Local stabilizability of nonlinear control systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1992
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
8 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 187 - 198 |
| Beschreibung: | VIII, 202 S. graph. Darst. |
| ISBN: | 9810207131 |
Internformat
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| 300 | |a VIII, 202 S. |b graph. Darst. | ||
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| 650 | 7 | |a Commande automatique |2 ram | |
| 650 | 7 | |a contrôle automatique |2 inriac | |
| 650 | 7 | |a méthode Lyapunov |2 inriac | |
| 650 | 7 | |a stabilité |2 inriac | |
| 650 | 7 | |a système dimensionnel |2 inriac | |
| 650 | 7 | |a système non linéaire |2 inriac | |
| 650 | 4 | |a Automatic control | |
| 650 | 4 | |a Nonlinear systems | |
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Datensatz im Suchindex
| _version_ | 1804119825965907968 |
|---|---|
| adam_text | IMAGE 1
SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES - VOL. 8
LOCAL
STABILKABIUTY OF NONUNEAR CONTROL SYSTEMS
3? . 1* ANDREA BACCIOTTI DIPARTIMENTO DI MATEMATICA POLITECNICO DI
TORINO, ITALIA
U |J WORLD SCIENTIFIC AE SINQAPORE * NEW JERSEY * L SINGAPORE * NEW
JERSEY * LONDON * HONG KONG
IMAGE 2
CONTENTS
PREFACE V
I N T R O D U C T I ON A ND S O ME N O T A T I ON 1
C H A P T ER I: GENERAL FRAMEWORK
1. S T A T E M E NT OF T HE P R O B L E M: I 7
2. MOTIVATIONS A ND EXAMPLES 9
3. S T A T E M E NT OF T HE P R O B L E M: II 12
4. DEFINITIONS 14
5. LINEAR SYSTEMS: I 17
6. T HE LINEARIZATION A P P R O A CH 21
7. O B S T R U C T I O NS TO STABILIZABILITY 31
8. CONTROUABILITY A ND STABILIZABILITY 34
C H A P T ER II: L I A P U N O V S DIRECT M E T H OD
9. A R T S T E I N S T H E O R EM 41
10. T HE J U R D J E V I C - Q U I NN A P P R O A CH 52
1 1. A S Y M P T O T IC CONTROUABILITY 59
12. LINEAR SYSTEMS: II 63
13. H O M O G E N E O US SYSTEMS 69
14. BILINEAR SYSTEMS: C O N S T A NT FEEDBACK STABILIZATION 78
C H A P T ER III: INDIRECT A P P R O A C H ES
15. AN OVERVIEW 83
VII
IMAGE 3
VIIJ NONLINEAR STABILIZABILITY
16. LOCAL APPROXIMATION: I 91
17. LOCAL APPROXIMATION: II . . . .. 95
18. CRITICAL CASES: THE CENTER MANIFOLD APPROACH 101
19. CASCADE SYSTEMS 109
20. EXACT AND PARTIAL LINEARIZATION 118
21. MINIMUM PHASE SYSTEMS 122
22. LOCAL APPROXIMATION: III 125
CHAPTER IV: LOW DIMENSIONAL SYSTEMS
23. THE INTEREST OF LOW DIMENSIONAL CASES 133
24. ONE-DIMENSIONAL SYSTEMS 134
25. TWO-DIMENSIONAL SYSTEMS: I 140
26. TWO-DIMENSIONAL SYSTEMS: II 150
27. THREE-DIMENSIONAL SYSTEMS 156
APPENDIX A - STABILITY THEORY: BASIC NOTIONS 159
APPENDIX B - GRADED VECTOR SPACES 167
APPENDIX C - CENTER MANIFOLD THEORY 175
APPENDIX D - NORMAL FORMS EXPANSIONS 181
REFERENCES 187
INDEX 199
*
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:32:21Z |
| institution | BVB |
| isbn | 9810207131 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003517256 |
| oclc_num | 24468408 |
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| owner_facet | DE-384 DE-91 DE-BY-TUM DE-703 DE-634 DE-11 |
| physical | VIII, 202 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Bacciotti, Andrea 1948- Verfasser (DE-588)122673921 aut Local stabilizability of nonlinear control systems Andrea Bacciotti Singapore u.a. World Scientific 1992 VIII, 202 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences 8 Literaturverz. S. 187 - 198 Commande automatique ram contrôle automatique inriac méthode Lyapunov inriac stabilité inriac système dimensionnel inriac système non linéaire inriac Automatic control Nonlinear systems Stabilität (DE-588)4056693-6 gnd rswk-swf Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd rswk-swf Regelungstechnik (DE-588)4076594-5 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 s Stabilität (DE-588)4056693-6 s DE-604 Regelungstechnik (DE-588)4076594-5 s Nichtlineares System (DE-588)4042110-7 s Series on advances in mathematics for applied sciences 8 (DE-604)BV004569239 8 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003517256&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bacciotti, Andrea 1948- Local stabilizability of nonlinear control systems Series on advances in mathematics for applied sciences Commande automatique ram contrôle automatique inriac méthode Lyapunov inriac stabilité inriac système dimensionnel inriac système non linéaire inriac Automatic control Nonlinear systems Stabilität (DE-588)4056693-6 gnd Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Regelungstechnik (DE-588)4076594-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4229541-5 (DE-588)4076594-5 (DE-588)4042110-7 |
| title | Local stabilizability of nonlinear control systems |
| title_auth | Local stabilizability of nonlinear control systems |
| title_exact_search | Local stabilizability of nonlinear control systems |
| title_full | Local stabilizability of nonlinear control systems Andrea Bacciotti |
| title_fullStr | Local stabilizability of nonlinear control systems Andrea Bacciotti |
| title_full_unstemmed | Local stabilizability of nonlinear control systems Andrea Bacciotti |
| title_short | Local stabilizability of nonlinear control systems |
| title_sort | local stabilizability of nonlinear control systems |
| topic | Commande automatique ram contrôle automatique inriac méthode Lyapunov inriac stabilité inriac système dimensionnel inriac système non linéaire inriac Automatic control Nonlinear systems Stabilität (DE-588)4056693-6 gnd Nichtlineares Differentialgleichungssystem (DE-588)4229541-5 gnd Regelungstechnik (DE-588)4076594-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Commande automatique contrôle automatique méthode Lyapunov stabilité système dimensionnel système non linéaire Automatic control Nonlinear systems Stabilität Nichtlineares Differentialgleichungssystem Regelungstechnik Nichtlineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003517256&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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