Stabilization problems with constraints: analysis and computational aspects
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Gordon and Breach
1997
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 298 S. |
| ISBN: | 9056991418 |
Internformat
MARC
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| 100 | 1 | |a Bušenkov, Vladimir A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stabilization problems with constraints |b analysis and computational aspects |c Vladimir A. Bushenkov ; Georgi V. Smirnov |
| 264 | 1 | |a Amsterdam |b Gordon and Breach |c 1997 | |
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| 650 | 4 | |a Nebenbedingung | |
| 650 | 4 | |a Stabilität | |
| 700 | 1 | |a Smirnov, Georgij V. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804127541780283393 |
|---|---|
| adam_text | IMAGE 1
STABILIZATION PROBLEMS WITH
CONSTRAINTS:
ANALYSIS AND COMPUTATIONAL ASPECTS
VLADIMIR A. BUSHENKOV AND GEORGI V. SMIRNOV
GORDON AND BREACH SCIENCE PUBLISHERS AUSTRALIA * CANADA * CHINA * FRANCE
* GERMANY * INDIA * JAPAN LUXEMBOURG * MALAYSIA * THE NETHERLANDS *
RUSSIA * SINGAPORE * SWITZERLAND THAILAND * UNITED KINGDOM
IMAGE 2
CONTENTS
PREFACE 5
INTRODUCTION 7
I POUNDATIONS 13
1 CONVEX ANALYSIS 15
1.1 CONVEX SETS 15
1.2 CONVEX FUNCTIONS 25
1.3 DIFFERENTIAL PROPERTIES OF CONVEX FUNCTIONS 35
1.4 SET-VALUED MAPS 42
1.5 CONVEX PIOGIAMXNING 51
2 DIFFERENTIAL EQUATIONS AND CONTROL SYSTEMS 57
2.1 BACKGIOUND NOTES 57
2.2 DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE 59
2.3 STABILITY 63
2.4 LYAPUNOV FUNCTIONS FOR LINEAR SYSTEMS 68
2.5 STABILITY AT FIRST APPROXIMATION 71
2.6 LYAPUNOV S DIRECT METHOD FOR DISCRETE SYSTEMS 74
2.7 CONTROL SYSTEMS 78
3 COMPUTATIONAL METHODS OF CONVEX ANALYSIS 91
3.1 POLYHEDRAL SETS 91
3.2 POLYHEDRAL SETS: COMPUTATIONAL ASPECTS 101
3.3 NUMERICAL METHODS OF CONVEX PROGRAMMING 106
II LOCAL STABILIZATION PROBLEMS 117
4 STABUEIZATION PROBLEM 119
4.1 STATEMENT OF THE PROBLEM 119
1
IMAGE 3
2 CONTENTS
4.2 THE FIRST APPROXIMATION 124
4.3 STABILIZATION OF NONLINEAR SYSTEMS 132
4.4 WEAK ASYMPTOTIC STABILITY AND STABILIZABILITY 140
4.5 NUMERICAL ALGORITHMS 143
4.6 EXAMPLES 147
5 CONTROLLABLE LINEAR SYSTEMS 157
5.1 CONTROLLABILITY OF LINEAR SYSTEMS 157
5.2 REGULATOR DESIGN UNDER CONTROLLABILITY CONDITION 162
5.3 SINGLE-INPUT CONTROL SYSTEMS 166
5.4 THE PEAK EFFECT 169
5.5 OPTIMALITY OF TIANSIENT CHAIACTERISTICS 174
6 STABILIZATION OF UNCERTAIN SYSTEMS 181
6.1 STABILIZATION PROBLEMS FOR UNCERTAIN SYSTEMS 181
6.2 NUMERICAL EXPERIMENTS 185
7 UNILATERAL STABILIZATION 191
7.1 STATEMENT OF THE PROBLEM 191
7.2 THE CASE OF LINEAR CONTROL SYSTEM 194
7.3 UNILATERAL STABILIZATION FOR A NONLINEAR SYSTEM 201
7.4 STABILIZATION WITH STATE CONSTRAINTS 207
7.5 COMPUTATIONAL ALGORITHMS AND EXAMPLES 210
III NONLOCAL STABILIZATION PROBLEMS 217
8 STABILIZATION TO S E TS 219
8.1 STABILIZATION OF A LINEAR SYSTEM TO A CONVEX CONE 219
8.2 STABILIZATION TO A SURFACE 226
8.3 DISCRETE-TIME STABILIZATION PROBLEM 233
8.4 STABILIZATION OF PERIODIC SYSTEMS 238
8.5 COMPUTATIONAL ALGORITHMS AND EXAMPLES 248
9 GLOBAL STABILIZATION PROBLEM 257
9.1 GUIDANCE CONTROL 257
9.2 THE GUIDE DESIGN PROBLEM 259
9.3 GLOBAL GUIDANCE STABILIZERS FOI LINEAR SYSTEMS 263
9.4 GLOBAL STABILIZERS FOR LINEAR SYSTEMS 265
9.5 GUIDANCE STABILIZATION OF NONLINEAR SYSTEMS, I 268
9.6 GUIDANCE STABILIZATION OF NONLINEAR SYSTEMS, II 271
9.7 APPLICATION TO DIFFERENTIAL GAMES 278
9.8 NUMERICAL EXPERIMENTS 279
IMAGE 4
CONTENTS
3
COMMENTS 287
BIBLIOGRAPHY 291
INDEX 297
|
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| indexdate | 2024-07-09T18:34:59Z |
| institution | BVB |
| isbn | 9056991418 |
| language | English |
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| spelling | Bušenkov, Vladimir A. Verfasser aut Stabilization problems with constraints analysis and computational aspects Vladimir A. Bushenkov ; Georgi V. Smirnov Amsterdam Gordon and Breach 1997 298 S. txt rdacontent n rdamedia nc rdacarrier Nebenbedingung Stabilität Smirnov, Georgij V. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008751507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bušenkov, Vladimir A. Smirnov, Georgij V. Stabilization problems with constraints analysis and computational aspects Nebenbedingung Stabilität |
| title | Stabilization problems with constraints analysis and computational aspects |
| title_auth | Stabilization problems with constraints analysis and computational aspects |
| title_exact_search | Stabilization problems with constraints analysis and computational aspects |
| title_full | Stabilization problems with constraints analysis and computational aspects Vladimir A. Bushenkov ; Georgi V. Smirnov |
| title_fullStr | Stabilization problems with constraints analysis and computational aspects Vladimir A. Bushenkov ; Georgi V. Smirnov |
| title_full_unstemmed | Stabilization problems with constraints analysis and computational aspects Vladimir A. Bushenkov ; Georgi V. Smirnov |
| title_short | Stabilization problems with constraints |
| title_sort | stabilization problems with constraints analysis and computational aspects |
| title_sub | analysis and computational aspects |
| topic | Nebenbedingung Stabilität |
| topic_facet | Nebenbedingung Stabilität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008751507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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