Nonsmooth analysis and control theory:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York [u.a.]
Springer
1998
|
| Series: | Graduate texts in mathematics
178 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 264 - 272 |
| Physical Description: | XII, 276 S. graph. Darst. |
| ISBN: | 0387983368 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonsmooth analysis and control theory |c F. H. Clarke ... |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1998 | |
| 300 | |a XII, 276 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Graduate texts in mathematics |v 178 | |
| 500 | |a Literaturverz. S. 264 - 272 | ||
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| 650 | 4 | |a Control theory | |
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Record in the Search Index
| _version_ | 1804126336571146240 |
|---|---|
| adam_text | Contents
Preface vii
List of Figures xiii
0 Introduction 1
1 Analysis Without Linearization 1
2 Flow Invariant Sets 7
3 Optimization 10
4 Control Theory 15
5 Notation 18
1 Proximal Calculus in Hilbert Space 21
1 Closest Points and Proximal Normals 21
2 Proximal Subgradients 27
3 The Density Theorem 39
4 Minimization Principles 43
5 Quadratic Inf Convolutions 44
6 The Distance Function 47
7 Lipschitz Functions 51
8 The Sum Rule 54
9 The Chain Rule 58
10 Limiting Calculus 61
11 Problems on Chapter 1 63
xii Contents
2 Generalized Gradients in Banach Space 69
1 Definition and Basic Properties 69
2 Basic Calculus 74
3 Relation to Derivatives 78
4 Convex and Regular Functions 80
5 Tangents and Normals 83
6 Relationship to Proximal Analysis 88
7 The Bouligand Tangent Cone and Regular Sets 90
8 The Gradient Formula in Finite Dimensions 93
9 Problems on Chapter 2 96
3 Special Topics 103
1 Constrained Optimization and Value Functions 103
2 The Mean Value Inequality Ill
3 Solving Equations 125
4 Derivate Calculus and Rademacher s Theorem 136
5 Sets in L2 and Integral Functionals 148
6 Tangents and Interiors 165
7 Problems on Chapter 3 170
4 A Short Course in Control Theory 177
1 Trajectories of Differential Inclusions 177
2 Weak Invariance 188
3 Lipschitz Dependence and Strong Invariance 195
4 Equilibria 202
5 Lyapounov Theory and Stabilization 208
6 Monotonicity and Attainability 215
7 The Hamilton Jacobi Equation and Viscosity Solutions . . 222
8 Feedback Synthesis from Semisolutions 228
9 Necessary Conditions for Optimal Control 230
10 Normality and Controllability 244
11 Problems on Chapter 4 247
Notes and Comments 257
List of Notation 263
Bibliography 265
Index 273
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| indexdate | 2024-07-09T18:15:50Z |
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| isbn | 0387983368 |
| language | English |
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| physical | XII, 276 S. graph. Darst. |
| publishDate | 1998 |
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| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Nonsmooth analysis and control theory F. H. Clarke ... New York [u.a.] Springer 1998 XII, 276 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 178 Literaturverz. S. 264 - 272 Nichtglatte Analysis - Kontrolltheorie Control theory Nonsmooth optimization Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Nichtglatte Analysis (DE-588)4379207-8 gnd rswk-swf Nichtglatte Analysis (DE-588)4379207-8 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Clarke, Francis H. Sonstige oth Graduate texts in mathematics 178 (DE-604)BV000000067 178 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007960762&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nonsmooth analysis and control theory Graduate texts in mathematics Nichtglatte Analysis - Kontrolltheorie Control theory Nonsmooth optimization Kontrolltheorie (DE-588)4032317-1 gnd Nichtglatte Analysis (DE-588)4379207-8 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4379207-8 |
| 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 F. H. Clarke ... |
| title_fullStr | Nonsmooth analysis and control theory F. H. Clarke ... |
| title_full_unstemmed | Nonsmooth analysis and control theory F. H. Clarke ... |
| title_short | Nonsmooth analysis and control theory |
| title_sort | nonsmooth analysis and control theory |
| topic | Nichtglatte Analysis - Kontrolltheorie Control theory Nonsmooth optimization Kontrolltheorie (DE-588)4032317-1 gnd Nichtglatte Analysis (DE-588)4379207-8 gnd |
| topic_facet | Nichtglatte Analysis - Kontrolltheorie Control theory Nonsmooth optimization Kontrolltheorie Nichtglatte Analysis |
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