Nonsmooth Analysis and Control Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Graduate Texts in Mathematics
178 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. This volume presents the essentials of the subject clearly and succinctly, together with some of its applications and a generous supply of interesting exercises. The book begins with an introductory chapter which gives the reader a sampling of what is to come while indicating at an early stage why the subject is of interest. The next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject leading to an efficient, natural, yet powerful body of theory. The last chapter, as its name implies, is a self-contained introduction to the theory of control of ordinary differential equations. End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify the relationships between the different schools of thought in the subject. Their goal is to make nonsmooth analysis accessible to a wider audience. In this spirit, the book is written so as to be used by anyone who has taken a course in functional analysis |
| Beschreibung: | 1 Online-Ressource (XIII, 278 p) |
| ISBN: | 9780387226255 9780387983363 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b97650 |
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| 245 | 1 | 0 | |a Nonsmooth Analysis and Control Theory |c by F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, R. R. Wolenski |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97650 |
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| isbn | 9780387226255 9780387983363 |
| issn | 0072-5285 |
| language | English |
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| spelling | Clarke, F. H. Verfasser aut Nonsmooth Analysis and Control Theory by F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, R. R. Wolenski New York, NY Springer New York 1998 1 Online-Ressource (XIII, 278 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 178 0072-5285 In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. This volume presents the essentials of the subject clearly and succinctly, together with some of its applications and a generous supply of interesting exercises. The book begins with an introductory chapter which gives the reader a sampling of what is to come while indicating at an early stage why the subject is of interest. The next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject leading to an efficient, natural, yet powerful body of theory. The last chapter, as its name implies, is a self-contained introduction to the theory of control of ordinary differential equations. End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify the relationships between the different schools of thought in the subject. Their goal is to make nonsmooth analysis accessible to a wider audience. In this spirit, the book is written so as to be used by anyone who has taken a course in functional analysis Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Nichtglatte Analysis (DE-588)4379207-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Nichtglatte Analysis (DE-588)4379207-8 s Kontrolltheorie (DE-588)4032317-1 s 1\p DE-604 Ledyaev, Yu. S. Sonstige oth Stern, R. J. Sonstige oth Wolenski, R. R. Sonstige oth https://doi.org/10.1007/b97650 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Clarke, F. H. Nonsmooth Analysis and Control Theory Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Nichtglatte Analysis (DE-588)4379207-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4379207-8 (DE-588)4032317-1 |
| title | Nonsmooth Analysis and Control Theory |
| title_auth | Nonsmooth Analysis and Control Theory |
| title_exact_search | Nonsmooth Analysis and Control Theory |
| title_full | Nonsmooth Analysis and Control Theory by F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, R. R. Wolenski |
| title_fullStr | Nonsmooth Analysis and Control Theory by F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, R. R. Wolenski |
| title_full_unstemmed | Nonsmooth Analysis and Control Theory by F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, R. R. Wolenski |
| title_short | Nonsmooth Analysis and Control Theory |
| title_sort | nonsmooth analysis and control theory |
| topic | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Nichtglatte Analysis (DE-588)4379207-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Nichtglatte Analysis Kontrolltheorie |
| url | https://doi.org/10.1007/b97650 |
| work_keys_str_mv | AT clarkefh nonsmoothanalysisandcontroltheory AT ledyaevyus nonsmoothanalysisandcontroltheory AT sternrj nonsmoothanalysisandcontroltheory AT wolenskirr nonsmoothanalysisandcontroltheory |