Qualitative theory of dynamical systems: the role of stability preserving mappings
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
2001
|
| Ausgabe: | 2. ed., rev. and expanded |
| Schriftenreihe: | Pure and applied mathematics
239 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 707 S. graph. Darst. |
| ISBN: | 0824705262 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS THE ROLE OF STABILITY PRESERVING
MAPPINGS SECOND EDITION, REVISED AND EXPANDED ANTHONY N. MICHEL
UNIVERSITY OF NOTRE DAME NOTRE DAME, INDIANA KAINING WANG HUBSTORM
CORPORATION CUPERTINO, CALIFORNIA BOHU UNIVERSITY OF NOTRE DAME NOTRE
DAME, INDIANA / MARCEL DEKKER, INC. NEW YORK * BASEL CONTENTS PREFACE TO
THE SECOND EDITION III PREFACE TO THE FIRST EDITION VII 1. INTRODUCTION
1 1.1 DYNAMICAL SYSTEMS 3 1.2 STABILITY PRESERVING MAPPINGS 8 1.3
STABILITY OF MOTION 16 1.4 FINITE DIMENSIONAL SYSTEMS 25 1.5 INFINITE
DIMENSIONAL SYSTEMS 26 1.6 DIFFERENTIAL INCLUSIONS 7 27 1.7 HYBRID
DYNAMICAL SYSTEMS 28 1.8 STABILITY OF HYBRID AND DISCONTINUOUS DYNAMICAL
SYSTEMS 30 1.9 CASE STUDIES IN HYBRID AND DISCONTINUOUS DYNAMICAL
SYSTEMS 36 BIBLIOGRAPHY 39 2. DYNAMICAL SYSTEMS 41 2;1 NOTATION 42 2.2
DYNAMICAL SYSTEMS 43 2.3 ORDINARY DIFFERENTIAL EQUATIONS 45 2.4 ORDINARY
DIFFERENCE EQUATIONS 55 2.5 ORDINARY DIFFERENTIAL INEQUALITIES 58 2.6
ORDINARY DIFFERENCE INEQUALITIES 60 2.7 FUNCTIONAL DIFFERENTIAL
EQUATIONS 61 2.8 VOLTERRA INTEGRODIFFERENTIAL EQUATIONS 70 2.9
SEMIGROUPS 74 2.10 PARTIAL DIFFERENTIAL EQUATIONS . 84 XI XII CONTENTS
2.11 NOTES AND REFERENCES 93 2.12 PROBLEMS 95 BIBLIOGRAPHY 105 3.
STABILITY PRESERVING MAPPINGS 111 3.1 INVARIANT SETS 112 3.2 QUALITATIVE
CHARACTERIZATIONS 117 3.3 STABILITY PRESERVING MAPPINGS 125 3.4
COMPARISON THEOREMS 134 3.5 APPLICATIONS 140 3.6 A PERSPECTIVE 148 3.7
NOTES AND REFERENCES 150 3.8 PROBLEMS 151 BIBLIOGRAPHY 161 4. STABILITY
OF MOTION 165 4.1 SYSTEMS OF DIFFERENTIAL AND DIFFERENCE INEQUALITIES AS
COMPARISON SYSTEMS 167 4.2 RESULTS INVOLVING QUASIMONOTONICITY
CONDITIONS: CONTINUOUS-TIME CASE 173 4.3 RESULTS INVOLVING MONOTONICITY
CONDITIONS: DISCRETE-TIME CASE 181 4.4 THE PRINCIPAL LYAPUNOV THEOREMS
FOR GENERAL DYNAMICAL SYSTEMS 185 4.5 CONVERSE THEOREMS 196 4.6
AUTONOMOUS SYSTEMS 205 4.7 INVARIANCE THEORY 209 4.8 UNIQUENESS OF
MOTIONS 215 4.9 LYAPUNOV FUNCTIONS AND STABILITY PRESERVING MAPPINGS 220
4.10 APPLICATIONS TO DISCRETE EVENT SYSTEMS 223 4.11 NOTES AND
REFERENCES 240 4.12 PROBLEMS 241 BIBLIOGRAPHY 254 5. FINITE DIMENSIONAL
SYSTEMS 259 5.1 PRELIMINARIES 260 CONTENTS XIII 5.2 STABILITY AND
BOUNDEDNESS 265 5.3 INSTABILITY 274 5.4 INVARIANCE THEORY 278 5.5
CONVERSE THEOREMS 282 5.6 COMPARISON THEORY 284 5.7 APPLICATIONS:
ABSOLUTE STABILITY OF REGULATOR SYSTEMS 288 5.8 APPLICATIONS TO
ARTIFICIAL NEURAL NETWORKS 295 5.9 APPLICATIONS TO DIGITAL FILTERS 301
5.10 NOTES AND REFERENCES 305 5.11 PROBLEMS 307 BIBLIOGRAPHY 327 6.
INFINITE DIMENSIONAL SYSTEMS 333 6.1 PRELIMINARIES 334 6.2 STABILITY AND
BOUNDEDNESS 339 6.3 INSTABILITY 351 6.4 INVARIANCE THEORY 359 6.5
CONVERSE THEOREMS 365 6.6 COMPARISON THEORY 366 6.7 HYBRID SYSTEMS 375
6.8 AN APPLICATION TO ARTIFICIAL NEURAL NETWORKS WITH TIME DELAYS 382
6.9 APPLICATION TO A MULTICORE NUCLEAR REACTOR MODEL 387 6.10 NOTES AND
REFERENCES 390 6.11 PROBLEMS 391 BIBLIOGRAPHY 406 7. DIFFERENTIAL
INCLUSIONS 411 7.1 PRELIMINARIES 413 7.2 STABILITY ANALYSIS 415 7.3
INVARIANCE THEORY 418 7.4 DYNAMICAL SYSTEMS DETERMINED BY DIFFERENTIAL
INEQUALITIES 422 7.5 APPLICATIONS TO ROBUST STABILITY 426 XIV CONTENTS
7.6 APPLICATIONS TO ABSOLUTE STABILITY OF REGULATOR SYSTEMS 434 7.7
APPLICATIONS TO A CLASS OF NONLINEAR CIRCUITS AND ARTIFICIAL NEURAL
NETWORKS 439 7.8 NOTES AND REFERENCES 445 7.9 PROBLEMS 446 BIBLIOGRAPHY
453 8. HYBRID DYNAMICAL SYSTEMS 457 8.1 A MODEL FOR GENERAL HYBRID
DYNAMICAL SYSTEMS 460 8.2 SOME EXAMPLES OF HYBRID DYNAMICAL SYSTEMS
DEFINED ON GENERALIZED TIME 463 8.3 SOME QUALITATIVE CHARACTERIZATIONS
OF HYBRID DYNAMICAL SYSTEMS 469 8.4 EMBEDDING OF HYBRID DYNAMICAL
SYSTEMS INTO DYNAMICAL SYSTEMS DEFINED ON REAL TIME R + 474 8.5 SOME
EXAMPLES OF HYBRID DYNAMICAL SYSTEMS DEFINED ON R + 481 8.6 NOTES AND
REFERENCES 495 8.7 PROBLEMS 496 BIBLIOGRAPHY 503 9. STABILITY OF HYBRID
AND DISCONTINUOUS DYNAMICAL SYSTEMS 509 9.1 STABILITY OF DISCONTINUOUS
DYNAMICAL SYSTEMS: RESULTS INVOLVING STABILITY PRESERVING MAPPINGS 510
9.2 THE PRINCIPAL LYAPUNOV THEOREMS FOR DISCONTINUOUS DYNAMICAL SYSTEMS
519 9.3 CONVERSE THEOREMS 540 9.4 RESULTS INVOLVING VECTOR LYAPUNOV
FUNCTIONS 555 9.5 INTERCONNECTED SYSTEMS 565 9.6 NOTES AND REFERENCES
573 9.7 PROBLEMS 574 BIBLIOGRAPHY 576 CONTENTS XV 10. CASE STUDIES IN
HYBRID AND DISCONTINUOUS DYNAMICAL SYSTEMS 583 10.1 SOME QUALITATIVE
PROPERTIES OF SAMPLED-DATA CONTROL SYSTEMS 585 10.2 STABILITY ANALYSIS
OF MULTIRATE DIGITAL CONTROL SYSTEMS 597 10.3 STABILITY ANALYSIS OF
PULSE-WIDTH-MODULATED FEEDBACK CONTROL SYSTEMS 610 10.4 A CLASS OF
VARIABLE STRUCTURE SYSTEMS: HOPFIELD NEURAL NETS WITH INFINITE GAIN
AMPLIFIERS ... 638 10.5 DYNAMICAL SYSTEMS SUBJECTED TO STATE SATURATION
CONSTRAINTS 659 10.6 NOTES AND REFERENCES 685 BIBLIOGRAPHY 687 INDEX 697
|
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| author | Michel, Anthony N. 1935- Wang, Kaining Hu, Bo |
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
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| id | DE-604.BV013827442 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:52:43Z |
| institution | BVB |
| isbn | 0824705262 |
| language | English |
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| physical | XV, 707 S. graph. Darst. |
| publishDate | 2001 |
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| publishDateSort | 2001 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Michel, Anthony N. 1935- Verfasser (DE-588)11087076X aut Qualitative theory of dynamical systems the role of stability preserving mappings Anthony N. Michel ; Kaining Wang ; Bo Hu 2. ed., rev. and expanded New York [u.a.] Dekker 2001 XV, 707 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 239 Dinâmica topológica larpcal Dynamique différentiable Sistemas dinâmicos larpcal Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s Dynamisches System (DE-588)4013396-5 s DE-604 Wang, Kaining Verfasser aut Hu, Bo Verfasser aut Pure and applied mathematics 239 (DE-604)BV000001885 239 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009456432&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Michel, Anthony N. 1935- Wang, Kaining Hu, Bo Qualitative theory of dynamical systems the role of stability preserving mappings Pure and applied mathematics Dinâmica topológica larpcal Dynamique différentiable Sistemas dinâmicos larpcal Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4167992-1 |
| title | Qualitative theory of dynamical systems the role of stability preserving mappings |
| title_auth | Qualitative theory of dynamical systems the role of stability preserving mappings |
| title_exact_search | Qualitative theory of dynamical systems the role of stability preserving mappings |
| title_full | Qualitative theory of dynamical systems the role of stability preserving mappings Anthony N. Michel ; Kaining Wang ; Bo Hu |
| title_fullStr | Qualitative theory of dynamical systems the role of stability preserving mappings Anthony N. Michel ; Kaining Wang ; Bo Hu |
| title_full_unstemmed | Qualitative theory of dynamical systems the role of stability preserving mappings Anthony N. Michel ; Kaining Wang ; Bo Hu |
| title_short | Qualitative theory of dynamical systems |
| title_sort | qualitative theory of dynamical systems the role of stability preserving mappings |
| title_sub | the role of stability preserving mappings |
| topic | Dinâmica topológica larpcal Dynamique différentiable Sistemas dinâmicos larpcal Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| topic_facet | Dinâmica topológica Dynamique différentiable Sistemas dinâmicos Differentiable dynamical systems Dynamisches System Ljapunov-Stabilitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009456432&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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