An introduction to hybrid dynamical systems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
London ; Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong
Springer
2000
|
| Schriftenreihe: | Lecture notes in control and information sciences
251 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 174 S. graph. Darst. |
| ISBN: | 1852332336 |
Internformat
MARC
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| 100 | 1 | |a Schaft, Abraham Jan van der |d 1955- |e Verfasser |0 (DE-588)108918560X |4 aut | |
| 245 | 1 | 0 | |a An introduction to hybrid dynamical systems |c Arjan van der Schaft and Hans Schumacher |
| 264 | 1 | |a London ; Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong |b Springer |c 2000 | |
| 300 | |a XI, 174 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 251 | |
| 650 | 4 | |a Hybrides System - Dynamisches System | |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Systementwicklung |0 (DE-588)4126945-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Systemtechnik |0 (DE-588)4140901-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hybrides System |0 (DE-588)4510314-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Systemtechnik |0 (DE-588)4140901-2 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008693870 | |
Datensatz im Suchindex
| _version_ | 1807504743436648448 |
|---|---|
| adam_text |
CONTENTS
LIST
OF
FIGURES
.
XIII
1
MODELING
OF
HYBRID
SYSTEMS
.
1
1.1
INTRODUCTION
.
1
1.2
TOWARDS
A
DEFINITION
OF
HYBRID
SYSTEMS
.
3
1.2.1
CONTINUOUS
AND
SYMBOLIC
DYNAMICS
.
3
1.2.2
HYBRID
AUTOMATON
.
6
1.2.3
FEATURES
OF
HYBRID
DYNAMICS
.
9
1.2.4
GENERALIZED
HYBRID
AUTOMATON
.
12
1.2.5
HYBRID
TIME
EVOLUTIONS
AND
HYBRID
BEHAVIOR
.
14
1.2.6
EVENT-FLOW
FORMULAS
.
18
1.2.7
SIMULATION
OF
HYBRID
SYSTEMS
.
24
1.2.8
REPRESENTATIONS
OF
HYBRID
SYSTEMS
.
30
1.3
NOTES
AND
REFERENCES
FOR
CHAPTER
1
.
34
2
EXAMPLES
OF
HYBRID
DYNAMICAL
SYSTEMS
.
35
2.1
INTRODUCTION
.
35
2.2
EXAMPLES
.
35
2.2.1
HYSTERESIS
.
35
2.2.2
MANUAL
TRANSMISSION
.
37
2.2.3
BOUNCING
BALL
.
37
2.2.4
TEMPERATURE
CONTROL
SYSTEM
.
38
2.2.5
WATER-LEVEL
MONITOR
.
40
2.2.6
MULTIPLE
COLLISIONS
.
42
2.2.7
VARIABLE-STRUCTURE
SYSTEM
.
44
2.2.8
SUPERVISOR
MODEL
.
46
2.2.9
TWO
CARTS
.
47
2.2.10
COULOMB
FRICTION
.
49
2.2.11
SYSTEMS
WITH
PIECEWISE
LINEAR
ELEMENTS
.
50
2.2.12
RAILROAD
CROSSING
.
51
2.2.13
POWER
CONVERTER
.
52
2.2.14
CONSTRAINED
PENDULUM
.
54
2.2.15
DEGENERATE
VAN
DER
POL
OSCILLATOR
.
55
2.3
NOTES
AND
REFERENCES
FOR
CHAPTER
2
.
56
X
CONTENTS
3
VARIABLE-STRUCTURE
SYSTEMS
.
57
3.1
DISCONTINUOUS
DYNAMICAL
SYSTEMS
.
57
3.2
SOLUTION
CONCEPTS
.
59
3.3
REFORMULATIONS
.
62
3.4
SYSTEMS
WITH
MANY
REGIMES
.
63
3.5
THE
VIDALE-WOLFE
ADVERTIZING
MODEL
.
65
3.6
NOTES
AND
REFERENCES
FOR
CHAPTER
3
.
67
4
COMPLEMENTARITY
SYSTEMS
.
71
4.1
EXAMPLES
.
73
4.1.1
CIRCUITS
WITH
IDEAL
DIODES
.
73
4.1.2
MECHANICAL
SYSTEMS
WITH
UNILATERAL
CONSTRAINTS
.
74
4.1.3
OPTIMAL
CONTROL
WITH
STATE
CONSTRAINTS
.
75
4.1.4
VARIABLE-STRUCTURE
SYSTEMS
.
77
4.1.5
A
CLASS
OF
PIECEWISE
LINEAR
SYSTEMS
.
79
4.1.6
PROJECTED
DYNAMICAL
SYSTEMS
.
81
4.1.7
DIFFUSION
WITH
A
FREE
BOUNDARY
.
84
4.1.8
MAX-PLUS
SYSTEMS
.
89
4.2
EXISTENCE
AND
UNIQUENESS
OF
SOLUTIONS
.
90
4.3
THE
MODE
SELECTION
PROBLEM
.
91
4.4
LINEAR
COMPLEMENTARITY
SYSTEMS
.
96
4.4.1
SPECIFICATION
.
96
4.4.2
A
DISTRIBUTIONAL
INTERPRETATION
.
100
4.4.3
WELL-POSEDNESS
.
102
4.5
MECHANICAL
COMPLEMENTARITY
SYSTEMS
.
104
4.6
RELAY
SYSTEMS
.
109
4.7
NOTES
AND
REFERENCES
FOR
CHAPTER
4
.
.
.
110
5
ANALYSIS
OF
HYBRID
SYSTEMS
.
ILL
5.1
CORRECTNESS
AND
REACHABILITY
.
ILL
5.1.1
FORMAL
VERIFICATION
.
ILL
5.1.2
AN
AUDIO
PROTOCOL
.
113
5.1.3
ALGORITHMS
FOR
VERIFICATION
.
117
5.2
STABILITY
.
118
5.2.1
LYAPUNOV
FUNCTIONS
AND
POINCAR6
MAPPINGS
.
118
5.2.2
TIME-CONTROLLED
SWITCHING
.
122
5.2.3
STATE-CONTROLLED
SWITCHING
.
124
5.3
CHAOTIC
PHENOMENA
.
129
5.4
NOTES
AND
REFERENCES
FOR
CHAPTER
5
.
132
6
HYBRID
CONTROL
DESIGN
.
133
6.1
SAFETY
AND
GUARANTEE
PROPERTIES
.
134
6.1.1
SAFETY
AND
CONTROLLED
INVARIANCE
.
135
6.1.2
SAFETY
AND
DYNAMIC
GAME
THEORY
.
138
6.2
SWITCHING
CONTROL
.
140
6.2.1
SWITCHING
LOGIC
.
140
CONTENTS
XI
6.2.2
PWM
CONTROL
.
143
6.2.3
SLIDING
MODE
CONTROL
.
144
6.2.4
QUADRATIC
STABILIZATION
BY
SWITCHING
CONTROL
.
146
6.3
HYBRID
FEEDBACK
STABILIZATION
.
147
6.3.1
ENERGY
DECREASE
BY
HYBRID
FEEDBACK
.
148
6.3.2
STABILIZATION
OF
NONHOLONOMIC
SYSTEMS
.
151
6.3.3
SET-POINT
REGULATION
OF
MECHANICAL
SYSTEMS
BY
ENERGY
INJECTION
.
156
6.4
NOTES
AND
REFERENCES
FOR
CHAPTER
6
.
158
BIBLIOGRAPHY
.
159
INDEX
.
171 |
| any_adam_object | 1 |
| author | Schaft, Abraham Jan van der 1955- Schumacher, Johannes |
| author_GND | (DE-588)108918560X |
| author_facet | Schaft, Abraham Jan van der 1955- Schumacher, Johannes |
| author_role | aut aut |
| author_sort | Schaft, Abraham Jan van der 1955- |
| author_variant | a j v d s ajvd ajvds j s js |
| building | Verbundindex |
| bvnumber | BV012782661 |
| callnumber-first | T - Technology |
| callnumber-label | TJ213 |
| callnumber-raw | TJ213 |
| callnumber-search | TJ213 |
| callnumber-sort | TJ 3213 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
| classification_rvk | SI 845 |
| classification_tum | MAT 344f |
| ctrlnum | (OCoLC)247855871 (DE-599)BVBBV012782661 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV012782661 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:14:10Z |
| institution | BVB |
| isbn | 1852332336 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008693870 |
| oclc_num | 247855871 |
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| physical | XI, 174 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Schaft, Abraham Jan van der 1955- Verfasser (DE-588)108918560X aut An introduction to hybrid dynamical systems Arjan van der Schaft and Hans Schumacher London ; Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong Springer 2000 XI, 174 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 251 Hybrides System - Dynamisches System Dynamisches System (DE-588)4013396-5 gnd rswk-swf Systementwicklung (DE-588)4126945-7 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Systemtechnik (DE-588)4140901-2 gnd rswk-swf Hybrides System (DE-588)4510314-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Systemtechnik (DE-588)4140901-2 s Systementwicklung (DE-588)4126945-7 s Hybrides System (DE-588)4510314-8 s Dynamisches System (DE-588)4013396-5 s Schumacher, Johannes Verfasser aut Lecture notes in control and information sciences 251 (DE-604)BV005848579 251 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008693870&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schaft, Abraham Jan van der 1955- Schumacher, Johannes An introduction to hybrid dynamical systems Lecture notes in control and information sciences Hybrides System - Dynamisches System Dynamisches System (DE-588)4013396-5 gnd Systementwicklung (DE-588)4126945-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd Systemtechnik (DE-588)4140901-2 gnd Hybrides System (DE-588)4510314-8 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4126945-7 (DE-588)4032317-1 (DE-588)4140901-2 (DE-588)4510314-8 |
| title | An introduction to hybrid dynamical systems |
| title_auth | An introduction to hybrid dynamical systems |
| title_exact_search | An introduction to hybrid dynamical systems |
| title_full | An introduction to hybrid dynamical systems Arjan van der Schaft and Hans Schumacher |
| title_fullStr | An introduction to hybrid dynamical systems Arjan van der Schaft and Hans Schumacher |
| title_full_unstemmed | An introduction to hybrid dynamical systems Arjan van der Schaft and Hans Schumacher |
| title_short | An introduction to hybrid dynamical systems |
| title_sort | an introduction to hybrid dynamical systems |
| topic | Hybrides System - Dynamisches System Dynamisches System (DE-588)4013396-5 gnd Systementwicklung (DE-588)4126945-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd Systemtechnik (DE-588)4140901-2 gnd Hybrides System (DE-588)4510314-8 gnd |
| topic_facet | Hybrides System - Dynamisches System Dynamisches System Systementwicklung Kontrolltheorie Systemtechnik Hybrides System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008693870&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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