Optimization methods and applications:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2001
|
| Series: | Applied optimization
52 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXXVII, 412 S. Ill., graph. Darst. |
| ISBN: | 0792368665 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
OPTIMIZATION METHODS
AND APPLICATIONS
EDITED BY XIAOQI YANG AND KOK LAY TEO
DEPARTMENT OF APPLIED MATHEMATICS, HONG KONG POLYTECHNIC UNIVERSITY,
HONG KONG, CHINA
AND
LOU CACCETTA
SCHOOL OF MATHEMATICS AND STATISTICS, CURTIN UNIVERSITY OF TECHNOLOGY,
AUSTRALIA
KLUWER ACADEMIC PUBLISHERS
DORDRECHT / BOSTON / LONDON
IMAGE 2
CONTENTS
PREFACE XI
AN APPRECIATION OF PROFESSOR N.U. AHMED XIII
A PUBLICATION LIST OF PROFESSOR N.U. AHMED XVII
PART I OPTIMAL CONTROL
1
PRACTICAL STABILITY OF IMPULSIVE DELAY DIFFERENTIAL EQUA- 3
TIONS AND APPLICATIONS TO CONTROL PROBLEMS GEORGE BALLINGER AND XINZHI
LIU 1 INTRODUCTION 4
2 PRELIMINARIES 4
3 MAIN RESULTS 6
4 APPLICATION 10
REFERENCES 21
2
A REVIEW OF ILL-CONDITIONING AND REGULARIZATION IN OPTIMAL 23
CONTROL COMPUTATION FRANCIS BENYAH AND LES S. JENNINGA 1 INTRODUCTION 24
2 OPTIMAL CONTROL PROBLEM TEMPLATE FOR MISER3 25
3 CONTROL PARAMETRIZATION 26
4 STATE DISCRETIZATION METHODS 27
5 CONDITION NUMBERS FOR CONSTRAINED OPTIMIZATION 30
6 TEST PROBLEM 1 32
7 REGULARIZATION OF OPTIMAL CONTROL PROBLEMS 35
8 TEST PROBLEM 2: THE CONTAINER CRANE PROBLEM 39
9 CONCLUSIONS 40
REFERENCES 42
3
WORST-CASE OPTIMAL REGULATION OF LINEAR SYSTEMS 45
IN THE PRESENCE OF STRUCTURED PERTURBATIONS SMVJ K. BISWAS AND M. BALA
SUBMHMANYAM 1 INTRODUCTION 46
2 PROBLEM STATEMENT 47
3 OPTIMAL SOLUTION 50
IMAGE 3
VI OPTIMIZATION METHODSAND APPLICATIONS
4 COMPUTATION OF DISTURBANCE REJECTION CAPACITY 57
5 EXAMPLES 58
6 CONCLUSIONS 61
REFERENCES 61
4
TRUE PROPORTIONAL NAVIGATION SYSTEM WITH ACCELERATION 65
SATURATION CONSTRAINT CHENG-CHEW LIM. AND MINGYAN LI 1 INTRODUCTION 66
2 SYSTEM MODEL 66
3 SATURATION CONSTRAINT ANALYSIS 68
4 OBSERVABILITY WITH SATURATION CONSTRAINT 74
5 SIMULATION RESULTS 76
6 CONCLUSIONS 79
REFERENCES 79
5
EVALUATION OF PENALTY FUNCTIONS FOR OPTIMAL CONTROL 81
REIN LAUS, WIC.HA.YA MEKARAPIRUK AND COLIN STOREY 1 INTRODUCTION 82
2 PROBLEM FORMULATION 82
3 ITERATIVE DYNAMIC PROGRAMMING (IDP) 84
4 NUMERICAL RESULTS 86
5 CONCLUDING REMARKS 100
REFERENCES 102
6
ON THE OPTIMAL CONTROL SYSTEMS WITH MULTIPLE CONTROLLERS 105 KATSUMI
MOII.WA.KI
1 INTRODUCTION 106
2 OPTIMAL REGULATOR AND PRELIMINARIES 107
3 LQR PROBLEM WITH 2 CONTROLLERS 109
4 CONTROLLERS DECOUPLING VIA INTERNALLY BAIANCED STATE SPACE
REPRESENTATIONS 115
5 NUMERICAL EXAMPLES AND DISCUSSIONS 118
6 CONCLUSION 122
REFERENCES 123
7
MULTILEVEL OPTIMIZATION OF OPTIMAL CONTROL PROBLEMS 125
VOLKER REHBOCK
1 INTRODUCTION 126
2 GENERAL PROBLEM 128
3 MULTILEVEL APPROACH 128
4 IMPLEMENTATION 131
5 NUMERICAL RESULTS 133
IMAGE 4
CONTENTS
VLL
1
2
3
4
5
INTRODUCTION
DIRECT GRADIENT DESCENT CONTROL MODIFIED DIRECT GRADIENT DESCENT CONTROL
SIMULATION CONCLUDING REMARKS
REFERENCES APPENDIX: STABILITY
6 PARALLEL IMPLEMENTATION 136
7 CONCLUSIONS 137
REFERENCES 138
8
MODIFIED DIRECT GRADIENT DESCENT CONTROL OF NONLINEAR 139
SYSTEMS K. SHIMIZU, S. ITO AND K. OTSUKA
140 140 142 144
146
146 148
9
COMPUTATION OF FEEDBACK CONTROL FOR INFINITE TIME OPTI- 151
MAL CONTROL PROBLEMS K.H. WONG AND G. PETER 1 INTRODUCTION 152
2 PROBLEM STATEMENT 153
3 THE APPROXIMATION PROBLEM (P(T)) 153
4 SYNTHESIZING THE OPTIMAL FEEDBACK CONTROL LAW FOR THE APPROXIMATE
PROB LEM (P(T)) 154
5 INTERPOLATION USING A CUBIC SPLINE APPROACH ON THE FITTING DOMAIN T F
156
6 CREATING AN APPROXIMATE PROBLEM USING CUBIC SPLINE FEEDBACK STRUCTURE
ON THE DOMAIN U^, 157
7 PROPERTIES OF ASYMPTOTIC STABILITY OF THE OPTIMAL CONTROL FEEDBACK
CONTROL OF THE PROBLEM (Q) 158
8 FINITE TIME APPROXIMATION TO THE PROBLEM (Q) 159
9 A PRACTICAL EXAMPLE 159
REFERENCES 163
PART II OPTIMIZATION METHODS
10 A HOMOGENIZED CUTTING PLANE METHOD TO SOLVE THE CONVEX 167
FEASIBILITY PROBLEM E. D. ANDERSEN, J. E. MITCHELL, C. ROOS AND T.
TERLAKY 1 INTRODUCTION 168
2 BARRIER FUNCTIONS AND PROXIMITY MEASURES 169
3 A COLUMN GENERATION METHOD 171
4 CHOOSING A RESTART POINT 175
5 GLOBAL CONVERGENCE 178
6 AN IMPLEMENTATION 179
7 COMPUTATIONAL RESULTS 185
IMAGE 5
VIII OPTIMIZATION METHODSAND APPLICATIONS
8 CONCLUSIONS 188
REFERENCES 189
11 ALGORITHMS FOR SOME HARD KNAPSACK PROBLEMS 191
LOUIS CACCR.TTA AND ARAYA KULANOOT 1 INTRODUCTION 192
2 PRELIMINARIES 195
3 SUBSET SUM PROBLEM (SSP) 197
4 STRONGLY CORRELATED PROBLEM (SCKP) 201
5 INVERSE STRONGLY CORRELATED KNAPSACK PROBLEM (ISCKP) 205
6 BOUNDED KNAPSACK PROBLEM (BKP) 207
7 CONCLUSIONS 214
REFERENCES 214
12 NON-STATIC NETWORK OPTIMIZATION PROBLEMS: A SURVEY 219
X. CAI, D. SHA AND C. K. WON;/ 1 INTRODUCTION 220
2 THE NON-STATIC NETWORK FLOW MODEL 220
3 NON-STATIC SHORTEST PATH PROBLEMS 224
4 NON-STATIC MAXIMUM FLOW PROBLEMS 227
5 NON-STATIC MINIMUM COST FLOW PROBLEMS 230
6 NON-STATIC VEHICLE ROUTING PROBLEMS 233
7 OTHER NON-STATIC NETWORK OPTIMIZATION PROBLEMS 236
8 CONCLUSIONS 237
REFERENCES 238
13 ASYMPTOTIC RATES OF CONVERGENCE OF SQP-TYPE METHODS OF 247 FEASIBLE
DIRECTIONS
MICHAEL M. KOSTREVA AND XIBIN CHE.N 1 INTRODUCTION 248
2 DEFINITIONS AND PROPOSITIONS 250
3 ASYMPTOTIC RATE OF CONVERGENCE 254
4 COMPARISON OF CONVERGENCE RATES 262
5 CONCLUSIONS 263
REFERENCES 264
14 NONLINEAR LAGRANGIAN METHODS IN CONSTRAINED NONLINEAR 267
OPTIMIZATION DUAN LI AND XIAOLIN SUN
1 INTRODUCTION 268
2 P-TH POWER LAGRANGIAN METHOD 270
3 MINIMAX-TYPE LAGRANGIAN FUNCTION 271
4 LOGARITHMIC-EXPONENTIAL LAGRANGIAN FUNCTION 274
IMAGE 6
CONTENTS IX
5 CONCLUSIONS 276
REFERENCES 276
15 PARALLEL ALGORITHMS FOR SOLVING LARGE-SCALE NONLINEAR OP- 279
TIMIZATION PROBLEMS PAUL KANG-HOH PIRNA, DAOHUA MING, WEIGUO FAN AND YAN
ZHANG
1 CONVENTIONAL METHODS FOR NONLINEAR OPTIMIZATION 280
2 PARALLEL QUASI-NEWTON ALGORITHMS 281
3 VECTORIZATION AND FINE-TUNING TECHNIQUES 284
4 COMPUTATIONAL RESULTS 288
REFERENCES 293
16 SECOND ORDER STRICT CONVERSE DUALITY IN NONLINEAR FRAC- 295
TIONAL PROGRAMMING XIN MIN YANG, KOK LAG TEO AND XIAOQI YANG 1
INTRODUCTION AND PRELIMINARIES 296
2 SECOND ORDER STRICT CONVERSE DUALITY I 298
3 SECOND ORDER STRICT CONVERSE DUALITY II 302
REFERENCES 305
PART III OPTIMIZATION APPLICATIONS
17 CHEBYSHEV OPTIMIZATION OF CIRCULAR ARRAYS 309
MATTIAS DAHL, INGVAR CLAESSON, SVEN NORDEBO AND SVEN NORDHOLM, 1
INTRODUCTION 310
2 PROBLEM FORMULATION 311
3 THE COMPLEX CHEBYSHEV APPROXIMATION PROBLEM AS A SEMI-INFINITE LINEAR
PROGRAM 312
4 SEMI-INFINITE LINEAR PROGRAMMING 313
5 BRIEF OUTLINE OF LINEAR PROGRAMMING 315
6 NUMERICAL EXAMPLE 316
7 SUMMARY 317
REFERENCES 317
18 OPTIMUM POLE POSITION FOR DIGITAL LAGUERRE NETWORK WITH 321
LEAST SQUARE ERROR CRITERION H. H. DAM, KOK LAG TTO, YANQUN LIU AND S.
NORDEBO 1 INTRODUCTION 322
2 PROBLEM FORMULATION 322
3 OPTIMIZATION METHOD 324
4 SIMULATION STUDIES 326
5 CONCLUSIONS 328
REFERENCES 329
IMAGE 7
X OPTIMIZATION METHODS AND APPLICATIONS
19 A MARKOV MODEL FOR THE STOCHASTIC OPTIMAL CONTROL OF A 331
SOLAR POWERED CAR PHIL HOWLETT 1 INTRODUCTION 332
2 FORMULATION 332
3 A RECURSIVE EQUATION FOR THE OPTIMAL CONTROLS 333
4 THE PROPERTIES OF THE OPTIMAL CONTROLS 336
5 SOME ELEMENTARY EXAMPLES 338
6 CONCLUSIONS 341
REFERENCES 341
20 THE PERSONNEL TASK SCHEDULING PROBLEM 343
MOHAN KRISHNAMOORTHY AND ANDREAS T ERNST
344 344 348 357 359 362 366
367
21 ENVELOPE CONSTRAINED FILTER DESIGN: ROBUSTNESS ISSUES 369
B. VO AND A. CANTONI 1 INTRODUCTION 370
2 ENVELOPE CONSTRAINED FILTERING 372
3 ROBUSTNESS ISSUES 380
4 CONCLUSIONS 395
REFERENCES 395
22 A ROBUST NUMERICAL ALGORITHM FOR THE OPTIMAL CONTROL OF 399
HEAT TRANSFER IN THE CONTINUOUS CASTING OF STEEL Y.H. WU, M. CHUEDOUNG
AND G. ZHANG 1 INTRODUCTION 400
2 HEAT TRANSFER MODEL 401
3 STATEMENT OF THE OPTIMAL CONTROL PROBLEM 403
4 NUMERICAL METHOD FOR THE OPTIMAL CONTROL PROBLEM 404
5 NUMERICAL APPROXIMATION OF THE JACOBIAN MATRIX 406
6 NUMERICAL ALGORITHM 407
7 AN ILLUSTRATIVE EXAMPLE 408
8 CONCLUSIONS 410
1
2
3
4
5
6
7
INTRODUCTION THE PTSP VARIANTS OF THE PTSP LITERATURE REVIEW
APPLICATIONS TEST DATA CONCLUSIONS
REFERENCES
REFERENCES 411
|
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| id | DE-604.BV013919999 |
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| indexdate | 2024-07-09T18:54:25Z |
| institution | BVB |
| isbn | 0792368665 |
| language | English |
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| physical | XXXVII, 412 S. Ill., graph. Darst. |
| publishDate | 2001 |
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| series | Applied optimization |
| series2 | Applied optimization |
| spelling | Optimization methods and applications ed. by Xiaoqi Yang ... Dordrecht [u.a.] Kluwer Acad. Publ. 2001 XXXVII, 412 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied optimization 52 Control, Teoría del Controleleer gtt Optimaliseren gtt Optimización matemática Control theory Mathematical optimization Optimierung (DE-588)4043664-0 gnd rswk-swf Bibliografie (DE-588)4006432-3 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Ahmed, Nasir U. gnd rswk-swf Optimierung (DE-588)4043664-0 s DE-604 Optimale Kontrolle (DE-588)4121428-6 s Ahmed, Nasir U. f Bibliografie (DE-588)4006432-3 s Yang, Xiaoqi Sonstige oth Applied optimization 52 (DE-604)BV010841718 52 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009524407&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Optimization methods and applications Applied optimization Control, Teoría del Controleleer gtt Optimaliseren gtt Optimización matemática Control theory Mathematical optimization Optimierung (DE-588)4043664-0 gnd Bibliografie (DE-588)4006432-3 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4006432-3 (DE-588)4121428-6 (DE-588)4143413-4 |
| title | Optimization methods and applications |
| title_auth | Optimization methods and applications |
| title_exact_search | Optimization methods and applications |
| title_full | Optimization methods and applications ed. by Xiaoqi Yang ... |
| title_fullStr | Optimization methods and applications ed. by Xiaoqi Yang ... |
| title_full_unstemmed | Optimization methods and applications ed. by Xiaoqi Yang ... |
| title_short | Optimization methods and applications |
| title_sort | optimization methods and applications |
| topic | Control, Teoría del Controleleer gtt Optimaliseren gtt Optimización matemática Control theory Mathematical optimization Optimierung (DE-588)4043664-0 gnd Bibliografie (DE-588)4006432-3 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Control, Teoría del Controleleer Optimaliseren Optimización matemática Control theory Mathematical optimization Optimierung Bibliografie Optimale Kontrolle Aufsatzsammlung Ahmed, Nasir U. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009524407&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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