Mathematical control theory: deterministic finite dimensional systems
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
1998
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Ausgabe: | 2. ed. |
Schriftenreihe: | Texts in applied mathematics
6 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XVI, 531 S. graph. Darst. |
ISBN: | 0387984895 |
Internformat
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100 | 1 | |a Sontag, Eduardo D. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Mathematical control theory |b deterministic finite dimensional systems |c Eduardo D. Sontag |
250 | |a 2. ed. | ||
264 | 1 | |a New York, NY [u.a.] |b Springer |c 1998 | |
300 | |a XVI, 531 S. |b graph. Darst. | ||
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490 | 1 | |a Texts in applied mathematics |v 6 | |
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Datensatz im Suchindex
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adam_text | EDUARDO D. SONTAG MATHEMATICAL CONTROL THEORY DETERMINISTIC FINITE
DIMENSIONAL SYSTEMS SECOND EDITION WITH 26 ILLUSTRATIONS SPRINGER
CONTENTS SERIES PREFACE V PREFACE TO THE SECOND EDITION VII PREFACE TO
THE FIRST EDITION IX 1 INTRODUCTION 1 1.1 WHAT IS MATHEMATICAL CONTROL
THEORY? 1 1.2 PROPORTIONAL-DERIVATIVE CONTROL 2 1.3 DIGITAL CONTROL 6
1.4 FEEDBACK VERSUS PRECOMPUTED CONTROL 9 1.5 STATE-SPACE AND SPECTRUM
ASSIGNMENT 11 1.6 OUTPUTS AND DYNAMIC FEEDBACK 16 1.7 DEALING WITH
NONLINEARITY 20 1.8 A BRIEF HISTORICAL BACKGROUND 22 1.9 SOME TOPICS NOT
COVERED 23 2 SYSTEMS 25 2.1 BASIC DEFINITIONS 25 2.2 I/O BEHAVIORS 30
2.3 DISCRETE-TIME 32 2.4 LINEAR DISCRETE-TIME SYSTEMS 36 2.5 SMOOTH
DISCRETE-TIME SYSTEMS 39 2.6 CONTINUOUS-TIME 41 2.7 LINEAR
CONTINUOUS-TIME SYSTEMS 46 2.8 LINEARIZATIONS COMPUTE DIFFERENTIALS 53
2.9 MORE ON DIFFERENTIABILITY* 64 2.10 SAMPLING 72 2.11 VOLTERRA
EXPANSIONS* 73 2.12 NOTES AND COMMENTS 76 CAN BE SKIPPED WITH NO LOSS
OF CONTINUITY. XIII XIV CONTENTS 3 REACHABILITY AND CONTROLLABILITY 81
3.1 BASIC REACHABILITY NOTIONS 81 3.2 TIME-INVARIANT SYSTEMS 84 3.3
CONTROLLABLE PAIRS OF MATRICES 92 3.4 CONTROLLABILITY UNDER SAMPLING 99
3.5 MORE ON LINEAR CONTROLLABILITY 104 3.6 BOUNDED CONTROLS* 117 3.7
FIRST-ORDER LOCAL CONTROLLABILITY 122 3.8 CONTROLLABILITY OF RECURRENT
NETS* 128 3.9 PIECEWISE CONSTANT CONTROLS 136 3.10 NOTES AND COMMENTS
137 4 NONLINEAR CONTROLLABILITY 141 4.1 LIE BRACKETS 141 4.2 LIE
ALGEBRAS AND FLOWS 147 4.3 ACCESSIBILITY RANK CONDITION 154 4.4 AD,
DISTRIBUTIONS, AND FROBENIUS THEOREM 164 4.5 NECESSITY OF ACCESSIBILITY
RANK CONDITION 177 4.6 ADDITIONAL PROBLEMS 179 4.7 NOTES AND COMMENTS
181 5 FEEDBACK AND STABILIZATION 183 5.1 CONSTANT LINEAR FEEDBACK 183
5.2 FEEDBACK EQUIVALENCE* 189 5.3 FEEDBACK LINEARIZATION* I 197 5.4
DISTURBANCE REJECTION AND INVARIANCE* 207 5.5 STABILITY AND OTHER
ASYMPTOTIC NOTIONS 211 5.6 UNSTABLE AND STABLE MODES* 215 5.7 LYAPUNOV
AND CONTROL-LYAPUNOV FUNCTIONS 218 5.8 LINEARIZATION PRINCIPLE FOR
STABILITY 233 5.9 INTRODUCTION TO NONLINEAR STABILIZATION* 239 5.10
NOTES AND COMMENTS 256 6 OUTPUTS 261 6.1 BASIC OBSERVABILITY NOTIONS 261
6.2 TIME-INVARIANT SYSTEMS 268 6.3 CONTINUOUS-TIME LINEAR SYSTEMS 276
6.4 LINEARIZATION PRINCIPLE FOR OBSERVABILITY 280 6.5 REALIZATION THEORY
FOR LINEAR SYSTEMS 283 6.6 RECURSION AND PARTIAL REALIZATION 290 6.7
RATIONALITY AND READABILITY 297 6.8 ABSTRACT REALIZATION THEORY* 303 6.9
NOTES AND COMMENTS 310 *CAN BE SKIPPED WITH NO LOSS OF CONTINUITY.
CONTENTS XV 7 OBSERVERS AND DYNAMIC FEEDBACK 315 7.1 OBSERVERS AND
DETECTABILITY 315 7.2 DYNAMIC FEEDBACK 321 7.3 EXTERNAL STABILITY FOR
LINEAR SYSTEMS 326 7.4 FREQUENCY-DOMAIN CONSIDERATIONS 331 7.5
PARAMETRIZATION OF STABILIZERS 337 7.6 NOTES AND COMMENTS 344 8
OPTIMALITY: VALUE FUNCTION 347 8.1 DYNAMIC PROGRAMMING* 349 8.2 LINEAR
SYSTEMS WITH QUADRATIC COST 363 8.3 TRACKING AND KALMAN FILTERING* 371
8.4 INFINITE-TIME (STEADY-STATE) PROBLEM 380 8.5 NONLINEAR STABILIZING
OPTIMAL CONTROLS 390 8.6 NOTES AND COMMENTS 394 9 OPTIMALITY:
MULTIPLIERS 397 9.1 REVIEW OF SMOOTH DEPENDENCE 397 9.2 UNCONSTRAINED
CONTROLS 399 9.3 EXCURSION INTO THE CALCULUS OF VARIATIONS 409 9.4
GRADIENT-BASED NUMERICAL METHODS 415 9.5 CONSTRAINED CONTROLS: MINIMUM
PRINCIPLE 418 9.6 NOTES AND COMMENTS 421 10 OPTIMALITY: MINIMUM-TIME FOR
LINEAR SYSTEMS 423 10.1 EXISTENCE RESULTS 424 10.2 MAXIMUM PRINCIPLE FOR
TIME-OPTIMALITY 431 10.3 APPLICATIONS OF THE MAXIMUM PRINCIPLE 436 10.4
REMARKS ON THE MAXIMUM PRINCIPLE 443 10.5 ADDITIONAL EXERCISES 444 10.6
NOTES AND COMMENTS 446 APPENDIXES A LINEAR ALGEBRA 447 A.I OPERATOR
NORMS . 447 A.2 SINGULAR VALUES 448 A.3 JORDAN FORMS AND MATRIX
FUNCTIONS 452 A.4 CONTINUITY OF EIGENVALUES . 456 B DIFFERENTIALS 461
B.I FINITE DIMENSIONAL MAPPINGS 461 B.2 MAPS BETWEEN NORMED SPACES 463 *
CAN BE SKIPPED WITH NO LOSS OF CONTINUITY. XVI CONTENTS C ORDINARY
DIFFERENTIAL EQUATIONS 467 C.I REVIEW OF LEBESGUE MEASURE THEORY 467 C.2
INITIAL-VALUE PROBLEMS 473 C.3 EXISTENCE AND UNIQUENESS THEOREM 474 C.4
LINEAR DIFFERENTIAL EQUATIONS 487 C.5 STABILITY OF LINEAR EQUATIONS .
491 BIBLIOGRAPHY 493 LIST OF SYMBOLS 519 INDEX 523
|
any_adam_object | 1 |
author | Sontag, Eduardo D. |
author_facet | Sontag, Eduardo D. |
author_role | aut |
author_sort | Sontag, Eduardo D. |
author_variant | e d s ed eds |
building | Verbundindex |
bvnumber | BV012078164 |
callnumber-first | Q - Science |
callnumber-label | QA402 |
callnumber-raw | QA402.3.S683 1998 |
callnumber-search | QA402.3.S683 1998 |
callnumber-sort | QA 3402.3 S683 41998 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 880 ZQ 5030 |
classification_tum | MSR 610f |
ctrlnum | (OCoLC)245948897 (DE-599)BVBBV012078164 |
dewey-full | 515.64 515/.6421 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.64 515/.64 21 |
dewey-search | 515.64 515/.64 21 |
dewey-sort | 3515.64 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
edition | 2. ed. |
format | Book |
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institution | BVB |
isbn | 0387984895 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008177211 |
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physical | XVI, 531 S. graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Springer |
record_format | marc |
series | Texts in applied mathematics |
series2 | Texts in applied mathematics |
spelling | Sontag, Eduardo D. Verfasser aut Mathematical control theory deterministic finite dimensional systems Eduardo D. Sontag 2. ed. New York, NY [u.a.] Springer 1998 XVI, 531 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 6 Kontrolltheorie Systemtheorie Control theory System analysis Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Endliche Mathematik (DE-588)4152155-9 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Systemtheorie (DE-588)4058812-9 s Endliche Mathematik (DE-588)4152155-9 s 1\p DE-604 Texts in applied mathematics 6 (DE-604)BV002476038 6 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008177211&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Sontag, Eduardo D. Mathematical control theory deterministic finite dimensional systems Texts in applied mathematics Kontrolltheorie Systemtheorie Control theory System analysis Kontrolltheorie (DE-588)4032317-1 gnd Systemtheorie (DE-588)4058812-9 gnd Endliche Mathematik (DE-588)4152155-9 gnd |
subject_GND | (DE-588)4032317-1 (DE-588)4058812-9 (DE-588)4152155-9 |
title | Mathematical control theory deterministic finite dimensional systems |
title_auth | Mathematical control theory deterministic finite dimensional systems |
title_exact_search | Mathematical control theory deterministic finite dimensional systems |
title_full | Mathematical control theory deterministic finite dimensional systems Eduardo D. Sontag |
title_fullStr | Mathematical control theory deterministic finite dimensional systems Eduardo D. Sontag |
title_full_unstemmed | Mathematical control theory deterministic finite dimensional systems Eduardo D. Sontag |
title_short | Mathematical control theory |
title_sort | mathematical control theory deterministic finite dimensional systems |
title_sub | deterministic finite dimensional systems |
topic | Kontrolltheorie Systemtheorie Control theory System analysis Kontrolltheorie (DE-588)4032317-1 gnd Systemtheorie (DE-588)4058812-9 gnd Endliche Mathematik (DE-588)4152155-9 gnd |
topic_facet | Kontrolltheorie Systemtheorie Control theory System analysis Endliche Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008177211&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV002476038 |
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