Infinite dimensional optimization and control theory /:
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 dime...
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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: | Volltext |
Zusammenfassung: | 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 resource (xv, 798 pages) |
Bibliographie: | Includes bibliographical references (pages 773-793) and index. |
ISBN: | 9781107088580 1107088585 9780511574795 0511574797 |
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245 | 1 | 0 | |a Infinite dimensional optimization and control theory / |c H.O. Fattorini. |
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490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 62 | |
504 | |a Includes bibliographical references (pages 773-793) and index. | ||
505 | 0 | 0 | |g pt. I. |t Finite Dimensional Control Problems. |g 1. |t Calculus of Variations and Control Theory. |g 2. |t Optimal Control Problems Without Target Conditions. |g 3. |t Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. |g 4. |t The Minimum Principle for General Optimal Control Problems -- |g pt. II. |t Infinite Dimensional Control Problems. |g 5. |t Differential Equations in Banach Spaces and Semigroup Theory. |g 6. |t Abstract Minimization Problems in Hilbert Spaces. |g 7. |t Abstract Minimization Problems in Banach Spaces. |g 8. |t Interpolation and Domains of Fractional Powers. |g 9. |t Linear Control Systems. |g 10. |t Optimal Control Problems with State Constraints. |g 11. |t Optimal Control Problems with State Constraints -- |g pt. III. |t Relaxed Controls. |
520 | |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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650 | 0 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658 | |
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author | Fattorini, H. O. (Hector O.), 1938- |
author_GND | http://id.loc.gov/authorities/names/n82154383 |
author_facet | Fattorini, H. O. (Hector O.), 1938- |
author_role | |
author_sort | Fattorini, H. O. 1938- |
author_variant | h o f ho hof |
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callnumber-first | Q - Science |
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callnumber-subject | QA - Mathematics |
collection | ZDB-4-EBA |
contents | Finite Dimensional Control Problems. Calculus of Variations and Control Theory. Optimal Control Problems Without Target Conditions. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. The Minimum Principle for General Optimal Control Problems -- Infinite Dimensional Control Problems. Differential Equations in Banach Spaces and Semigroup Theory. Abstract Minimization Problems in Hilbert Spaces. Abstract Minimization Problems in Banach Spaces. Interpolation and Domains of Fractional Powers. Linear Control Systems. Optimal Control Problems with State Constraints. Optimal Control Problems with State Constraints -- Relaxed Controls. |
ctrlnum | (OCoLC)841487474 |
dewey-full | 003/.5 |
dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 003 - Systems |
dewey-raw | 003/.5 |
dewey-search | 003/.5 |
dewey-sort | 13 15 |
dewey-tens | 000 - Computer science, information, general works |
discipline | Informatik |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-11-27T13:25:19Z |
institution | BVB |
isbn | 9781107088580 1107088585 9780511574795 0511574797 |
language | English |
oclc_num | 841487474 |
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spelling | Fattorini, H. O. (Hector O.), 1938- https://id.oclc.org/worldcat/entity/E39PBJgmHytMG8RYH7jTgwdG73 http://id.loc.gov/authorities/names/n82154383 Infinite dimensional optimization and control theory / H.O. Fattorini. New York : Cambridge University Press, 1999. 1 online resource (xv, 798 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; v. 62 Includes bibliographical references (pages 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. Print version record. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Optimisation mathématique. Calcul des variations. Théorie de la commande. COMPUTERS Cybernetics. bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Optimaliseren. gtt Variatierekening. gtt Controleleer. gtt Calcul des variations. ram Optimisation mathématique. ram Commande, Théorie de la. ram Print version: Fattorini, H.O. (Hector O.), 1938- Infinite dimensional optimization and control theory. New York : Cambridge University Press, 1999 9780521451253 (DLC) 95047377 (OCoLC)33439458 Encyclopedia of mathematics and its applications ; v. 62. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569343 Volltext |
spellingShingle | Fattorini, H. O. (Hector O.), 1938- Infinite dimensional optimization and control theory / Encyclopedia of mathematics and its applications ; Finite Dimensional Control Problems. Calculus of Variations and Control Theory. Optimal Control Problems Without Target Conditions. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. The Minimum Principle for General Optimal Control Problems -- Infinite Dimensional Control Problems. Differential Equations in Banach Spaces and Semigroup Theory. Abstract Minimization Problems in Hilbert Spaces. Abstract Minimization Problems in Banach Spaces. Interpolation and Domains of Fractional Powers. Linear Control Systems. Optimal Control Problems with State Constraints. Optimal Control Problems with State Constraints -- Relaxed Controls. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Optimisation mathématique. Calcul des variations. Théorie de la commande. COMPUTERS Cybernetics. bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Optimaliseren. gtt Variatierekening. gtt Controleleer. gtt Calcul des variations. ram Optimisation mathématique. ram Commande, Théorie de la. ram |
subject_GND | http://id.loc.gov/authorities/subjects/sh85082127 http://id.loc.gov/authorities/subjects/sh85018809 http://id.loc.gov/authorities/subjects/sh85031658 |
title | Infinite dimensional optimization and control theory / |
title_alt | Finite Dimensional Control Problems. Calculus of Variations and Control Theory. Optimal Control Problems Without Target Conditions. Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. The Minimum Principle for General Optimal Control Problems -- Infinite Dimensional Control Problems. Differential Equations in Banach Spaces and Semigroup Theory. Abstract Minimization Problems in Hilbert Spaces. Abstract Minimization Problems in Banach Spaces. Interpolation and Domains of Fractional Powers. Linear Control Systems. Optimal Control Problems with State Constraints. Optimal Control Problems with State Constraints -- Relaxed Controls. |
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 | Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Optimisation mathématique. Calcul des variations. Théorie de la commande. COMPUTERS Cybernetics. bisacsh Calculus of variations fast Control theory fast Mathematical optimization fast Optimaliseren. gtt Variatierekening. gtt Controleleer. gtt Calcul des variations. ram Optimisation mathématique. ram Commande, Théorie de la. ram |
topic_facet | Mathematical optimization. Calculus of variations. Control theory. Optimisation mathématique. Calcul des variations. Théorie de la commande. COMPUTERS Cybernetics. Calculus of variations Control theory Mathematical optimization Optimaliseren. Variatierekening. Controleleer. Commande, Théorie de la. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569343 |
work_keys_str_mv | AT fattoriniho infinitedimensionaloptimizationandcontroltheory |