Stability and stabilization of infinite dimensional systems with applications:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
London [u.a.]
Springer
1999
|
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 403 S. |
| ISBN: | 1852331240 |
Staff View
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Record in the Search Index
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| adam_text | IMAGE 1
ZHENG-HUA LUO, BAO-ZHU GUO
AND OMER MORGUL
STABILITY AND STABILIZATION
OF INFINITE DIMENSIONAL SYSTEMS WITH APPLICATIONS
IPL SPRINGER
IMAGE 2
CONTENTS
N O T A T I ON A ND S Y M B O LS XIII
1 I N T R O D U C T I ON 1
1.1 OVERVIEW AND EXAMPLES OF INFINITE DIMENSIONAL SYSTEMS . . .. 1
1.2 ORGANIZATION AND BRIEF SUMMARY 7
1.3 REMARKS ON NOTATION 14
1.4 NOTES AND REFERENCES 14
2 S E M I G R O U PS OF LINEAR O P E R A T O RS 15
2.1 MOTIVATION AND DEFINITIONS 15
2.2 PROPERTIES OF SEMIGROUPS 19
2.3 GENERATION THEOREMS FOR SEMIGROUPS 26
2.4 RELATION WITH THE LAPLACE TRANSFONN 42
2.5 DIFFERENTIABILITY AND ANALYTIC SEMIGROUPS 47
2.6 COMPACT SEMIGROUPS 56
2.7 ABSTRACT CAUCHY PROBLEM 61
2.7.1 HOMOGENEOUS INITIAL VALUE PROBLEMS 61
2.7.2 INHOMOGENEOUS INITIAL VALUE PROBLEMS 66
2.7.3 LIPSCHITZ PERTURBATIONS 68
2.8 INTEGRATED SEMIGROUPS 71
2.9 NONLINEAR SEINIGROUPS OF CONTRACTIONS 92
2.10 NOTES AND REFERENCES 107
3 S T A B I L I TY OF C 0 - S E M I G R O U PS 109
3.1 SPECTRAL MAPPING THEOREMS 112
3.2 SPECTRUM-DETERMINED GROWTH CONDITION 114
3.3 WEAK STABILITY AND ASYMPTOTIC STABILITY 122
3.4 EXPONENTIAL STABILITY - TIME DOMAIN CNTERIA 133
3.5 EXPONENTIAL STABILITY - FREQNENCY DOMAIN CRITERIA 135
3.6 ESSENTIAL SPECTRUM AND COMPACT PERTURBATIONS 145
3.7 INVARIANCE PRINCIPLE FOR NONLINEAR SEMIGROUPS 157
3.8 NOTES AND REFERENCES 164
IMAGE 3
X
C O N T E N TS
4 S T A T IC S E N S OR F E E D B A CK S T A B I L I Z A T I ON OF E U L
E R - B E R N O U L LI B E AM E Q U A T I O NS 165
4.1 MODELING OF A ROTATING BEAM WITH A RIGID TIP BODY 167
4.2 STABILIZATION USING STRAIN OR SHEAR FORCE FEEDBACK 179
4.3 DAMPED SECOND ORDER SYSTEMS 186
4.4 EXPONENTIAL STABILITY AND SPECTRAL ANALYSIS 198
4.4.1 EXPONENTIAL STABILITY 199
4.4.2 SPECTRAL ANALYSIS 206
4.5 SHEAR FORCE FEEDBACK CONTROL OF A ROTATING BEAM 216
4.5.1 WELL-POSEDNESS AND EXPONENTIAL STABILITY 217
4.5.2 ASYMPTOTIC BEHAVIOR OF THE SPECTRUM 231
4.6 STABILITY ANALYSIS OF A HYBRID SYSTEM 235
4.6.1 WELL-POSEDNESS AND EXPONENTIAL STABILITY 235
4.6.2 SPECTRAL ANALYSIS 241
4.7 GAIN ADAPTIVE STRAIN FEEDBACK CONTROL OF EULER-BERNOULLI BEAMS 247
4.8 NOTES AND REFERENC.ES 256
5 D Y N A M IC B O U N D A RY C O N T R OL OF V I B R A T I ON S Y S T E
MS B A S ED ON
P A S S I V I TY 2 59
5.1 A GENERAL FRAMEWORK FOR SYSTEM PASSIVITY 260
5.1.1 UNCONTROLLED CASE 262
5.1.2 CONTROLLED CASE 262
5.2 DYNAMIC BOUNDARY CONTROL USING POSITIVE REAL CONTROLLERS . . . 276
5.2.1 POSITIVE REAL CONTROLLERS AND THEIR CHARACTERIZATIONS . . 277
5.2.2 STABILITY ANALYSIS OF CONTROL SYSTEMS WITH S PR CONTROLLERS279 5.3
DYNAMIC BOUNDARY CONTROL OF A ROTATING FLEXIBLE BEAM 290
5.3.1 STABILIZATION PROBLEM USING S PR CONTROLLERS 292
5.3.2 ORIENTATION PROBLEM USING POSITIVE REAL CONTROLLERS . . . 297 5.4
STABILITY ROBUSTNESS AGAINST SMALL TIME DELAYS 301
5.5 NOTES AND REFERENCES 307
6 O T H ER A P P L I C A T I O NS 3 09
6.1 A GENERAL LINEAR HYPERBOLIC SYSTEM 310
6.2 STABILIZATION OF SERIALLY CONNECTED VIBRATING STRINGS 333
6.3 TWO COUPLED VIBRATING STRINGS 341
6.4 A VIBRATION CABLE WITH A TIP MASS 347
6.5 THERMOELASTIC SYSTEM WITH DIRICHLET - DIRICHLET BOUNDARY
CONDITIONS 355
6.6 THERMOELASTIC SYSTEM WITH DIRICHLET - N E U M A NN BOUNDARY CON
DITIONS 374
6.7 RENARDY S COUNTER-EXAMPLE ON SPECTRUM-DETERMINED GROWTH CONDITION
380
6.8 NOTES AND REFERENCES 386
IMAGE 4
CONTENTS XI
BIBLIOGRAPHY 387
INDEX 401
|
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| author | Luo, Zheng-Hua 1962- Guo, Bao-Zhu Morgul, Omer |
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| language | German |
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| spelling | Luo, Zheng-Hua 1962- Verfasser (DE-588)120560275 aut Stability and stabilization of infinite dimensional systems with applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul London [u.a.] Springer 1999 XI, 403 S. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Automatic control Controleleer gtt Regeltechniek gtt Stability Telecommunication systems Automatic control Congresses Stability Congresses Telecommunication systems Congresses Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Unendlichdimensionales System (DE-588)4207956-1 s Dynamisches System (DE-588)4013396-5 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Guo, Bao-Zhu Verfasser aut Morgul, Omer Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008399985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Luo, Zheng-Hua 1962- Guo, Bao-Zhu Morgul, Omer Stability and stabilization of infinite dimensional systems with applications Automatic control Controleleer gtt Regeltechniek gtt Stability Telecommunication systems Automatic control Congresses Stability Congresses Telecommunication systems Congresses Unendlichdimensionales System (DE-588)4207956-1 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4207956-1 (DE-588)4013396-5 (DE-588)4032317-1 (DE-588)1071861417 |
| title | Stability and stabilization of infinite dimensional systems with applications |
| title_auth | Stability and stabilization of infinite dimensional systems with applications |
| title_exact_search | Stability and stabilization of infinite dimensional systems with applications |
| title_full | Stability and stabilization of infinite dimensional systems with applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul |
| title_fullStr | Stability and stabilization of infinite dimensional systems with applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul |
| title_full_unstemmed | Stability and stabilization of infinite dimensional systems with applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul |
| title_short | Stability and stabilization of infinite dimensional systems with applications |
| title_sort | stability and stabilization of infinite dimensional systems with applications |
| topic | Automatic control Controleleer gtt Regeltechniek gtt Stability Telecommunication systems Automatic control Congresses Stability Congresses Telecommunication systems Congresses Unendlichdimensionales System (DE-588)4207956-1 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Automatic control Controleleer Regeltechniek Stability Telecommunication systems Automatic control Congresses Stability Congresses Telecommunication systems Congresses Unendlichdimensionales System Dynamisches System Kontrolltheorie Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008399985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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