Ellipsoidal calculus for estimation and control:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Boston u.a.
Birkhäuser
1997
|
| Schriftenreihe: | Systems & control
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 321 S. graph. Darst. |
| ISBN: | 3764336994 0817636994 |
Internformat
MARC
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| 100 | 1 | |a Kuržanskij, Aleksandr B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Ellipsoidal calculus for estimation and control |c Alexander Kurzhanski ; István Vályi |
| 264 | 1 | |a Boston u.a. |b Birkhäuser |c 1997 | |
| 300 | |a XV, 321 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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Datensatz im Suchindex
| _version_ | 1804125678155595776 |
|---|---|
| adam_text | Contents
Preface ix
Part I. EVOLUTION and CONTROL:
The EXACT THEORY 1
Introduction 1
1.1 The System 4
1.2 Attainability and the Solution Tubes 8
1.3 The Evolution Equation 11
1.4 The Problem of Control Synthesis:
A Solution Through Set Valued Techniques 19
1.5 Control Synthesis Through
Dynamic Programming Techniques 28
1.6 Uncertain Systems: Attainability Under Uncertainty ... 36
1.7 Uncertain Systems: The Solvability Tubes 43
1.8 Control Synthesis Under Uncertainty 49
1.9 State Constraints and Viability 57
1.10 Control Synthesis Under State Constraints 64
vi Contents
1.11 State Constrained Uncertain Systems:
Viability Under Counteraction 69
1.12 Guaranteed State Estimation:
The Bounding Approach 72
1.13 Synopsis 80
1.14 Why Ellipsoids? 86
Part II. THE ELLIPSOIDAL CALCULUS 91
Introduction 91
2.1 Basic Notions: The Ellipsoids 93
2.2 External Approximations: The Sums
Internal Approximations: The Differences 104
2.3 Internal Approximations: The Sums
External Approximations: The Differences 121
2.4 Sums and Differences: The Exact Representation 128
2.5 The Selection of Optimal Ellipsoids 132
2.6 Intersections of Ellipsoids 143
2.7 Finite Sums and Integrals: External Approximations . . . 161
2.8 Finite Sums and Integrals: Internal Approximations . . . 170
Part III. ELLIPSOIDAL DYNAMICS:
EVOLUTION and CONTROL SYNTHESIS 177
Introduction 177
3.1 Ellipsoidal Valued Constraints 178
3.2 Attainability Sets and Attainability Tubes:
The External and Internal Approximations 182
Contents vii
3.3 Evolution Equations with Ellipsoidal Valued Solutions . . 190
3.4 Solvability in Absence of Uncertainty 194
3.5 Solvability Under Uncertainty 198
3.6 Control Synthesis Through Ellipsoidal Techniques .... 208
3.7 Control Synthesis: Numerical Examples 214
3.8 Ellipsoidal Control Synthesis for Uncertain Systems . . . 225
3.9 Control Synthesis for Uncertain Systems:
Numerical Examples 230
3.10 Target Control Synthesis Within Free Time Interval . . . 242
Part IV. ELLIPSOIDAL DYNAMICS: STATE
ESTIMATION and VIABILITY PROBLEMS 247
Introduction 247
4.1 Guaranteed State Estimation:
A Dynamic Programming Perspective 249
4.2 From Dynamic Programming
to Ellipsoidal State Estimates 259
4.3 The State Estimates, Error Bounds, and Error Sets .... 264
4.4 Attainability Revisited:
Viability Through Ellipsoids 268
4.5 The Dynamics of Information Domains:
State Estimation as a Tracking Problem 273
4.6 Discontinuous Measurements and
the Singular Perturbation Technique 285
Bibliography 291
Index 319
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:05:22Z |
| institution | BVB |
| isbn | 3764336994 0817636994 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007499093 |
| oclc_num | 247304284 |
| open_access_boolean | |
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| physical | XV, 321 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Systems & control |
| spelling | Kuržanskij, Aleksandr B. Verfasser aut Ellipsoidal calculus for estimation and control Alexander Kurzhanski ; István Vályi Boston u.a. Birkhäuser 1997 XV, 321 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Systems & control Zustandsschätzung (DE-588)4129826-3 gnd rswk-swf Zeitvariantes System (DE-588)4190654-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Ellipsoidmethode (DE-588)4130558-9 gnd rswk-swf Unschärfe (DE-588)4273405-8 gnd rswk-swf Zeitvariantes System (DE-588)4190654-8 s Unschärfe (DE-588)4273405-8 s Zustandsschätzung (DE-588)4129826-3 s Kontrolltheorie (DE-588)4032317-1 s Ellipsoidmethode (DE-588)4130558-9 s DE-604 Vályi, István Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007499093&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuržanskij, Aleksandr B. Vályi, István Ellipsoidal calculus for estimation and control Zustandsschätzung (DE-588)4129826-3 gnd Zeitvariantes System (DE-588)4190654-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd Ellipsoidmethode (DE-588)4130558-9 gnd Unschärfe (DE-588)4273405-8 gnd |
| subject_GND | (DE-588)4129826-3 (DE-588)4190654-8 (DE-588)4032317-1 (DE-588)4130558-9 (DE-588)4273405-8 |
| title | Ellipsoidal calculus for estimation and control |
| title_auth | Ellipsoidal calculus for estimation and control |
| title_exact_search | Ellipsoidal calculus for estimation and control |
| title_full | Ellipsoidal calculus for estimation and control Alexander Kurzhanski ; István Vályi |
| title_fullStr | Ellipsoidal calculus for estimation and control Alexander Kurzhanski ; István Vályi |
| title_full_unstemmed | Ellipsoidal calculus for estimation and control Alexander Kurzhanski ; István Vályi |
| title_short | Ellipsoidal calculus for estimation and control |
| title_sort | ellipsoidal calculus for estimation and control |
| topic | Zustandsschätzung (DE-588)4129826-3 gnd Zeitvariantes System (DE-588)4190654-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd Ellipsoidmethode (DE-588)4130558-9 gnd Unschärfe (DE-588)4273405-8 gnd |
| topic_facet | Zustandsschätzung Zeitvariantes System Kontrolltheorie Ellipsoidmethode Unschärfe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007499093&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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