Qualitative theory of control systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Math. Soc.
1994
|
| Series: | Translations of mathematical monographs
141 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | VIII, 147 S. graph. Darst. |
| ISBN: | 082184590X |
Staff View
MARC
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| 100 | 1 | |a Davydov, A. A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Kačestvennaja teorija upravljaemych sistem |
| 245 | 1 | 0 | |a Qualitative theory of control systems |c A. A. Davydov |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1994 | |
| 300 | |a VIII, 147 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Translations of mathematical monographs |v 141 | |
| 500 | |a Aus dem Russ. übers. | ||
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| 650 | 7 | |a Commande, théorie de la |2 ram | |
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 7 | |a système commande |2 inriac | |
| 650 | 7 | |a théorie qualitative |2 inriac | |
| 650 | 7 | |a théorie singularité |2 inriac | |
| 650 | 7 | |a équation différentielle ordinaire |2 inriac | |
| 650 | 4 | |a Control theory | |
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Record in the Search Index
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| adam_text | Table of Contents
Introduction 1
Chapter 1. Implicit First Order Differential Equations 5
§1. Simple examples 5
§2. Normal forms 12
§3. On partial differential equations 17
§4. The normal form of slow motions of a relaxation type equation on the
break line 19
§5. On singularities of attainability boundaries of typical differential inequal¬
ities on a surface 21
§6. Proof of Theorems 2.1 and 2.3 24
§7. ProofofTheorems2.5and2.8 26
Chapter 2. Local Controllability of a System 29
§1. Definitions and examples 29
§2. Singularities of a pair of vector fields on a surface 36
§3. Polydynamical systems 43
§4. Classification of singularities 60
§5. The typicality of systems determined by typical sets of vector fields 71
§6. The singular surface of a control system 72
§7. The critical set of a control system 77
§8. Singularities of the defining set and their stability 88
§9. Singularities in the family of limiting lines in the steep domain 92
§10. Transversality of multiple 3 jet extensions 99
Chapter 3. Structural Stability of Control Systems 103
§1. Definitions and theorems 103
§2. Examples 109
§3. A branch of the field of limiting directions 111
§4. The set of singular limiting lines 113
§5. The structure of orbit boundaries 120
§6. Stability 124
§7. Singularities of the boundary of the zone of nonlocal transitivity 130
Chapter 4. Attainability Boundary of a Multidimensional System 135
§ 1. Definitions and theorems 135
vii
viii TABLE OF CONTENTS
§2. Typicality of regular systems 138
§3. The Lipschitz character of the attainability boundary 139
§4. The quasi Holder character of the attainability set 140
References 145
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:43:44Z |
| institution | BVB |
| isbn | 082184590X |
| language | English Russian |
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| physical | VIII, 147 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Davydov, A. A. Verfasser aut Kačestvennaja teorija upravljaemych sistem Qualitative theory of control systems A. A. Davydov Providence, RI American Math. Soc. 1994 VIII, 147 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 141 Aus dem Russ. übers. Commande, Théorie de la Commande, théorie de la ram Controleleer gtt système commande inriac théorie qualitative inriac théorie singularité inriac équation différentielle ordinaire inriac Control theory Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Translations of mathematical monographs 141 (DE-604)BV000002394 141 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006590976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davydov, A. A. Qualitative theory of control systems Translations of mathematical monographs Commande, Théorie de la Commande, théorie de la ram Controleleer gtt système commande inriac théorie qualitative inriac théorie singularité inriac équation différentielle ordinaire inriac Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 |
| title | Qualitative theory of control systems |
| title_alt | Kačestvennaja teorija upravljaemych sistem |
| title_auth | Qualitative theory of control systems |
| title_exact_search | Qualitative theory of control systems |
| title_full | Qualitative theory of control systems A. A. Davydov |
| title_fullStr | Qualitative theory of control systems A. A. Davydov |
| title_full_unstemmed | Qualitative theory of control systems A. A. Davydov |
| title_short | Qualitative theory of control systems |
| title_sort | qualitative theory of control systems |
| topic | Commande, Théorie de la Commande, théorie de la ram Controleleer gtt système commande inriac théorie qualitative inriac théorie singularité inriac équation différentielle ordinaire inriac Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Commande, Théorie de la Commande, théorie de la Controleleer système commande théorie qualitative théorie singularité équation différentielle ordinaire Control theory Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006590976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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