Verfügbarkeit: Control and nonlinearity | Technische Universität München

Control and nonlinearity:

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Bibliographische Detailangaben
Beteilige Person:	Coron, Jean-Michel 1956- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2007
Schriftenreihe:	Mathematical surveys and monographs volume 136
Schlagwörter:	Commande non linéaire Commande, Théorie de la Control theory Nonlinear control theory Nichtlineare Kontrolltheorie Kontrolltheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016221798&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverzeichnis und Index: Seiten 397-420
Umfang:	xiv, 426 Seiten Diagramme 27 cm
ISBN:	0821836684 9780821836682 9780821849187

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Datensatz im Suchindex

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adam_text	MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 136 AESUETI&R CONTROL AND NONLINEARITY JEAN-MICHEL CORON AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE IX PART 1. CONTROUABILITY OF LINEAR CONTROL SYSTEMS 1 CHAPTER 1. FINITE-DIMENSIONAL LINEAR CONTROL SYSTEMS 3 1.1. DEFINITION OF CONTROUABILITY 3 1.2. AN INTEGRAL CRITERION FOR CONTROUABILITY 4 1.3. KALMAN S TYPE CONDITIONS FOR CONTROUABILITY 9 1.4. THE HUBERT UNIQUENESS METHOD 19 CHAPTER 2. LINEAR PARTIAL DIFFERENTIAL EQUATIONS 23 2.1. TRANSPORT EQUATION 24 2.2. KORTEWEG-DE VRIES EQUATION 38 2.3. ABSTRACT LINEAR CONTROL SYSTEMS 51 2.4. WAVE EQUATION 67 2.5. HEAT EQUATION 76 2.6. A ONE-DIMENSIONAL SCHROEDINGER EQUATION 95 2.7. SINGULAR OPTIMAL CONTROL: A LINEAR 1-D PARABOLIC-HYPERBOLIC EXAMPLE 99 2.8. BIBLIOGRAPHICAL COMPLEMENTS 118 PART 2. CONTROUABILITY OF NONLINEAR CONTROL SYSTEMS 121 CHAPTER 3. CONTROUABILITY OF NONLINEAR SYSTEMS IN FINITE DIMENSION 125 3.1. THE LINEAR TEST 126 3.2. ITERATED LIE BRACKETS AND THE LIE ALGEBRA RANK CONDITION 129 3.3. CONTROUABILITY OF DRIFTLESS CONTROL AFFINE SYSTEMS 134 3.4. BAD AND GOOD ITERATED LIE BRACKETS 141 3.5. GLOBAL RESULTS 150 3.6. BIBLIOGRAPHICAL COMPLEMENTS 156 CHAPTER 4. LINEARIZED CONTROL SYSTEMS AND FIXED-POINT METHODS 159 4.1. THE LINEAR TEST: THE REGULAER CASE 159 4.2. THE LINEAR TEST: THE CASE OF LOSS OF DERIVATIVES 165 4.3. GLOBAL CONTROUABILITY FOR PERTURBATIONS OF LINEAR CONTROUABLE SYSTEMS 177 CHAPTER 5. ITERATED LIE BRACKETS 181 CHAPTER 6. RETURN METHOD 187 6.1. DESCRIPTION OF THE METHOD 187 6.2. CONTROUABILITY OF THE EULER AND NAVIER-STOKES EQUATIONS 192 VI CONTENTS 6.3. LOCAL CONTROLLABILITY OF A 1-D TANK CONTAINING A FLUID MODELED BY THE SAINT-VENANT EQUATIONS 203 CHAPTER 7. QUASI-STATIC DEFORMATIONS 223 7.1. DESCRIPTION OF THE METHOD 223 7.2. APPLICATION TO A SEMILINEAR HEAT EQUATION 225 CHAPTER 8. POWER SERIES EXPANSION 235 8.1. DESCRIPTION OF THE METHOD 235 8.2. APPLICATION TO A KORTEWEG-DE VRIES EQUATION 237 CHAPTER 9. PREVIOUS METHODS APPLIED TO A SCHROEDINGER EQUATION 247 9.1. CONTROLLABILITY AND UNCONTROLLABILITY RESULTS 247 9.2. SKETCH OF THE PROOF OF THE CONTROLLABILITY IN LARGE TIME 252 9.3. PROOF OF THE NONLOCAL CONTROLLABILITY IN SMALL TIME 263 PART 3. STABILIZATION 271 CHAPTER 10. LINEAR CONTROL SYSTEMS IN FINITE DIMENSION AND APPLICATIONS TO NONLINEAR CONTROL SYSTEMS 275 10.1. POLE-SHIFTING THEOREM 275 10.2. DIRECT APPLICATIONS TO THE STABILIZATION OF FINITE-DIMENSIONAL CONTROL SYSTEMS 279 10.3. GRAMIAN AND STABILIZATION 282 CHAPTER 11. STABILIZATION OF NONLINEAR CONTROL SYSTEMS IN FINITE DIMENSION 287 11.1. OBSTRUCTIONS TO STATIONARY FEEDBACK STABILIZATION 288 11.2. TIME-VARYING FEEDBACK LAWS 295 11.3. OUTPUT FEEDBACK STABILIZATION 305 11.4. DISCONTINUOUS FEEDBACK LAWS 311 CHAPTER 12. FEEDBACK DESIGN TOOLS 313 12.1. CONTROL LYAPUNOV FUNCTION 313 12.2. DAMPING FEEDBACK LAWS 314 12.3. HOMOGENEITY 328 12.4. AVERAGING 332 12.5. BACKSTEPPING 334 12.6. FORWARDING 337 12.7. TRANSVERSE FUNCTIONS 340 CHAPTER 13. APPLICATIONS TO SOME PARTIAL DIFFERENTIAL EQUATIONS 347 13.1. GRAMIAN AND RAPID EXPONENTIAL STABILIZATION 347 13.2. STABILIZATION OF A ROTATING BODY-BEAM WITHOUT DAMPING 351 13.3. NULL ASYMPTOTIC STABILIZABILITY OF THE 2-D EULER CONTROL SYSTEM 356 13.4. A STRICT LYAPUNOV FUNCTION FOR BOUNDARY CONTROL OF HYPERBOLIC SYSTEMS OF CONSERVATION LAWS 361 APPENDIX A. ELEMENTARY RESULTS ON SEMIGROUPS OF LINEAR OPERATORS 373 APPENDIX B. DEGREE THEORY 379 BIBLIOGRAPHY 397 CONTENTS VII LIST OF SYMBOLS 421 INDEX 423
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spellingShingle	Coron, Jean-Michel 1956- Control and nonlinearity Mathematical surveys and monographs Commande non linéaire Commande, Théorie de la Control theory Nonlinear control theory Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd
subject_GND	(DE-588)4475218-0 (DE-588)4032317-1
title	Control and nonlinearity
title_auth	Control and nonlinearity
title_exact_search	Control and nonlinearity
title_full	Control and nonlinearity Jean-Michel Coron
title_fullStr	Control and nonlinearity Jean-Michel Coron
title_full_unstemmed	Control and nonlinearity Jean-Michel Coron
title_short	Control and nonlinearity
title_sort	control and nonlinearity
topic	Commande non linéaire Commande, Théorie de la Control theory Nonlinear control theory Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd
topic_facet	Commande non linéaire Commande, Théorie de la Control theory Nonlinear control theory Nichtlineare Kontrolltheorie Kontrolltheorie
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volume_link	(DE-604)BV000018014
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