Mathematical Methods in Optimization of Differential Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
310 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989. It grew out of lecture notes for a graduate course given by the author at the University if Ia~i and was initially intended for students and readers primarily interested in applications of optimal control of ordinary differential equations. In this vision the book had to contain an elementary description of the Pontryagin maximum principle and a large number of examples and applications from various fields of science. The evolution of control science in the last decades has shown that its meth ods and tools are drawn from a large spectrum of mathematical results which go beyond the classical theory of ordinary differential equations and real analy ses. Mathematical areas such as functional analysis, topology, partial differential equations and infinite dimensional dynamical systems, geometry, played and will continue to play an increasing role in the development of the control sciences. On the other hand, control problems is a rich source of deep mathematical problems. Any presentation of control theory which for the sake of accessibility ignores these facts is incomplete and unable to attain its goals. This is the reason we considered necessary to widen the initial perspective of the book and to include a rigorous mathematical treatment of optimal control theory of processes governed by ordi nary differential equations and some typical problems from theory of distributed parameter systems |
| Beschreibung: | 1 Online-Ressource (X, 262 p) |
| ISBN: | 9789401107600 9789401043274 |
| DOI: | 10.1007/978-94-011-0760-0 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-0760-0 |
| format | Electronic eBook |
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| isbn | 9789401107600 9789401043274 |
| language | English |
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| spelling | Barbu, Viorel Verfasser aut Mathematical Methods in Optimization of Differential Systems by Viorel Barbu Dordrecht Springer Netherlands 1994 1 Online-Ressource (X, 262 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 310 This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989. It grew out of lecture notes for a graduate course given by the author at the University if Ia~i and was initially intended for students and readers primarily interested in applications of optimal control of ordinary differential equations. In this vision the book had to contain an elementary description of the Pontryagin maximum principle and a large number of examples and applications from various fields of science. The evolution of control science in the last decades has shown that its meth ods and tools are drawn from a large spectrum of mathematical results which go beyond the classical theory of ordinary differential equations and real analy ses. Mathematical areas such as functional analysis, topology, partial differential equations and infinite dimensional dynamical systems, geometry, played and will continue to play an increasing role in the development of the control sciences. On the other hand, control problems is a rich source of deep mathematical problems. Any presentation of control theory which for the sake of accessibility ignores these facts is incomplete and unable to attain its goals. This is the reason we considered necessary to widen the initial perspective of the book and to include a rigorous mathematical treatment of optimal control theory of processes governed by ordi nary differential equations and some typical problems from theory of distributed parameter systems Mathematics Differential Equations Differential equations, partial Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Ordinary Differential Equations Partial Differential Equations Mathematik Optimierung (DE-588)4043664-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s 2\p DE-604 https://doi.org/10.1007/978-94-011-0760-0 Verlag 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 | Barbu, Viorel Mathematical Methods in Optimization of Differential Systems Mathematics Differential Equations Differential equations, partial Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Ordinary Differential Equations Partial Differential Equations Mathematik Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4044779-0 (DE-588)4020929-5 |
| title | Mathematical Methods in Optimization of Differential Systems |
| title_auth | Mathematical Methods in Optimization of Differential Systems |
| title_exact_search | Mathematical Methods in Optimization of Differential Systems |
| title_full | Mathematical Methods in Optimization of Differential Systems by Viorel Barbu |
| title_fullStr | Mathematical Methods in Optimization of Differential Systems by Viorel Barbu |
| title_full_unstemmed | Mathematical Methods in Optimization of Differential Systems by Viorel Barbu |
| title_short | Mathematical Methods in Optimization of Differential Systems |
| title_sort | mathematical methods in optimization of differential systems |
| topic | Mathematics Differential Equations Differential equations, partial Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Ordinary Differential Equations Partial Differential Equations Mathematik Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics Differential Equations Differential equations, partial Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Ordinary Differential Equations Partial Differential Equations Mathematik Optimierung Partielle Differentialgleichung Gewöhnliche Differentialgleichung |
| url | https://doi.org/10.1007/978-94-011-0760-0 |
| work_keys_str_mv | AT barbuviorel mathematicalmethodsinoptimizationofdifferentialsystems |