Phase portraits of control dynamical systems
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer
1991
|
| Schriftenreihe: | Mathematics and its applications / Soviet series
63. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 240 | 1 | 0 | |a Fazove portrety upravljaemych dinamičeskich sistem |
| 245 | 1 | 0 | |a Phase portraits of control dynamical systems |c by Anatoliy G. Butkovskiy |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1991 | |
| 300 | |a IX, 170 S. |b graph. Darst. | ||
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| 650 | 4 | |a Système dynamique différentiel | |
| 650 | 7 | |a Systèmes dynamiques différentiables |2 ram | |
| 650 | 4 | |a Variété invariante | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Differentiable dynamical systems | |
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Datensatz im Suchindex
| _version_ | 1819725026770812928 |
|---|---|
| adam_text | CONTENTS
Series Editor s Preface v
Preface to the Soviet Edition 1
§ 1. Introduction 3
§ 2. Controllable Dynamical System (CDS) 9
§ 3. Differential Inclusion. Equivalence Classes of CDS 11
§ 4. Transformation of CDS to Phase Velocity Unit Vectors 16
§ 5. IndicatrixofCDS 18
§ 6. Degree of Freedom in Control of CDS 21
§ 7. The Hamiltonian of CDS as a Support Function 24
§ 8. Types of Cones of Admissible Direction of CDS 28
§ 9. Domain of Free Trajectories of CDS 33
§10. The Principle of Inclusion in the Event Space 35
§11. The Boundary of an Integral Funnels of a Differential Inclusion 36
§ 12. Relationship of the Boundary of an Integral Funnel with the Hamiltonian
Jacobi Equation 39
§ 13. The Principle of Inclusion for an Autonomous CDS in the State Space
Integration of CDS 42
§ 14. Boundary of the Trajectory Funnel of CDS 44
§ 15. Geometrical Construction of the Boundary of Trajectory Funnel 48
§ 16. The Euler Lagrange Equation for the Boundary of Trajectory Funnel 50
viii CONTENTS
§ 17. Hatched Boundaries of Trajectory Funnels Manifold of Reverse Hatching
(MRH) 54
§ 18. Singular Manifolds of CDS in State Space 57
§19. Invariant Manifold of CDS 61
§ 20. Singular and Invariant Manifolds of Linear CDS 68
§21. Domain of Free Trajectories on Invariant Manifolds 74
§ 22. Trajectories Funnel on Invariant Manifolds 78
§ 23. Separating Hypersurfaces in State Spaces 83
§ 24. Admissible Manifolds of CDS in State Space 86
§ 25. Phase Portrait of CDS 88
§ 26. Transient and Relative Motion of CDS 90
§ 27. CDS with Ellipsoidal Indicatrix 92
§ 28. CDS and Continuous Non Linear Media. The Principle of Maximum of
Flows of Substance. Laplace Operator of CDS 94
§ 29. CDS and Finsler Metric 103
§ 30. Optical Analogue of CDS 105
§31. Correspondence between CDSs and Mechanical Systems 107
§ 32. CDS Subject to Phase Constraints 118
§ 33. Singular Sets of Two Dimensional CDSs 120
§ 34. Phase Portrait of CDS on Two Dimensional Manifolds 122
§ 35. Examples on Construction of Phase Portrait of Two Dimensional CDS 127
§ 36. Phase Portrait of Two Level Quantum Mechanical CDS 136
CONTENTS ix
§ 37. Example of Decomposable Bilinear CDS in Three Dimensional Space 140
§ 38. Controllability of General Bilinear CDS on Plane 145
§ 39. Trajectory Funnel in Backward Time 154
§ 40. Optimal Control 156
Bibliography 161
Index 169
|
| any_adam_object | 1 |
| author | Butkovskij, Anatolij G. |
| author_facet | Butkovskij, Anatolij G. |
| author_role | aut |
| author_sort | Butkovskij, Anatolij G. |
| author_variant | a g b ag agb |
| building | Verbundindex |
| bvnumber | BV006594699 |
| callnumber-first | Q - Science |
| callnumber-label | QA614 |
| callnumber-raw | QA614.8 |
| callnumber-search | QA614.8 |
| callnumber-sort | QA 3614.8 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 880 |
| ctrlnum | (OCoLC)22702974 (DE-599)BVBBV006594699 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006594699 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T12:13:25Z |
| institution | BVB |
| isbn | 0792310578 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004210841 |
| oclc_num | 22702974 |
| open_access_boolean | |
| owner | DE-739 DE-703 DE-706 |
| owner_facet | DE-739 DE-703 DE-706 |
| physical | IX, 170 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Kluwer |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spellingShingle | Butkovskij, Anatolij G. Phase portraits of control dynamical systems Commande, Théorie de la Commande, théorie de la ram Diagramme phase Dynamique différentiable Espace état Inclusion différentielle Système dynamique contrôlable Système dynamique différentiel Systèmes dynamiques différentiables ram Variété invariante Control theory Differentiable dynamical systems Berechnung (DE-588)4120997-7 gnd Steuerung (DE-588)4057472-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Phase Thermodynamik (DE-588)4263270-5 gnd Schaltung (DE-588)4052056-0 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4120997-7 (DE-588)4057472-6 (DE-588)4137931-7 (DE-588)4263270-5 (DE-588)4052056-0 (DE-588)4013396-5 (DE-588)4032317-1 |
| title | Phase portraits of control dynamical systems |
| title_alt | Fazove portrety upravljaemych dinamičeskich sistem |
| title_auth | Phase portraits of control dynamical systems |
| title_exact_search | Phase portraits of control dynamical systems |
| title_full | Phase portraits of control dynamical systems by Anatoliy G. Butkovskiy |
| title_fullStr | Phase portraits of control dynamical systems by Anatoliy G. Butkovskiy |
| title_full_unstemmed | Phase portraits of control dynamical systems by Anatoliy G. Butkovskiy |
| title_short | Phase portraits of control dynamical systems |
| title_sort | phase portraits of control dynamical systems |
| topic | Commande, Théorie de la Commande, théorie de la ram Diagramme phase Dynamique différentiable Espace état Inclusion différentielle Système dynamique contrôlable Système dynamique différentiel Systèmes dynamiques différentiables ram Variété invariante Control theory Differentiable dynamical systems Berechnung (DE-588)4120997-7 gnd Steuerung (DE-588)4057472-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Phase Thermodynamik (DE-588)4263270-5 gnd Schaltung (DE-588)4052056-0 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Commande, Théorie de la Commande, théorie de la Diagramme phase Dynamique différentiable Espace état Inclusion différentielle Système dynamique contrôlable Système dynamique différentiel Systèmes dynamiques différentiables Variété invariante Control theory Differentiable dynamical systems Berechnung Steuerung Differenzierbares dynamisches System Phase Thermodynamik Schaltung Dynamisches System Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004210841&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
| work_keys_str_mv | AT butkovskijanatolijg fazoveportretyupravljaemychdinamiceskichsistem AT butkovskijanatolijg phaseportraitsofcontroldynamicalsystems |