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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 62 |
| Links: | https://doi.org/10.1017/CBO9780511574795 |
| 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls. |
| Umfang: | 1 Online-Ressource (xv, 798 Seiten) |
| ISBN: | 9780511574795 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9780511574795 | ||
| 003 | UkCbUP | ||
| 005 | 20151005020621.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090522s1999||||enk o ||1 0|eng|d | ||
| 020 | |a 9780511574795 | ||
| 100 | 1 | |a Fattorini, H. O. |d 1938- | |
| 245 | 1 | 0 | |a Infinite dimensional optimization and control theory |c H.O. Fattorini |
| 246 | 3 | |a Infinite Dimensional Optimization & Control Theory | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1999 | |
| 300 | |a 1 Online-Ressource (xv, 798 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 62 | |
| 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. | ||
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521154543 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521451253 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9780511574795 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9780511574795 |
|---|---|
| _version_ | 1825574050414460928 |
| adam_text | |
| any_adam_object | |
| author | Fattorini, H. O. 1938- |
| author_facet | Fattorini, H. O. 1938- |
| author_role | |
| author_sort | Fattorini, H. O. 1938- |
| author_variant | h o f ho hof |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01781nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9780511574795</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020621.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">090522s1999||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511574795</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fattorini, H. O.</subfield><subfield code="d">1938-</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Infinite dimensional optimization and control theory</subfield><subfield code="c">H.O. Fattorini</subfield></datafield><datafield tag="246" ind1="3" ind2=" "><subfield code="a">Infinite Dimensional Optimization & Control Theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xv, 798 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 62</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521154543</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521451253</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9780511574795</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9780511574795 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:04Z |
| institution | BVB |
| isbn | 9780511574795 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xv, 798 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| 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- Infinite dimensional optimization and control theory H.O. Fattorini Infinite Dimensional Optimization & Control Theory Cambridge Cambridge University Press 1999 1 Online-Ressource (xv, 798 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 62 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. Erscheint auch als Druck-Ausgabe 9780521154543 Erscheint auch als Druck-Ausgabe 9780521451253 |
| spellingShingle | Fattorini, H. O. 1938- Infinite dimensional optimization and control theory |
| title | Infinite dimensional optimization and control theory |
| title_alt | Infinite Dimensional Optimization & 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 |
| work_keys_str_mv | AT fattoriniho infinitedimensionaloptimizationandcontroltheory AT fattoriniho infinitedimensionaloptimizationcontroltheory |