Infinite dimensional linear control systems (Record no. 21875)
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| fixed length control field | 06445cam a2200625Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162130148 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172226.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070802s2005 ne a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | OCLCG |
| -- | OPELS |
| -- | OCLCQ |
| -- | MERUC |
| -- | E7B |
| -- | YDXCP |
| -- | IDEBK |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| -- | DEBBG |
| 019 ## - | |
| -- | 171113690 |
| -- | 441762603 |
| -- | 647546658 |
| -- | 779919906 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444516329 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444516328 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080457347 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080457345 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12434426 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048129900 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962230 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162130148 |
| Canceled/invalid control number | (OCoLC)171113690 |
| -- | (OCoLC)441762603 |
| -- | (OCoLC)647546658 |
| -- | (OCoLC)779919906 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 108360:108405 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA402.3 |
| Item number | .F367 2005eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | QA |
| Source | lcco |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 629.8 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fattorini, H. O. |
| Fuller form of name | (Hector O.), |
| Dates associated with a name | 1938- |
| 245 10 - TITLE STATEMENT | |
| Title | Infinite dimensional linear control systems |
| Medium | [electronic resource] : |
| Remainder of title | the time optimal and norm optimal problems / |
| Statement of responsibility, etc. | H.O. Fattorini. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 320 p.) : |
| Other physical details | ill. |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies, |
| International Standard Serial Number | 0304-0208 ; |
| Volume/sequential designation | 201 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | For more than forty years, the equation y(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date). The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals. The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research. Key features: Applications to optimal diffusion processes. Applications to optimal heat propagation processes. Modelling of optimal processes governed by partial differential equations. Complete bibliography. Includes the latest research on the subject. Does not assume anything from the reader except basic functional analysis. Accessible to researchers and advanced graduate students alike Applications to optimal diffusion processes. Applications to optimal heat propagation processes. Modelling of optimal processes governed by partial differential equations. Complete bibliography. Includes the latest research on the subject. Does not assume anything from the reader except basic functional analysis. Accessible to researchers and advanced graduate students alike. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | PREFACE -- CHAPTER 1: INTRODUCTIONP> -- 1.1 Finite dimensional systems: the maximum principle. -- 1.2. Finite dimensional systems: existence and uniqueness. -- 1.3. Infinite dimensional systems. -- CHAPTER 2: SYSTEMS WITH STRONGLY MEASURABLE CONTROLS, I -- 2.1. The reachable space and the bang-bang property -- 2.2. Reversible systems -- 2.3. The reachable space and its dual, I -- 2.4. The reachable space and its dual, II -- 2.5. The maximum principle -- 2.6. Vanishing of the costate and nonuniqueness for norm optimal controls -- 2.7. Vanishing of the costate for time optimal controls -- 2.8. Singular norm optimal controls -- 2.9. Singular norm optimal controls and singular functionals -- CHAPTER 3: SYSTEMS WITH STRONGLY MEASURABLE CONTROLS, II -- 3.1. Existence and uniqueness of optimal controls -- 3.2. The weak maximum principle and the time optimal problem -- 3.3. Modeling of parabolic equations -- 3.4. Weakly singular extremals -- 3.5. More on the weak maximum principle -- 3.6. Convergence of minimizing sequences and stability of optimal controls -- CHAPTER 4: OPTIMAL CONTROL OF HEAT PROPAGATION -- 4.1. Modeling of parabolic equations -- 4.2. Adjoints -- 4.3. Adjoint semigroups -- 4.4. The reachable space -- 4.5. The reachable space and its dual, I -- 4.6. The reachable space and its dual, II -- 4.7. The maximum principle -- 4.8. Existence, uniqueness and stability of optimal controls -- 4.9. Examples and applications -- CHAPTER 5: OPTIMAL CONTROL OF DIFFUSIONS -- 5.1. Modeling of parabolic equations -- 5.2. Dual spaces -- 5.3. The reachable space and its dual -- 5.4. The maximum principle -- 5.5. Existence of optimal controls; uniqueness and stability of supports -- 5.6. Examples and applications. -- CHAPTER 6: APPENDIX -- 6.1 Self adjoint operators, I -- 6.2 Self adjoint operators, II -- 6.3 Related research -- REFERENCES -- NOTATION AND SUBJECT INDEX. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 309-318) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Control theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus of variations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Linear control systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical optimization. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus of variations. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00844140 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Control theory. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00877085 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Linear control systems. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00999065 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical optimization. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01012099 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Fattorini, H. O. (Hector O.), 1938- |
| Title | Infinite dimensional linear control systems. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, 2005 |
| International Standard Book Number | 0444516328 |
| -- | 9780444516329 |
| Record control number | (DLC) 2005049489 |
| -- | (OCoLC)60320153 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 201. |
| International Standard Serial Number | 0304-0208 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444516329">http://www.sciencedirect.com/science/book/9780444516329</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=201">http://www.sciencedirect.com/science/publication?issn=03040208&volume=201</a> |
| Materials specified | Volltext |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10138377 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2585685 |
| 938 ## - | |
| -- | Ingram Digital eBook Collection |
| -- | IDEB |
| -- | 63386 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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