Directions in mathematical systems theory and optimization:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa
Springer
2003
|
| Schriftenreihe: | Lecture notes in control and information sciences
286 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 389 S. Ill, graph. Darst. |
| ISBN: | 3540000658 |
Internformat
MARC
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| 245 | 1 | 0 | |a Directions in mathematical systems theory and optimization |c Anders Rantzer ... (eds.) |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa |b Springer |c 2003 | |
| 300 | |a XIII, 389 S. |b Ill, graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in control and information sciences |v 286 | |
| 650 | 4 | |a Optimisation mathématique | |
| 650 | 4 | |a Systèmes, Théorie des | |
| 650 | 4 | |a Mathematical optimization | |
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Datensatz im Suchindex
| _version_ | 1804129606757777408 |
|---|---|
| adam_text | Contents
1. Systems with Lebesgue Sampling 1
Karl Johan Astrom, Bo Bernhardsson
1.1 Introduction 2
1.2 Examples of Systems with Lebesgue Sampling 2
1.3 A Simple Example 4
1.4 A First Order System 6
1.5 Conclusions 11
1.6 References 12
2. Acoustic Attenuation Employing Variable Wall Admittance ... 15
H. T. Banks, K. M. Furati, K. Ito, N. S. Luke, C. J. Smith
2.1 Introduction 16
2.2 Problem Formulation 16
2.3 Frequency Domain and Approximation 17
2.4 Instantaneous Total Energy and Damping 21
2.5 Computational Results 22
2.6 Concluding Remarks 26
2.7 References 26
3. Some Remarks on Linear Filtering Theory for Infinite
Dimensional Systems 27
Alain Bensoussan
3.1 Introduction 28
3.2 Linear Random Functionals 28
3.3 Description of the Model and Statement of the Problem 30
3.4 Obtaining the Best Estimate 34
3.5 Final Form. Decoupling Theory 38
3.6 References 39
4. A Note on Stochastic Dissipativeness 41
Vivek S. Borkar, Sanjoy K. Mitter
4.1 Introduction 42
4.2 Notation and Definitions 42
4.3 Connections to Ergodic Control 46
4.4 References 49
5. Internal Model Based Design for the Suppression of Harmonic
Disturbances 51
Christopher I. Byrnes, David S. Gilliam, Alberto Isidori, Yutaka Ikeda,
Lorenzo Marconi
5.1 Introduction 52
5.2 The Case of a SISO System 53
5.3 A Numerical Example of Take Off and Landing 57
5.4 Remarks on the Internal Model Principle 62
X Contents
5.5 The Case of a MIMO System 63
5.6 References 69
6. Conditional Orthogonality and Conditional Stochastic
Realization 71
Peter E. Caines, R. Deardon, H. P. Wynn
6.1 Introduction 72
6.2 Main Results 73
6.3 References 84
7. Geometry of Oblique Splitting Subspaces, Minimality, and
Hankel Operators 85
Alessandro Chiuso, Giorgio Pied
7.1 Introduction 86
7.2 Oblique Projections 87
7.3 Notations and Basic Assumptions 89
7.4 Oblique Markovian Splitting Subspaces 92
7.5 Acausality of Realizations with Feedback 100
7.6 Scattering Representations of Oblique Markovian Splitting
Subspaces 105
7.7 Stochastic Realization in the Absence of Feedback 109
7.8 Reconciliation with Stochastic Realization Theory 120
7.9 Conclusions 124
7.10 References 124
8. Linear Fractional Transformations 127
Harry Dym
8.1 A Problem 128
8.2 A Solution 128
8.3 An Application 129
8.4 References 133
9. Structured Covariances and Related Approximation Questions . 135
Tryphon T. Georgiou
9.1 Introduction 136
9.2 Structured Covariances 136
9.3 Sample Covariances and the Approximation Problem 137
9.4 Concluding Remarks 139
9.5 References 139
10. Risk Sensitive Identification of ARMA Processes 141
Ldszlo Gerencser, Gyorgy Michaletzky
10.1 Weighted Recursive Prediction Error Identification 142
10.2 A Risk Sensitive Criterion 144
10.3 The Minimization of J{K) 146
10.4 Alternative Expressions for J(K) 149
10.5 Multivariable Systems 154
10.6 Bibliography 157
11. Input Tracking and Output Fusion for Linear Systems 159
Xiaoming Hu, Ulf Jonsson, Clyde F, Martin
11.1 Introduction 160
Contents XI
11.2 Autonomous Linear Systems 160
11.3 Exact Input Tracking 163
11.4 Output Fusion for Input Tracking 166
11.5 Concluding Remarks 171
11.6 References 172
12. The Convergence of the Extended Kalman Filter 173
Arthur J. Krener
12.1 Introduction 174
12.2 Proof of the Main Theorem 177
12.3 Conclusions 181
12.4 References 182
13. On the Separation of Two Degree of Freedom Controller and
Its Application to Hx, Control for Systems with Time Delay . . 183
Yohei Kuroiwa, Hidenori Kimura
13.1 Introduction 184
13.2 System Description and Compensator Structure 185
13.3 Application of Hx Control to Systems with Time Delay 186
13.4 Conclusion 189
14. The Principle of Optimality in Measurement Feedback Control
for Linear Systems 193
Alexander B. Kurzhanski
14.1 Introduction 194
14.2 The Basic Problem and the Cost Functional 194
14.3 Guaranteed (Set Membership) Estimation 195
14.4 Control Synthesis for the Set Valued Control System 198
14.5 Solution through Duality Techniques 199
14.6 References 202
15. Linear System Identification as Curve Fitting 203
Lennart Ljung
15.1 Introduction 204
15.2 Curve Fitting 204
15.3 Linear Dynamic Models 207
15.4 Fitting the Frequency Function Curve by Local Methods .... 210
15.5 Fitting the Frequency Function by Parametric Methods 211
15.6 Conclusions 214
15.7 References 214
16. Optimal Model Order Reduction for Maximal Real Part Norms 217
A. Megretski
16.1 Introduction 218
16.2 Maximal Real Part Model Reduction 219
16.3 H Infinity Modeling Error Bounds 223
16.4 Minor Improvements and Numerical Experiments 224
17. Quantum Schrodinger Bridges 227
Michele Pavon
17.1 Introduction: Schrodinger s Problem 228
17.2 Elements of Nelson Follmer Kinematics of Finite Energy Diffusions 229
XII Contents
17.3 Schrodinger Bridges 231
17.4 Elements of Nelson s Stochastic Mechanics 232
17.5 Quantum Schrodinger Bridges 233
17.6 Collapse of the Wavefunction 235
17.7 Conclusion and Outlook 235
17.8 References 236
18. Segmentation of Diffusion Tensor Imagery 239
Eric Pichon, Guillermo Sapiro, Allen Tannenbaum
18.1 Introduction 240
18.2 Active Contours and Diffusion Tensor Imaging 241
18.3 Conclusions 245
18.4 Bibliography 246
19. Robust Linear Algebra and Robust Aperiodicity 249
Boris T. Polyak
19.1 Introduction 250
19.2 Matrix Norms and Preliminaries 250
19.3 Solution Set of Perturbed Linear Algebraic Equations 252
19.4 Nonsingularity Radius 254
19.5 Real Pseudospectrum 255
19.6 Aperiodicity Radius 258
19.7 Conclusions 258
19.8 References 259
20. On Homogeneous Density Functions 261
Stephen Prajna, Anders Rantzer
20.1 Introduction 262
20.2 Preliminaries 262
20.3 Homogeneous Density Functions for Homogeneous Systems . . . 265
20.4 Perturbations by Higher and Lower Order Terms 272
20.5 Conclusions 273
20.6 References 273
21. Stabilization by Collocated Feedback 275
OlofJ. Staffans
21.1 Introduction 276
21.2 Infinite Dimensional Linear Systems 277
21.3 Passive and Conservative Scattering and Impedance Systems . . 280
21.4 Flow Inversion 284
21.5 The Diagonal Transform 289
21.6 References 291
22. High Order Open Mapping Theorems 293
Hector J. Sussmann
22.1 Introduction 294
22.2 Preliminaries 298
22.3 The Finite Dimensional Theorem 301
22.4 The Infinite Dimensional Theorem 303
22.5 Second Order Open Mapping Theorems 308
22.6 References 315
Contents XIII
23. New Integrability Conditions for Classifying Holonomic and
Nonholonomic Systems 317
Tzyh Jong Tarn, Mingjun Zhang, Andrea Serrani
23.1 Introduction 318
23.2 Previous Work on Integrability Conditions 318
23.3 New Integrability Conditions 323
23.4 Applications of the New Conditions 329
23.5 Conclusions 330
23.6 References 331
24. On Spectral Analysis Using Models with Pre specifled Zeros . . 333
Bo Wahlberg
24.1 Introduction and Problem Formulation 334
24.2 Orthonormal Rational Functions 336
24.3 Least Squares Estimation 338
24.4 The Covariance Extension Problem 341
24.5 Conclusion and Future Work 343
24.6 References 343
25. Balanced State Representations with Polynomial Algebra . . . 345
Jan C. Willems, Paolo Rapisarda
25.1 Introduction 346
25.2 The System Equations 347
25.3 The Controllability and Observability Gramians 348
25.4 Balanced State Representation 351
25.5 Comments 353
25.6 Appendix 355
25.7 References 357
26. Nonconvex Global Optimization Problems: Constrained
Infinite Horizon Linear Quadratic Control Problems for
Discrete Systems 359
V.A. Yakubovich
26.1 Introduction 360
26.2 A Method for Solving Constrained Linear Quadratic Problems
(Abstract Theory) 360
26.3 Linear Quadratic Deterministic Infinite Horizon Constrained
Optimization Problem 365
26.4 Linear Quadratic Stochastic Infinite Horizon Optimization
Problem with White Noise Disturbance 372
26.5 Appendix. (Discrete KYP Lemma.) The Frequency Domain Method
to Solve Discrete Lur e Riccati Equations 378
26.6 References 381
Author List 383
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| spelling | Directions in mathematical systems theory and optimization Anders Rantzer ... (eds.) Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa Springer 2003 XIII, 389 S. Ill, graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 286 Optimisation mathématique Systèmes, Théorie des Mathematical optimization System theory Systemtheorie (DE-588)4058812-9 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Systemtheorie (DE-588)4058812-9 s DE-604 Optimierung (DE-588)4043664-0 s Rantzer, Anders Sonstige oth Lecture notes in control and information sciences 286 (DE-604)BV005848579 286 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010038511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Directions in mathematical systems theory and optimization Lecture notes in control and information sciences Optimisation mathématique Systèmes, Théorie des Mathematical optimization System theory Systemtheorie (DE-588)4058812-9 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4058812-9 (DE-588)4043664-0 (DE-588)4143413-4 |
| title | Directions in mathematical systems theory and optimization |
| title_auth | Directions in mathematical systems theory and optimization |
| title_exact_search | Directions in mathematical systems theory and optimization |
| title_full | Directions in mathematical systems theory and optimization Anders Rantzer ... (eds.) |
| title_fullStr | Directions in mathematical systems theory and optimization Anders Rantzer ... (eds.) |
| title_full_unstemmed | Directions in mathematical systems theory and optimization Anders Rantzer ... (eds.) |
| title_short | Directions in mathematical systems theory and optimization |
| title_sort | directions in mathematical systems theory and optimization |
| topic | Optimisation mathématique Systèmes, Théorie des Mathematical optimization System theory Systemtheorie (DE-588)4058812-9 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Optimisation mathématique Systèmes, Théorie des Mathematical optimization System theory Systemtheorie Optimierung Aufsatzsammlung |
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