Time delay systems: methods, applications and new trends
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| Format: | Book |
| Language: | English |
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Berlin ; Heidelberg
Springer
2012
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| Series: | Lecture notes in control and information sciences
423 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXV, 442 S. graph. Darst. 24 cm |
| ISBN: | 9783642252204 3642252206 |
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| 245 | 1 | 0 | |a Time delay systems |b methods, applications and new trends |c Rifat Sipahi ... (eds) |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2012 | |
| 300 | |a XXV, 442 S. |b graph. Darst. |c 24 cm | ||
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| 490 | 1 | |a Lecture notes in control and information sciences |v 423 | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |t Time Delay Systems: Methods, Applications and New Trends |
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IMAGE 1
CONTENTS
PART I METHODOLOGY: F R O M RETARDED TO NEUTRAL CONTINUOUS DELAY M O D E
L S LYAPUNOV FUNCTIONALS AND MATRICES FOR NEUTRAL TYPE TIME DELAY
SYSTEMS 3
VLADIMIR L. KHARITONOV 1 INTRODUCTION 3
2 PRELIMINARIES 4
2.1 SYSTEM DESCRIPTION 4
2.2 EXPONENTIAL STABILITY 5
2.3 PROBLEM FORMULATION 5
3 LYAPUNOV MATRICES AND FUNCTIONALS 6
3.1 EXISTENCE AND UNIQUENESS ISSUES 7
3.2 COMPUTATIONAL ISSUE 8
3.3 SPECTRAL PROPERTIES 8
4 LYAPUNOV FUNCTIONALS: A N E W FORM 9
5 QUADRATIC BOUNDS 11
6 APPLICATIONS 12
6.1 EXPONENTIAL ESTIMATES 12
6.2 QUADRATIC PERFORMANCE INDEX 13
6.3 ROBUSTNESS BOUNDS 14
6.4 T H E N O R M O F A TRANSFER MATRIX 15
7 COMMENTS 15
REFERENCES 16
ON THE STABILITY O F POSITIVE DIFFERENCE EQUATIONS 19
MICHAEL DI LORETO AND JEAN JACQUES LOISEAU 1 INTRODUCTION 19
2 STABILITY O F DIFFERENCE EQUATIONS 21
2.1 EXPONENTIAL STABILITY 21
2.2 ZEROS LOCATION O F DIFFERENCE EQUATIONS 2 2
2.3 STABILITY AND ROBUST STABILITY O F DIFFERENCE
EQUATIONS 2 4
2.4 EXAMPLES 2 6
HTTP://D-NB.INFO/1016104332
IMAGE 2
X V I
CONTENTS
3 MAIN RESULTS 2 8
3.1 POSITIVE DIFFERENCE EQUATIONS 2 8
3.2 STABILITY O F MONOVARIABLE POSITIVE DIFFERENCE EQUATIONS 2 8
3.3 STABILITY O F M U L T I V A R I A T E POSITIVE DIFFERENCE
EQUATIONS 2 9
3.4 ASYMPTOTIC BEHAVIOR O F POSITIVE DIFFERENCE EQUATIONS 3 0
4 CONCLUSIONS AND FINAL REMARKS 3 2
REFERENCES 3 3
POSITIVITY O F COMPLETE QUADRATIC LYAPUNOV-KRASOVSKII FUNCTIONALS IN
TIME-DELAY SYSTEMS 3 5
KEQIN GU, YASHUN ZHANG, AND MATTHEW PEET 1 INTRODUCTION 3 5
2 POSITIVE OPERATORS 3 6
3 POSITIVE QUADRATIC INTEGRAL EXPRESSIONS 3 9
4 STABILITY O F COUPLED DIFFERENTIAL-DIFFERENCE EQUATIONS 41
5 SOS FORMULATION 4 4
6 NUMERICAL EXAMPLE AND OBSERVATION 4 6
7 CONCLUSION 4 6
REFERENCES 4 6
O N RETARDED NONLINEAR TIME-DELAY SYSTEMS T H A T GENERATE NEUTRAL
INPUT-OUTPUT EQUATIONS 4 9
MILENA ANGUELOVA AND MIROSLAV HALAS 1 INTRODUCTION 4 9
2 ALGEBRAIC SETTING 5 0
3 INPUT-OUTPUT REPRESENTATION 51
3.1 STATE ELIMINATION ALGORITHM 51
3.2 NEUTRAL INPUT-OUTPUT EQUATIONS 5 3
4 MAIN RESULT 5 4
4.1 INPUT-OUTPUT EQUATIONS F O R LINEAR DELAY SYSTEMS 5 4
4.2 INPUT-OUTPUT EQUATIONS FOR NONLINEAR DELAY SYSTEMS 5 6
5 SUMMARY 5 7
6 RETARDED INPUT-OUTPUT REPRESENTATION 5 7
7 CONCLUSIONS,"DISCUSSION AND OPEN PROBLEMS 5 8
REFERENCES 5 9
COMPUTATION O F IMAGINARY AXIS EIGENVALUES A N D CRITICAL PARAMETERS FOR
NEUTRAL TIME DELAY SYSTEMS 61
GILBERTO OCHOA, SABINE MONDIE, AND VLADIMIR L. KHARITONOV 1 INTRODUCTION
61
2 PRELIMINARY RESULTS 6 2
2.1 SYSTEM DESCRIPTION 6 2
IMAGE 3
CONTENTS XVII
2.2 LYAPUNOV-KRASOVSKII FUNCTIONALS 6 3
2.3 PROPERTIES O F THE LYAPUNOV MATRIX 6 3
3 COMPUTATION O F THE LYAPUNOV MATRIX 6 4
4 FREQUENCY DOMAIN STABILITY ANALYSIS 6 6
5 PROPOSED METHODOLOGY 67
6 EXAMPLES 6 8
7 CONCLUSIONS 71
REFERENCES 71
SET-INDUCED STABILITY RESULTS FOR DELAY DIFFERENCE EQUATIONS 7 3
ROB H. GIELEN, MIRCEA LAZAR, AND SORIN OLARU 1 INTRODUCTION 7 3
2 PRELIMINARIES 7 4
2.1 DELAY DIFFERENCE EQUATIONS 7 5
3 ^ - C O N T R A C T I V E SETS AND J ^ J F - S T A B I L I T Y 7 6
4 NECESSARY CONDITIONS FOR ^ - C O N T R A C T I V E SETS 7 9
5 ILLUSTRATIVE EXAMPLE 81
6 CONCLUSION 8 3
REFERENCES 8 3
PART II SYSTEMS, SIGNALS AND APPLICATIONS
TEMPERATURE AND HEAT FLUX DEPENDENCE/INDEPENDENCE FOR HEAT EQUATIONS
WITH M E M O R Y 8 7
SERGEI AVDONIN AND LUCIANO PANDOLFI 1 INTRODUCTION 8 7
1.1 FURTHER APPLICATIONS AND REFERENCES 8 8
2 THE INTERPRETATION O F DEPENDENCE/INDEPENDENCE O F H E A T AND FLUX 89
3 STRICT DEPENDENCE AT SMALL TIMES 9 0
4 INDEPENDENCE AT LARGE TIMES 9 0
4.1 PRELIMINARY TRANSFORMATIONS AND ASYMPTOTIC ESTIMATES 91
4.2 RIESZ BASES AND RIESZ SEQUENCES 9 2
4.3 TEMPERATURE AND FLUX REGULARITY 9 4
4.4 T H E P R O O F O F INDEPENDENCE 9 8
REFERENCES 100
IDENTIFIABILITY AND ALGEBRAIC IDENTIFICATION O F T I M E DELAY SYSTEMS 1
03 LOTFI BELKOURA 1 INTRODUCTION 103
1.1 T H E DISTRIBUTION FRAMEWORK 104
2 IDENTIFIABILITY ANALYSIS 105
2.1 SUFFICIENTLY RICH INPUT 107
3 ALGEBRAIC IDENTIFICATION: T H E STRUCTURED CASE 108
3.1 STRUCTURED SIGNALS AND THEIR ANNIHILATION 108
IMAGE 4
XVIII
CONTENTS
3.2 APPLICATION TO A SINGLE DELAY IDENTIFICATION 108
3.3 APPLICATION TO A SIMULTANEOUS PARAMETERS AND DELAY IDENTIFICATION:
EXPERIMENTAL EXAMPLE 110
4 ALGEBRAIC IDENTIFICATION: T H E UNSTRUCTURED CASE 112
4.1 THE CROSS CONVOLUTION APPROACH 112
4.2 APPLICATION TO A DELAY IDENTIFICATION 113
4.3 EXPERIMENTAL RESULTS (CONTINUED) 115
5 CONCLUSION 116
REFERENCES 116
STABILITY ANALYSIS FOR A CONSENSUS SYSTEM O F A GROUP O F AUTONOMOUS
AGENTS WITH TIME DELAYS 119
RUDY CEPEDA-GOMEZ AND NEJAT OLGAC 1 INTRODUCTION 119
2 PROBLEM STATEMENT 121
3 STABILITY ANALYSIS 123
3.1 FIRST FACTOR O F (9) 123
3.2 SECOND FACTOR O F (9) 125
3.3 COMPLETE STABILITY PICTURE 126
4 SIMULATIONS 127
5 CONCLUSIONS 130
APPENDIX 131
REFERENCES 133
STATE SPACE FOR TIME VARYING DELAY 135
ERIK I. VERRIEST 1 INTRODUCTION 135
2 STATE 136
3 FUNCTIONAL DIFFERENTIAL EQUATION 137
4 NON-DIFFERENTIAL FUNCTIONAL EQUATION 141
5 REACHABILITY O F SYSTEMS WITH FIXED POINT DELAY 142
5.1 P B H TEST FOR DELAY SYSTEMS 142
5.2 STATE AUGMENTATION 144
6 CONCLUSIONS 145
REFERENCES 146
DELAYS. PROPAGATION. CONSERVATION L A W S 147
VLADIMIR RASVAN 1 INTRODUCTION AND BASICS 147
2 LOSSLESS AND DISTORTIONLESS PROPAGATION 149
3 T H E MULTI-WAVE CASE. APPLICATION TO THE CIRCULATING FUEL NUCLEAR
REACTORS 152
4 A CONTROL PROBLEM 153
5 DYNAMICS AND CONTROL FOR SYSTEMS O F CONSERVATION L A W S 156
6 CONCLUSIONS 158
REFERENCES 158
IMAGE 5
CONTENTS X I X
EQUATIONS WITH ADVANCED ARGUMENTS IN STICK BALANCING MODELS 161
TAMAS INSPERGER, RICHARD WOHLFART, JANOS TURI, AND G A B O R STEPAN 1
INTRODUCTION 161
2 DIFFERENT MECHANICAL MODELS 162
3 ANALYSIS O F THE DIFFERENT MODELS 164
4 RESULTS AND CONCLUSIONS 172
REFERENCES 172
OPTIMAL CONTROL WITH PREVIEW FOR LATERAL STEERING O F A PASSENGER CAR:
DESIGN A N D TEST O N A DRIVING SIMULATOR 173
LOUAY SALEH, PHILIPPE CHEVREL, AND JEAN-FRAN§OIS LAFAY 1 INTRODUCTION
173
2 PROBLEM STATEMENT 174
3 THE H2/LQ-PREVIEW PROBLEM SOLUTION 175
4 SOLUTION ANALYSIS 177
5 APPLICATION TO C A R LATERAL STEERING CONTROL 178
5.1 SIMPLIFIED LATERAL MODEL O F THE VEHICLE 178
5.2 EXPERIMENTAL SETUP AND RESULTS 180
6 PREVIEW HORIZON AND WEIGHTING MATRIX IMPACT 183
7 CONCLUSION 184
REFERENCES 185
LOCAL ASYMPTOTIC STABILITY CONDITIONS FOR THE POSITIVE EQUILIBRIUM O F A
SYSTEM MODELING CELL DYNAMICS IN LEUKEMIA 1 87
HITAY OZBAY, CATHERINE BONNET, H O U D A BENJELLOUN, AND JEAN
CLAIRAMBAUK 1 INTRODUCTION 187
2 MATHEMATICAL MODEL O F CELL DYNAMICS IN LEUKEMIA 188
3 STABILITY ANALYSIS FOR THE POSITIVE EQUILIBRIUM 190
3.1 LOCAL ASYMPTOTIC STABILITY FOR / I 0 191
3.2 LOCAL ASYMPTOTIC STABILITY FOR FI 0 191
4 CONCLUSIONS 196
REFERENCES 196
PART III NUMERICAL METHODS
DESIGN O F FIXED-ORDER STABILIZING AND J#\ OPTIMAL CONTROLLERS: AN
EIGENVALUE OPTIMIZATION APPROACH 201
WIM MICHIELS 1 INTRODUCTION 2 0 1
2 SOLVING ANALYSIS PROBLEMS 2 0 2
2.1 COMPUTATION O F CHARACTERISTIC ROOTS AND THE SPECTRAL ABSCISSA 2 0 3
1 2 . 2 COMPUTATION O F M L N O R M S 2 0 5
2.3 COMPUTATION O F M \ N O R M S 2 0 6
3 SOLVING SYNTHESIS PROBLEMS 2 0 8
3.1 STABILIZATION 2 0 9
3.2 M L AND M ^ OPTIMIZATION PROBLEMS 2 1 0
IMAGE 6
X X CONTENTS
4 SOFTWARE AND APPLICATIONS 211
5 CONCLUDING REMARKS 2 1 4
REFERENCES 2 1 4
DISCRETIZATION O F SOLUTION OPERATORS FOR LINEAR T I M E INVARIANT - T I
M E DELAY SYSTEMS IN HILBERT SPACES 217
DIMITRI BREDA, STEFANO MASET AND ROSSANA VERMIGLIO 1 INTRODUCTION 2 1 7
2 SOLUTION OPERATORS AND NOTATION 2 1 9
3 PROJECTION AND COLLOCATION 2 2 0
3.1 CONVERGENCE ANALYSIS 221
3.2 T H E MATRIX F O R M 2 2 4
4 CONCLUSIONS 2 2 6
APPENDIX 2 2 6
REFERENCES 2 2 7
THE INFINITE ARNOLDI METHOD AND A N APPLICATION TO TIME-DELAY SYSTEMS
WITH DISTRIBUTED DELAYS 2 2 9
ELIAS JARLEBRING, W I M MICHIELS, AND KARL MEERBERGEN 1 INTRODUCTION 2 2
9
2 OPERATOR FORMULATION 2 3 0
3 THE INFINITE ARNOLDI METHOD 231
4 ADAPTION F O R TIME-DELAY SYSTEMS WITH DISTRIBUTED DELAYS 2 3 3
4.1 COMPUTING YO F R D I S T R I B U T E D DELAYS 2 3 3
4.2 CONNECTION WITH THE FOURIER COSINE TRANSFORM 2 3 5
5 EXAMPLES 2 3 6
5.1 EXAMPLE 1: A RECTANGULAR FUNCTION 2 3 6
5.2 EXAMPLE 2: A GAUSSIAN DISTRIBUTION 2 3 7
6 CONCLUSIONS 2 3 8
REFERENCES 2 3 8
A N E W METHOD FOR DELAY-INDEPENDENT STABILITY O F TIME-DELAYED SYSTEMS
241
ALI FUAT ERGENC 1 INTRODUCTION AND THE PROBLEM STATEMENT 241
2 PRELIMINARIES 2 4 2
3 MAIN RESULTS 2 4 4
4 EXAMPLE CASE STUDIES 2 4 7
5 CONCLUSIONS 2 5 0
REFERENCES 2 5 0
A HYBRID METHOD FOR THE ANALYSIS O F NON-UNIFORMLY SAMPLED SYSTEMS 2 5 3
LAURENTIU HETEL, ALEXANDRE KRUSZEWSKI, AND JEAN-PIERRE RICHARD 1
INTRODUCTION 2 5 3
2 PROBLEM DESCRIPTION 2 5 5
IMAGE 7
CONTENTS
X X I
3 L O W E R ESTIMATE O F THE LYAPUNOV EXPONENT 2 5 6
3.1 TIME-DELAY MODEL O F THE SYSTEM 2 5 6
3.2 THEORETICAL EVALUATION 2 5 7
3.3 NUMERICAL EVALUATION 2 5 8
3.4 NUMERICAL IMPROVEMENTS 2 6 0
4 NUMERICAL E X A M P L E 2 6 2
5 CONCLUSION 2 6 2
REFERENCES 2 6 3
A NUMERICAL METHOD FOR THE CONSTRUCTION O F LYAPUNOV MATRICES FOR LINEAR
PERIODIC SYSTEMS WITH T I M E DELAY 265
OLGA N. LETYAGINA AND ALEXEY P. Z H A B K O 1 INTRODUCTION 2 6 5
2 PRELIMINARIES 2 6 6
3 COMPLETE TYPE LYAPUNOV FUNCTIONALS 2 6 7
4 EXISTENCE ISSUE 2 6 9
5 EXPONENTIAL ESTIMATION AND ROBUST STABILITY 2 7 2
5.1 EXPONENTIAL ESTIMATION 2 7 2
5.2 ROBUST STABILITY 2 7 2
6 COMPUTATION ISSUE 2 7 4
REFERENCES 2 7 5
POLYTOPIC DISCRETE-TIME MODELS FOR SYSTEMS WITH TIME-VARYING DELAYS 2 7
7
WARODY LOMBARDI, SORIN OLARU, AND SILVIU-IULIAN NICULESCU 1 INTRODUCTION
2 7 7
2 PROBLEM FORMULATION 2 7 8
3 POLYTOPIC EMBEDDINGS 2 7 9
3.1 NON-DEFECTIVE SYSTEM MATRIX WITH REAL EIGENVALUES . . . 2 8 0
3.2 DEFECTIVE SYSTEM MATRIX WITH REAL EIGENVALUES 281
3.3 NON-DEFECTIVE SYSTEM MATRIX WITH COMPLEXCONJUGATED EIGENVALUES 2 8 3
4 TOWARDS A LESS CONSERVATIVE SIMPLEX E M B E D D I N G 2 8 3
5 CONCLUSION 2 8 7
REFERENCES 287
PART IV PREDICTOR-BASED CONTROL AND COMPENSATION
PREDICTOR FEEDBACK: TIME-VARYING, ADAPTIVE, AND NONLINEAR 291
MIROSLAV KRSTIC 1 INTRODUCTION 291
2 LYAPUNOV FUNCTIONAL AND ITS IMMEDIATE BENEFITS 2 9 2
3 DELAY-ROBUSTNESS, DELAY-ADAPTIVITY, AND TIME-VARYING DELAYS 2 9 4
3.1 ROBUSTNESS TO DELAY MISMATCH 2 9 4
3.2 DELAY-ADAPTIVE PREDICTOR 2 9 5
IMAGE 8
X X I I
CONTENTS
3.3 TIME-VARYING INPUT DELAY 2 9 7
4 PREDICTOR FEEDBACK FOR NONLINEAR SYSTEMS 2 9 9
5 NON-HOLONOMIC UNICYCLE CONTROLLED OVER A NETWORK 3 0 2
6 STATE-DEPENDENT DELAY 3 0 3
7 CONCLUSIONS 3 0 5
REFERENCES 3 0 5
SMOOTHING TECHNIQUES-BASED DISTRIBUTED MODEL PREDICTIVE CONTROL
ALGORITHMS FOR NETWORKS 307
ION NECOARA, L O A N DUMITRACHE, AND JOHAN A.K. SUYKENS 1 INTRODUCTION 3
0 7
2 APPLICATION O F SMOOTHING TECHNIQUES TO SEPARABLE CONVEX PROBLEMS 3 0
8
2.1 PROXIMAL CENTER DECOMPOSITION METHOD 3 1 0
2.2 INTERIOR-POINT LAGRANGIAN DECOMPOSITION METHOD 311
2.3 APPLICATION O F SMOOTHING TECHNIQUES TO SEPARABLE NON-CONVEX
PROBLEMS 3 1 2
3 DISTRIBUTED MODEL PREDICTIVE CONTROL 3 1 3
3.1 DISTRIBUTED M P C FOR COUPLING NON-LINEAR DYNAMICS . . . 3 1 3
3.2 DISTRIBUTED M P C FOR COUPLING LINEAR DYNAMICS 3 1 5
3.3 PRACTICAL IMPLEMENTATION 3 1 6
4 CONCLUSIONS 3 1 7
REFERENCES 318
MODEL PREDICTIVE CONTROL WITH DELAY COMPENSATION FOR AIR-TO-FUEL RATIO
CONTROL 319
SERGIO TRIMBOLI, STEFANO D I CAIRANO, ALBERTO BEMPORAD, AND ILYA V.
KOLMANOVSKY 1 INTRODUCTION 3 2 0
2 MODEL O F A F R AND OXYGEN STORAGE 3 2 2
2.1 AIR-TO-FUEL RATIO DYNAMICS 3 2 2
2.2 OXYGEN STORAGE DYNAMICS 3 2 3
3 MODEL PREDICTIVE CONTROL WITH DELAY COMPENSATION 324
3.1 STATE PREDICTOR 324
3.2 MODEL PREDICTIVE CONTROLLER 3 2 5
4 SIMULATION RESULTS 3 2 7
5 CONCLUSIONS 3 3 0
REFERENCES " 3 3 0
OBSERVER-BASED STABILIZING CONTROL FOR A CLASS O F NONLINEAR RETARDED
SYSTEMS 331
ALFREDO GERMANI, COSTANZO MANES, AND PIERDOMENICO PEPE 1 INTRODUCTION
331
2 PRELIMINARIES 3 3 2
3 SEPARATION THEOREM: GLOBAL RESULTS 3 3 3
4 SEPARATION THEOREM: LOCAL RESULTS 3 3 6
IMAGE 9
CONTENTS
XXIII
5 NUMERICAL EXAMPLE 3 3 9
6 CONCLUSIONS 3 4 0
REFERENCES 341
CASCADE CONTROL FOR TIME DELAY PLANTS 3 4 3
PAVEL ZFTEK, VLADIMIR KUCERA, AND TOMAS VYHLI'DAL 1 INTRODUCTION 3 4 3
2 MEROMORPHIC QUASI-INTEGRATION TRANSFER FUNCTION 3 4 5
3 PARAMETERIZATION BASED DESIGN O F THE SECONDARY CONTROL L O O P 3 4 7
4 MASTER CONTROLLER DESIGN 3 5 0
5 CONCLUDING REMARKS 3 5 4
REFERENCES 354
DESIGN O F TERMINAL COST FUNCTIONALS AND TERMINAL REGIONS FOR M O D E L
PREDICTIVE CONTROL O F NONLINEAR TIME-DELAY SYSTEMS 355
MARCUS REBLE AND FRANK ALLGOWER 1 INTRODUCTION 3 5 5
2 PROBLEM SETUP 3 5 7
3 MODEL PREDICTIVE CONTROL FOR NONLINEAR TIME-DELAY SYSTEMS . . . 3 5 8
4 GENERAL LINEARIZATION-BASED DESIGN 3 6 0
5 DESIGN BY COMBINATION O F LYAPUNOV-KRASOVSKII AND LYAPUNOV-RAZUMIKHIN
ARGUMENTS 3 6 2
6 BRIEF DISCUSSION O F BOTH RESULTS 3 6 4
7 CONCLUSIONS 3 6 5
REFERENCES 3 6 5
PART V NETWORKED CONTROL SYSTEMS AND MULTI-AGENT SYSTEMS
NETWORKED CONTROL UNDER TIME-SYNCHRONIZATION ERRORS 369
ALEXANDRE SEURET AND KARL H. JOHANSSON 1 INTRODUCTION 3 6 9
2 PRELIMINARIES 3 7 0
2.1 DEFINITION O F THE PLANT 371
2.2 SYNCHRONIZATION AND DELAYS M O D E L S 371
3 OBSERVER-BASED NETWORKED CONTROL 3 7 2
4 STABILIZATION UNDER SYNCHRONIZATION ERROR 3 7 3
4.1 CLOSED-LOOP SYSTEM 3 7 3
4.2 STABILITY CRITERIA 3 7 4
5 APPLICATION TO A MOBILE R O B O T 3 7 7
6 CONCLUDING REMARKS 377
7 P R O O F O F THEOREM 1 3 7 8
REFERENCES 381
IMAGE 10
X X I V
CONTENTS
MODELLING AND PREDICTIVE CONGESTION CONTROL O F T C P PROTOCOLS 3 8 3
RAFAEL C. MELO, JEAN-MARIE FARINES, AND JULIO E. NORMEY-RICO 1
INTRODUCTION 3 8 3
2 MODELING T C P CONNECTIONS 3 8 5
2.1 STATIC MODEL 3 8 5
2.2 DYNAMICAL MODEL 3 8 6
2.3 SIMPLE MODEL FOR CONTROL PURPOSES 387
2.4 COMPARATIVE DYNAMICAL M O D E L S SIMULATION RESULTS . . . 3 8 8
3 CONGESTION CONTROL 3 8 9
3.1 CASE STUDY 1: CONTROLLER PERFORMANCE COMPARISON . . . . 3 9 0
3.2 CASE STUDY 2: SAMPLE TIME EFFECTS 3 9 0
3.3 CASE STUDY 3: RTT VARIATION EFFECTS 391
4 CONCLUSION 3 9 2
REFERENCES 3 9 3
DEPENDENCE O F DELAY MARGIN ON NETWORK TOPOLOGY: SINGLE DELAY CASE 395
WEI QIAO AND RIFAT SIPAHI 1 INTRODUCTION 3 9 5
2 PRELIMINARIES 3 9 7
2.1 LINEAR-TIME INVARIANT MODEL WITH DELAYS 397
2.2 STABILITY ANALYSIS 3 9 7
3 NUMERICAL RESULTS 3 9 8
3.1 DEPENDENCE O F DELAY MARGIN ON TOPOLOGY - WEAK DAMPING CASE 3 9 8
3.2 EFFECTS O F TOPOLOGY TRANSITION ON STABILITY 4 0 0
3.3 STABILITY ANALYSIS WITH RESPECT TO D A M P I N G 401
4 CONCLUSION 4 0 3
REFERENCES 4 0 3
CONSENSUS IN NETWORKS UNDER TRANSMISSION DELAYS AND THE NORMALIZED
LAPLACIAN 4 0 7
FATIHCAN M . ATAY 1 INTRODUCTION 4 0 7
2 T H E NORMALIZED LAPLACIAN AND CONSENSUS IN THE ABSENCE OF DELAYS 4 0
9
3 CONSENSUS UNDER TRANSMISSION DELAYS 4 1 0
4 REMARKS . . . . " . 4 1 2
4.1 ZERO EIGENVALUE AND SPANNING TREES 4 1 2
4.2 UNDIRECTED NETWORKS 4 1 3
4.3 NORMALIZED VERSUS NON-NORMALIZED LAPLACIAN 4 1 3
4.4 TRANSMISSION VERSUS PROCESSING DELAYS 4 1 4
4.5 DISTRIBUTED DELAYS, DISCRETE-TIME SYSTEMS 4 1 5
REFERENCES 4 1 5
IMAGE 11
CONTENTS X X V
CONSENSUS WITH CONSTRAINED CONVERGENCE RATE A N D TIME-DELAYS 4 1 7
IRINEL-CONSTANTIN MORARESCU, SILVIU-IULIAN NICULESCU, AND ANTOINE GIRARD
1 INTRODUCTION 4 1 7
2 PRELIMINARIES 4 1 8
2.1 ALGEBRAIC GRAPH THEORY ELEMENTS 4 1 8
2.2 CONSENSUS PROTOCOL 4 1 9
3 CONSENSUS PROBLEM FOR NETWORKS WITH FIXED TOPOLOGY 4 2 1
3.1 CONVERGENCE RESULT 421
3.2 DELAY MARGIN ASSURING A FIXED NETWORK TOPOLOGY . . . . 4 2 3
4 AGREEMENT SPEED IN NETWORKS WITH DYNAMIC TOPOLOGY 4 2 5
5 NUMERICAL EXAMPLES 4 2 7
6 CONCLUSIONS 4 2 8
REFERENCES 4 2 8
//"O CONTROL O F NETWORKED CONTROL SYSTEMS VIA DISCONTINUOUS LYAPUNOV
FUNCTIONALS 4 2 9
KUN LIU AND EMILIA FRIDMAN 1 INTRODUCTION 4 2 9
2 PROBLEM FORMULATION 431
3 MAIN RESULTS 4 3 3
3.1 EXPONENTIAL STABILITY AND L2-GAIN ANALYSIS 4 3 3
3.2 APPLICATION TO NETWORK-BASED
STATIC OUTPUT-FEEDBACK DESIGN 4 3 6
4 EXAMPLES 4 3 7
5 CONCLUSIONS 4 3 9
REFERENCES 4 3 9
INDEX 441 |
| any_adam_object | 1 |
| author2 | Sipahi, Rifat |
| author2_role | edt |
| author2_variant | r s rs |
| author_facet | Sipahi, Rifat |
| building | Verbundindex |
| bvnumber | BV040033777 |
| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)781429258 (DE-599)DNB1016104332 |
| dewey-full | 629.83 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.83 |
| dewey-search | 629.83 |
| dewey-sort | 3629.83 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| genre_facet | Aufsatzsammlung |
| id | DE-604.BV040033777 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:30:08Z |
| institution | BVB |
| isbn | 9783642252204 3642252206 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024890621 |
| oclc_num | 781429258 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | XXV, 442 S. graph. Darst. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Time delay systems methods, applications and new trends Rifat Sipahi ... (eds) Berlin ; Heidelberg Springer 2012 XXV, 442 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 423 Literaturangaben Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Zeitverzögertes System (DE-588)4780926-7 s DE-604 Sipahi, Rifat edt Erscheint auch als Online-Ausgabe Time Delay Systems: Methods, Applications and New Trends Lecture notes in control and information sciences 423 (DE-604)BV005848579 423 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3896847&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024890621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Time delay systems methods, applications and new trends Lecture notes in control and information sciences Zeitverzögertes System (DE-588)4780926-7 gnd |
| subject_GND | (DE-588)4780926-7 (DE-588)4143413-4 |
| title | Time delay systems methods, applications and new trends |
| title_auth | Time delay systems methods, applications and new trends |
| title_exact_search | Time delay systems methods, applications and new trends |
| title_full | Time delay systems methods, applications and new trends Rifat Sipahi ... (eds) |
| title_fullStr | Time delay systems methods, applications and new trends Rifat Sipahi ... (eds) |
| title_full_unstemmed | Time delay systems methods, applications and new trends Rifat Sipahi ... (eds) |
| title_short | Time delay systems |
| title_sort | time delay systems methods applications and new trends |
| title_sub | methods, applications and new trends |
| topic | Zeitverzögertes System (DE-588)4780926-7 gnd |
| topic_facet | Zeitverzögertes System Aufsatzsammlung |
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| volume_link | (DE-604)BV005848579 |
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