Lyapunov spectrum and control sets:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Augsburg
Wißner
2000
|
| Schriftenreihe: | Augsburger mathematisch-naturwissenschaftliche Schriften
34 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 186 S. graph. Darst. |
| ISBN: | 3896392212 |
Internformat
MARC
| LEADER | 00000nam a22000008cb4500 | ||
|---|---|---|---|
| 001 | BV013109587 | ||
| 003 | DE-604 | ||
| 005 | 20020125 | ||
| 007 | t | ||
| 008 | 000404s2000 gw d||| m||| 00||| eng d | ||
| 016 | 7 | |a 958697493 |2 DE-101 | |
| 020 | |a 3896392212 |9 3-89639-221-2 | ||
| 035 | |a (OCoLC)45796984 | ||
| 035 | |a (DE-599)BVBBV013109587 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 |a DE-12 |a DE-37 |a DE-91 |a DE-29T |a DE-188 | ||
| 050 | 0 | |a QA402.35 | |
| 084 | |a SK 880 |0 (DE-625)143266: |2 rvk | ||
| 084 | |a MAT 344d |2 stub | ||
| 084 | |a MAT 496d |2 stub | ||
| 100 | 1 | |a Grünvogel, Stefan Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lyapunov spectrum and control sets |c Stefan Michael Grünvogel |
| 264 | 1 | |a Augsburg |b Wißner |c 2000 | |
| 300 | |a 186 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Augsburger mathematisch-naturwissenschaftliche Schriften |v 34 | |
| 502 | |a Zugl.: Augsburg, Univ., Diss., 2000 | ||
| 650 | 4 | |a Lyapunov exponents | |
| 650 | 4 | |a Lyapunov stability | |
| 650 | 4 | |a Nonlinear control theory | |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Steuerbarkeit |0 (DE-588)4134713-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ljapunov-Exponent |0 (DE-588)4123668-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Ljapunov-Exponent |0 (DE-588)4123668-3 |D s |
| 689 | 0 | 1 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 1 | 1 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 1 | 2 | |a Steuerbarkeit |0 (DE-588)4134713-4 |D s |
| 689 | 1 | 3 | |a Ljapunov-Exponent |0 (DE-588)4123668-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Augsburger mathematisch-naturwissenschaftliche Schriften |v 34 |w (DE-604)BV009824413 |9 34 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008931640&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805068438054371328 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
3
1
LINEAR
AND
NONLINEAR
CONTROL
SYSTEMS
7
1.1
NONLINEAR
CONTROL
AFFINE
SYSTEMS
.
8
1.1.1
CONTROL
SETS
AND
CHAIN
CONTROL
SETS
.
8
1.1.2
CONTROL
FLOW
AND
LIMIT
SETS
.
11
1.2
BILINEAR
CONTROL
SYSTEMS
.
15
1.2.1
MAIN
CONTROL
SETS
AND
SYSTEMS
GROUP
.
15
1.2.2
FLOQUET,
LYAPUNOV
AND
MORSE
SPECTRUM
.
21
2
THE
NONEXISTENCE
OF
CONTROL
SETS
29
2.1
STABLE
AND
UNSTABLE
SYSTEMS
.
30
2.2
HYPERBOLIC
SYSTEMS
.
35
3
THE
EXISTENCE
OF
CONTROL
SETS
47
3.1
BASIC
IDEA
.
48
3.2
THE
HYPERBOLIC
SYSTEM
.
51
3.3
STEERING
TO
THE
TARGET
.
60
3.4
ADJUSTING
THE
NEIGHBORHOODS
.
63
3.5
THE
CONSTRUCTION
OF
THE
CONTROL
FUNCTION
.
64
3.6
THE
LIMIT
SET
.
70
3.7
THE
EXISTENCE
THEOREM
.
71
4
THE
ONEDIMENSIONAL
CASE
75
4.1
THE
BASIC
CONSTRUCTION
IDEA
.
76
4.1.1
PRELIMINARIES
.
76
4.1.2
THE
CONSTRUCTION
OF
THE
CONTROL
FUNCTION
.
81
4.1.3
THE
LIMIT
SET
.
87
4.1.4
THE
EXISTENCE
THEOREM
.
94
4.2
TWO
HYPERBOLIC
SYSTEMS
.
100
4.2.1
LOCAL
CLASSIFICATION
.
102
4.3
CONTROL
SETS
AND
LINEARIZATION
.
114
4.3.1
PRELIMINARIES
.
115
4.3.2
THE
LINEARIZATION
THEOREM
.
120
2
CONTENTS
5
EXAMPLES
127
5.1
THE
DUFFING-VAN
DER
POL
OSCILLATOR
.
127
5.2
THE
LORENZ
EQUATION
.
138
6
INVARIANT
FIBRE
BUNDLES
145
6.1
GLOBAL
THEORY
.
146
6.1.1
LINEAR
THEORY
.
146
6.1.2
INVARIANT
FIBRE
BUNDLES
.
150
6.1.3
ASYMPTOTIC
PHASES
.
161
6.1.4
THE
HARTMAN-GROBMAN
THEOREM
.
163
6.2
LOCAL
THEORY
FOR
PERIODIC
SYSTEMS
.
164
6.2.1
THE
LINEARIZED
SYSTEM
AND
FLOQUET
THEORY
.
165
6.2.2
THE
TRANSFORMED
SYSTEM
.
167
6.2.3
THE
REDUCED
STANDARD
SYSTEM
.
168
6.2.4
LOCAL
INVARIANT
FIBRE
BUNDLES
.
170
BIBLIOGRAPHY
176
NOTATIONS
181
INDEX
185 |
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| author | Grünvogel, Stefan Michael |
| author_facet | Grünvogel, Stefan Michael |
| author_role | aut |
| author_sort | Grünvogel, Stefan Michael |
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| classification_rvk | SK 880 |
| classification_tum | MAT 344d MAT 496d |
| ctrlnum | (OCoLC)45796984 (DE-599)BVBBV013109587 |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV013109587 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:50:07Z |
| institution | BVB |
| isbn | 3896392212 |
| language | English |
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| physical | 186 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| series | Augsburger mathematisch-naturwissenschaftliche Schriften |
| series2 | Augsburger mathematisch-naturwissenschaftliche Schriften |
| spelling | Grünvogel, Stefan Michael Verfasser aut Lyapunov spectrum and control sets Stefan Michael Grünvogel Augsburg Wißner 2000 186 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger mathematisch-naturwissenschaftliche Schriften 34 Zugl.: Augsburg, Univ., Diss., 2000 Lyapunov exponents Lyapunov stability Nonlinear control theory Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Steuerbarkeit (DE-588)4134713-4 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Ljapunov-Exponent (DE-588)4123668-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Ljapunov-Exponent (DE-588)4123668-3 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Steuerbarkeit (DE-588)4134713-4 s Augsburger mathematisch-naturwissenschaftliche Schriften 34 (DE-604)BV009824413 34 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008931640&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grünvogel, Stefan Michael Lyapunov spectrum and control sets Augsburger mathematisch-naturwissenschaftliche Schriften Lyapunov exponents Lyapunov stability Nonlinear control theory Kontrolltheorie (DE-588)4032317-1 gnd Steuerbarkeit (DE-588)4134713-4 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Ljapunov-Exponent (DE-588)4123668-3 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4134713-4 (DE-588)4020929-5 (DE-588)4123668-3 (DE-588)4113937-9 |
| title | Lyapunov spectrum and control sets |
| title_auth | Lyapunov spectrum and control sets |
| title_exact_search | Lyapunov spectrum and control sets |
| title_full | Lyapunov spectrum and control sets Stefan Michael Grünvogel |
| title_fullStr | Lyapunov spectrum and control sets Stefan Michael Grünvogel |
| title_full_unstemmed | Lyapunov spectrum and control sets Stefan Michael Grünvogel |
| title_short | Lyapunov spectrum and control sets |
| title_sort | lyapunov spectrum and control sets |
| topic | Lyapunov exponents Lyapunov stability Nonlinear control theory Kontrolltheorie (DE-588)4032317-1 gnd Steuerbarkeit (DE-588)4134713-4 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Ljapunov-Exponent (DE-588)4123668-3 gnd |
| topic_facet | Lyapunov exponents Lyapunov stability Nonlinear control theory Kontrolltheorie Steuerbarkeit Gewöhnliche Differentialgleichung Ljapunov-Exponent Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008931640&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009824413 |
| work_keys_str_mv | AT grunvogelstefanmichael lyapunovspectrumandcontrolsets |