dimensional optimization and control theory |
| title_auth | Infinite dimensional optimization and control theory |
| title_exact_search | Infinite dimensional optimization and control theory |
| title_full | Infinite dimensional optimization and control theory H.O. Fattorini |
| title_fullStr | Infinite dimensional optimization and control theory H.O. Fattorini |
| title_full_unstemmed | Infinite dimensional optimization and control theory H.O. Fattorini |
| title_short | Infinite dimensional optimization and control theory |
| title_sort | infinite dimensional optimization and control theory |
| topic | Optimaliseren gtt Variatierekening gtt Controleleer gtt Optimisation mathématique Calcul des variations Commande, Théorie de la Calcul des variations ram Optimisation mathématique ram Commande, Théorie de la ram COMPUTERS / Cybernetics bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Mathematical optimization Calculus of variations Control theory Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd Variationsrechnung (DE-588)4062355-5 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Optimaliseren Variatierekening Controleleer Optimisation mathématique Calcul des variations Commande, Théorie de la COMPUTERS / Cybernetics Calculus of variations Control theory Mathematical optimization Unendlichdimensionales System Kontrolltheorie Variationsrechnung Optimierung |
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