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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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1999
|
| Series: | Encyclopedia of mathematics and its applications
volume 62 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xv, 798 pages) |
| ISBN: | 9780511574795 |
| DOI: | 10.1017/CBO9780511574795 |
Staff View
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| 505 | 8 | 0 | |g pt. I. |g 1 |g 2 |g 3 |g 4 |t Finite Dimensional Control Problems |t Calculus of Variations and Control Theory |t Optimal Control Problems Without Target Conditions |t Abstract Minimization Problems: The Minimum Principle for the Time Optimal Problem |t The Minimum Principle for General Optimal Control Problems |g pt. II. |g 5 |g 6 |g 7 |g 8 |g 9 |g 10 |g 11 |t Infinite Dimensional Control Problems |t Differential Equations in Banach Spaces and Semigroup Theory |t Abstract Minimization Problems in Hilbert Spaces |t Abstract Minimization Problems in Banach Spaces |t Interpolation and Domains of Fractional Powers |t Linear Control Systems |t Optimal Control Problems with State Constraints |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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls | ||
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Record in the Search Index
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| any_adam_object | |
| author | Fattorini, H. O. 1938- |
| author_facet | Fattorini, H. O. 1938- |
| author_role | aut |
| author_sort | Fattorini, H. O. 1938- |
| author_variant | h o f ho hof |
| building | Verbundindex |
| bvnumber | BV043942065 |
| classification_rvk | SK 660 SK 880 |
| collection | ZDB-20-CBO |
| 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 Relaxed Controls |
| ctrlnum | (ZDB-20-CBO)CR9780511574795 (OCoLC)967684008 (DE-599)BVBBV043942065 |
| 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 Mathematik |
| doi_str_mv | 10.1017/CBO9780511574795 |
| format | Electronic eBook |
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| id | DE-604.BV043942065 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511574795 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351035 |
| oclc_num | 967684008 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xv, 798 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Fattorini, H. O. 1938- Verfasser aut Infinite dimensional optimization and control theory H.O. Fattorini Infinite Dimensional Optimization & Control Theory Cambridge Cambridge University Press 1999 1 online resource (xv, 798 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 62 Title from publisher's bibliographic system (viewed on 05 Oct 2015) pt. I. 1 2 3 4 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 pt. II. 5 6 7 8 9 10 11 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 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls Mathematical optimization Calculus of variations Control theory Optimierung (DE-588)4043664-0 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 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 Erscheint auch als Druckausgabe 978-0-521-15454-3 Erscheint auch als Druckausgabe 978-0-521-45125-3 https://doi.org/10.1017/CBO9780511574795 Verlag URL des Erstveröffentlichers 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. 1938- Infinite dimensional optimization and control theory 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 Relaxed Controls Mathematical optimization Calculus of variations Control theory Optimierung (DE-588)4043664-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Variationsrechnung (DE-588)4062355-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4207956-1 (DE-588)4062355-5 (DE-588)4032317-1 |
| title | Infinite dimensional optimization and control theory |
| title_alt | Infinite Dimensional Optimization & Control Theory 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 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 Calculus of variations Control theory Optimierung (DE-588)4043664-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Variationsrechnung (DE-588)4062355-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Mathematical optimization Calculus of variations Control theory Optimierung Unendlichdimensionales System Variationsrechnung Kontrolltheorie |
| url | https://doi.org/10.1017/CBO9780511574795 |
| work_keys_str_mv | AT fattoriniho infinitedimensionaloptimizationandcontroltheory AT fattoriniho infinitedimensionaloptimizationcontroltheory |