Stability analysis and robust control of time-delay systems:
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 336 S. graph. Darst. |
| ISBN: | 9783642030369 |
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Record in the Search Index
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| adam_text | CONTENTS 1. INTRODUCTION 1 1.1 REVIEW OF STABILITY ANALYSIS FOR
TIME-DELAY SYSTEMS 1 1.2 INTRODUCTION TO FWMS 11 1.3 OUTLINE OF THIS
BOOK 12 REFERENCES 15 2. PRELIMINARIES 19 2.1 LYAPUNOV STABILITY AND
BASIC THEOREMS 19 2.1.1 TYPES OF STABILITY 19 2.1.2 LYAPUNOV STABILITY
THEOREMS 22 2.2 STABILITY OF TIME-DELAY SYSTEMS 25 2.2.1
STABILITY-RELATED TOPICS 25 2.2.2 LYAPUNOV-KRASOVSKII STABILITY THEOREM
28 2.2.3 RAZUMIKHIN STABILITY THEOREM 29 2.3 H X NORM 30 2.3.1 NORM 30
2.3.2 I/OO NORM 31 2.4 HOO CONTROL 32 2.5 LMI METHOD * 34 2.5.1 COMMON
SPECIFICATIONS OF LMIS 34 2.5.2 STANDARD LMI PROBLEMS 35 2.6 LEMMAS 36
2.7 CONCLUSION 38 REFERENCES * 38 3. STABILITY OF SYSTEMS WITH
TIME-VARYING DELAY 41 3.1 PROBLEM FORMULATION 43 3.2 STABILITY OF
NOMINAL SYSTEM 44 3.2.1 REPLACING THE TERM (T) 44 3.2.2 RETAINING THE
TERM I(T) 47 3.2.3 EQUIVALENCE ANALYSIS 50 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/998804967 DIGITALISIERT DURCH 5.2.4 NUMERICAL EXAMPLES
114 VIII CONTENTS 3.3 STABILITY OF SYSTEMS WITH TIME-VARYING STRUCTURED
UNCERTAINTIES 51 3.3.1 ROBUST STABILITY ANALYSIS 51 3.3.2 NUMERICAL
EXAMPLE 53 3.4 STABILITY OF SYSTEMS WITH POLYTOPIC-TYPE UNCERTAINTIES 54
3.4.1 ROBUST STABILITY ANALYSIS 54 3.4.2 NUMERICAL EXAMPLE 57 3.5 IFWM
APPROACH 58 3.5.1 RETAINING USEFUL TERMS 59 3.5.2 FURTHER INVESTIGATION
64 3.5.3 NUMERICAL EXAMPLES 66 3.6 CONCLUSION * * * 68 REFERENCES 68 4.
STABILITY OF SYSTEMS WITH MULTIPLE DELAYS 73 4.1 PROBLEM FORMULATION 74
4.2 TWO DELAYS 75 4.2.1 NOMINAL SYSTEMS 75 4.2.2 EQUIVALENCE ANALYSIS 81
4.2.3 SYSTEMS WITH TIME-VARYING STRUCTURED UNCERTAINTIES 83 4.2.4
NUMERICAL EXAMPLES 85 4.3 MULTIPLE DELAYS 89 4.4 CONCLUSION 91
REFERENCES 92 5. STABILITY OF NEUTRAL SYSTEMS 93 5.1 NEUTRAL SYSTEMS
WITH TIME-VARYING DISCRETE DELAY, 94 5.1.1 PROBLEM FORMULATION * 94
5.1.2 NOMINAL SYSTEMS 95 5.1.3 SYSTEMS WITH TIME-VARYING STRUCTURED
UNCERTAINTIES 100 5.1.4 NUMERICAL EXAMPLE 101 5.2 NEUTRAL SYSTEMS WITH
IDENTICAL DISCRETE AND NEUTRAL DELAYS * * 101 5.2.1 FWM APPROACH 102
5.2.2 FWM APPROACH IN COMBINATION WITH PARAMETERIZED MODEL
TRANSFORMATION 105 5.2.3 FWM APPROACH IN COMBINATION WITH AUGMENTED
LYAPUNOV- KRASOVSKII FUNCTIONAL 109 CONTENTS IX 5.3 NEUTRAL SYSTEMS WITH
DIFFERENT DISCRETE AND NEUTRAL DELAYS * * 116 5.3.1 NOMINAL SYSTEMS 116
5.3.2 EQUIVALENCE ANALYSIS 120 5.3.3 SYSTEMS WITH TIME-VARYING
STRUCTURED UNCERTAINTIES 121 5.3.4 NUMERICAL EXAMPLE 122 5.4 CONCLUSION
123 REFERENCES 123 6. STABILIZATION OF SYSTEMS WITH TIME-VARYING DELAY
127 6.1 PROBLEM FORMULATION 128 6.2 ITERATIVE NONLINEAR MINIMIZATION
ALGORITHM 129 6.3 PARAMETER-TUNING METHOD 136 6.4 COMPLETELY LMI-BASED
DESIGN METHOD 138 6.5 NUMERICAL EXAMPLE 141 6.6 CONCLUSION 145
REFERENCES 145 7. STABILITY AND STABILIZATION OF DISCRETE-TIME SYSTEMS
WITH TIME-VARYING DELAY 147 7.1 PROBLEM FORMULATION 148 7.2 STABILITY
ANALYSIS 149 7.3 CONTROLLER DESIGN 153 7.3.1 SOF CONTROLLER 154 7.3.2
DOF CONTROLLER 156 7.4 NUMERICAL EXAMPLES 158 7.5 CONCLUSION 159
REFERENCES 159 8. HOO CONTROL DESIGN FOR SYSTEMS WITH TIME-VARYING DELAY
**** * 163 8.1 PROBLEM FORMULATION 163 8.2 BRL 165 8.3 DESIGN OF
STATE-FEEDBACK HM CONTROLLER 168 8.4 NUMERICAL EXAMPLES 171 8.5
CONCLUSION 173 REFERENCES 174 9. HOO X CONTENTS 9.1.3 DESIGN OF #
FILTER 184 9.1.4 NUMERICAL EXAMPLES 187 9.2 H X FILTER DESIGN FOR
DISCRETE-TIME SYSTEMS 188 9.2.1 PROBLEM FORMULATION 188 9.2.2 HOO
PERFORMANCE ANALYSIS 190 9.2.3 DESIGN OF H X FILTER 197 9.2.4 NUMERICAL
EXAMPLE 199 9.3 CONCLUSION * 200 REFERENCES 200 10. STABILITY OF NEURAL
NETWORKS WITH TIME-VARYING DELAY * * * 203 10.1 STABILITY OF NEURAL
NETWORKS WITH MULTIPLE DELAYS 205 10.1.1 PROBLEM FORMULATION 205 10.1.2
STABILITY CRITERIA 206 10.1.3 NUMERICAL EXAMPLES 213 10.2 STABILITY OF
NEURAL NETWORKS WITH INTERVAL DELAY * 215 10.2.1 PROBLEM FORMULATION 215
10.2.2 STABILITY CRITERIA 216 10.2.3 NUMERICAL EXAMPLES 221 10.3
EXPONENTIAL STABILITY OF CONTINUOUS-TIME NEURAL NETWORKS 223 10.3.1
PROBLEM FORMULATION 223 10.3.2 STABILITY CRITERIA DERIVED BY FWM
APPROACH 224 10.3.3 STABILITY CRITERIA DERIVED BY IFWM APPROACH 230
10.3.4 NUMERICAL EXAMPLES 235 10.4 EXPONENTIAL STABILITY OF
DISCRETE-TIME RECURRENT NEURAL NETWORKS 237 10.4.1 PROBLEM FORMULATION
237 10.4.2 STABILITY CRITERION DERIVED BY IFWM APPROACH 238 10.4.3
NUMERICAL EXAMPLES 245 10.5 CONCLUSION 246 REFERENCES 247 11. STABILITY
OF T-S FUZZY SYSTEMS WITH TIME-VARYING DELA CONTENTS XI REFERENCES 260
12. STABILITY AND STABILIZATION OF NCSS 263 12.1 MODELING OF NCSS WITH
NETWORK-INDUCED DELAY 264 12.2 STABILITY ANALYSIS 266 12.3 CONTROLLER
DESIGN 269 12.4 NUMERICAL EXAMPLES 271 12.5 CONCLUSION 272 REFERENCES
273 13. STABILITY OF STOCHASTIC SYSTEMS WITH TIME-VARYING DELAY 277 13.1
ROBUST STABILITY OF UNCERTAIN STOCHASTIC SYSTEMS 278 13.1.1 PROBLEM
FORMULATION 278 13.1.2 ROBUST STABILITY ANALYSIS 279 13.1.3 NUMERICAL
EXAMPLE 283 13.2 EXPONENTIAL STABILITY OF STOCHASTIC MARKOVIAN JUMP
SYSTEMS WITH NONLINEARITIES 284 13.2.1 PROBLEM FORMULATION 284 13.2.2
EXPONENTIAL-STABILITY ANALYSIS 286 13.2.3 NUMERICAL EXAMPLE 294 13.3
CONCLUSION 295 REFERENCES 296 14. STABILITY OF NONLINEAR TIME-DELAY
SYSTEMS 299 14.1 ABSOLUTE STABILITY OF NONLINEAR SYSTEMS WITH DELAY AND
MULTIPLE NONLINEARITIES 301 14.1.1 PROBLEM FORMULATION 301 14.1.2
NOMINAL SYSTEMS 303 14.1.3 SYSTEMS WITH TIME-VARYING STRUCTURED
UNCERTAINTIES * * * 308 14.1.4 NUMERICAL EXAMPLES 310 14.2 ABSOLUTE
STABILITY OF NONLINEAR SYSTEMS WITH TIME-VARYING DELAY 311 14.2.1
PROBLEM FORMULATION 312 14.2.2 NOMINAL SYSTEMS 313 14.2.3 SYSTEMS WITH
TIME-VARYING STRUCTURED UNCERTAINTIES * * * 316 14.2.4 NUMERICAL EXAMPLE
317 14. XII CONTENTS 14.3.2 STABILITY RESULTS * 319 14.3.3 FURTHER
RESULTS OBTAINED WITH AUGMENTED LYAPUNOV- KRASOVSKII FUNCTIONAL 325
14.3.4 NUMERICAL EXAMPLES 330 14.4 CONCLUSION 330 REFERENCES 331 INDEX
335
|
| any_adam_object | 1 |
| author | Wu, Min He, Yong She, Jin-Hua |
| author_GND | (DE-588)140856765 |
| author_facet | Wu, Min He, Yong She, Jin-Hua |
| author_role | aut aut aut |
| author_sort | Wu, Min |
| author_variant | m w mw y h yh j h s jhs |
| building | Verbundindex |
| bvnumber | BV025599721 |
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| dewey-full | 515.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Mathematik |
| format | Book |
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| spelling | Wu, Min Verfasser aut Stability analysis and robust control of time-delay systems Min Wu ; Yong He ; Jin-Hua She Berlin [u.a.] Springer 2010 XII, 336 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Robuste Kontrolle (DE-588)4232797-0 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Zeitverzögertes System (DE-588)4780926-7 s Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s Robuste Kontrolle (DE-588)4232797-0 s DE-604 He, Yong Verfasser (DE-588)140856765 aut She, Jin-Hua Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195286&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wu, Min He, Yong She, Jin-Hua Stability analysis and robust control of time-delay systems Zeitverzögertes System (DE-588)4780926-7 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Dynamisches System (DE-588)4013396-5 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4780926-7 (DE-588)4167992-1 (DE-588)4232797-0 (DE-588)4013396-5 (DE-588)4199298-2 |
| title | Stability analysis and robust control of time-delay systems |
| title_auth | Stability analysis and robust control of time-delay systems |
| title_exact_search | Stability analysis and robust control of time-delay systems |
| title_full | Stability analysis and robust control of time-delay systems Min Wu ; Yong He ; Jin-Hua She |
| title_fullStr | Stability analysis and robust control of time-delay systems Min Wu ; Yong He ; Jin-Hua She |
| title_full_unstemmed | Stability analysis and robust control of time-delay systems Min Wu ; Yong He ; Jin-Hua She |
| title_short | Stability analysis and robust control of time-delay systems |
| title_sort | stability analysis and robust control of time delay systems |
| topic | Zeitverzögertes System (DE-588)4780926-7 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Dynamisches System (DE-588)4013396-5 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Zeitverzögertes System Ljapunov-Stabilitätstheorie Robuste Kontrolle Dynamisches System Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195286&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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