Reachable sets, control sets and their computation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Augsburg
Wissner
1996
|
| Schriftenreihe: | Augsburger mathematisch-naturwissenschaftliche Schriften
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 117 S. Ill., graph. Darst. |
| ISBN: | 3896390198 |
Internformat
MARC
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| 001 | BV010733613 | ||
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| 008 | 960422s1996 gw ad|| m||| 00||| ger d | ||
| 016 | 7 | |a 947299068 |2 DE-101 | |
| 020 | |a 3896390198 |c Pb. : DM 34.80 |9 3-89639-019-8 | ||
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| 100 | 1 | |a Häckl, Gerhard |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Reachable sets, control sets and their computation |c Gerhard Häckl |
| 264 | 1 | |a Augsburg |b Wissner |c 1996 | |
| 300 | |a 117 S. |b Ill., 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 7 | |
| 502 | |a Zugl.: Augsburg, Univ., Diss., 1995 | ||
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Set theory | |
| 650 | 0 | 7 | |a Erreichbarkeitsmenge |0 (DE-588)4411406-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Erreichbarkeitsmenge |0 (DE-588)4411406-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Augsburger mathematisch-naturwissenschaftliche Schriften |v 7 |w (DE-604)BV009824413 |9 7 | |
| 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=007166489&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007166489 | |
Datensatz im Suchindex
| _version_ | 1807683884882591744 |
|---|---|
| adam_text |
CONTENTS
NOTATIONS
'
3
INTRODUCTION
4
1
GLOBAL
ANALYSIS
OF
CONTROL
SYSTEMS
7
1.1
CONTROL
AFFINE
SYSTEMS
.
7
1.2
CONTROL
SETS
AND
THEIR
DOMAIN
OF
ATTRACTION
.
11
1.3
CHAINS
AND
CHAIN
REACHABLE
SETS
.
19
1.4
LIMIT
SETS
AND
CONTROL
SETS
.
25
1.5
STOCHASTIC
SYSTEMS
.
27
2
APPROXIMATION
OF
REACHABLE
SETS
31
2.1
SET
METRICS
.
31
2.1.1
HAUSDORFF
METRIC
.
31
2.1.2
TOTED
VARIATION
METRIC
.
32
2.2
REACHABILITY
AND
INVARIANCE
.
33
2.3
DISCRETE
TIME
SYSTEMS
.
35
2.4
APPROXIMATION
BY
DISCRETE
TIME
SYSTEMS
.
38
2.5
ERROR
OF
THE
ODE-SOLVER
.
45
3
COMPUTATION
OF
E-INVARIANT
SETS
50
3.1
SPATIAL
DISCRETIZATION
.
51
3.2
CONSTRUCTION
OF
THE
APPROXIMATING
SET
.
54
3.2.1
INITIAL
SETS
.
55
3.2.2
POINT
COMPUTATION
.
55
3.2.3
ITERATION
.
55
3.2.4
EXTENDED
ITERATION
.
62
3.3
E-INVARIANCE
OF
THE
APPROXIMATING
SET
.
64
3.4
RELATION
BETWEEN
DCH(M)
AND
R
+
(
XQ
)
.
69
3.5
WITHOUT
OUTER
BALL
CONDITION
.
71
3.6
SUCCESSIVE
GRID
REFINEMENT
.
73
3.7
CONVERGENCE
OF
THE
DISCRETE
CONVEX
HULL
.
74
2
CONTENTS
4
IMPLEMENTATION
OF
THE
ALGORITHM
75
4.1
SPATIAL
DISCRETIZATION
.
76
4.2
CONVEX
HULL
.
76
4.2.1
TWO-DIMENSIONAL
CASE
.
77
4.2.2
D-DIMENSIONAL
CASE
.
80
4.3
DISTANCE
TO
THE
DISCRETE
CONVEX
HULL
.
81
4.3.1
COMPUTATION
USING
THE
CONVEX
HULL
.
81
4.3.2
COMPUTATION
USING
QUADRATIC
PROGRAMMING
.
83
4.4
POINT
COMPUTATION
.
84
4.5
ORBIT
COMPUTATION
.
87
5
NUMERICAL
EXAMPLES
89
5.1
TWO-DIMENSIONAL
LINEAR
SYSTEM
.
90
5.2
BACTERIAL
RESPIRATION
MODEL
.
90
5.3
TAKENS-BOGDANOV
OSCILLATOR
.
92
5.4
THREE-DIMENSIONAL
LINEAR
SYSTEM
.
100
5.5
NONLINEAR
HYPERBOLIC
PERIODIC
ORBIT
.
100
5.6
CONTINUOUS
STIRRED
TANK
REACTOR
(CSTR)
.
101
5.7
LORENZ
EQUATION
.
105
5.8
CHUA
'
S
CIRCUIT
.
109
BIBLIOGRAPHY
112
INDEX
117 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010733613 |
| illustrated | Illustrated |
| indexdate | 2024-08-18T00:41:31Z |
| institution | BVB |
| isbn | 3896390198 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007166489 |
| oclc_num | 40288915 |
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| owner_facet | DE-384 DE-12 DE-37 DE-91 DE-BY-TUM DE-703 DE-706 DE-634 |
| physical | 117 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Wissner |
| record_format | marc |
| series | Augsburger mathematisch-naturwissenschaftliche Schriften |
| series2 | Augsburger mathematisch-naturwissenschaftliche Schriften |
| spelling | Häckl, Gerhard Verfasser aut Reachable sets, control sets and their computation Gerhard Häckl Augsburg Wissner 1996 117 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger mathematisch-naturwissenschaftliche Schriften 7 Zugl.: Augsburg, Univ., Diss., 1995 Control theory Set theory Erreichbarkeitsmenge (DE-588)4411406-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Erreichbarkeitsmenge (DE-588)4411406-0 s DE-604 Augsburger mathematisch-naturwissenschaftliche Schriften 7 (DE-604)BV009824413 7 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007166489&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Häckl, Gerhard Reachable sets, control sets and their computation Augsburger mathematisch-naturwissenschaftliche Schriften Control theory Set theory Erreichbarkeitsmenge (DE-588)4411406-0 gnd |
| subject_GND | (DE-588)4411406-0 (DE-588)4113937-9 |
| title | Reachable sets, control sets and their computation |
| title_auth | Reachable sets, control sets and their computation |
| title_exact_search | Reachable sets, control sets and their computation |
| title_full | Reachable sets, control sets and their computation Gerhard Häckl |
| title_fullStr | Reachable sets, control sets and their computation Gerhard Häckl |
| title_full_unstemmed | Reachable sets, control sets and their computation Gerhard Häckl |
| title_short | Reachable sets, control sets and their computation |
| title_sort | reachable sets control sets and their computation |
| topic | Control theory Set theory Erreichbarkeitsmenge (DE-588)4411406-0 gnd |
| topic_facet | Control theory Set theory Erreichbarkeitsmenge Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007166489&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009824413 |
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