Control of systems with aftereffect:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | Translations of mathematical monographs
157 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Russ. Orig.-Ausg. u.d.T.: Andreeva, E. A.: Upravlenie sistemami s posledejstviem. - Aus dem Russ. übers. |
| Beschreibung: | XI, 336 S. |
| ISBN: | 0821803743 |
Internformat
MARC
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| 100 | 1 | |a Kolmanovskij, Vladimir B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Control of systems with aftereffect |c V. B. Kolmanovskii ; L. E. Shaikhet |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1996 | |
| 300 | |a XI, 336 S. | ||
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Datensatz im Suchindex
| _version_ | 1804125686147842048 |
|---|---|
| adam_text | Contents
Preface ix
Chapter 1. Elements of the theory of systems with aftereffect 1
§1.1. Differential equations with aftereffect 1
§1.2. Modeling systems with aftereffect 8
§1.3. Statements of problems of control and observation 18
Chapter 2. The dynamic programming method 21
§2.1. The Bellman equation 21
§2.2. A linear quadratic problem 23
§2.3. Bilinear controlled systems 29
§2.4. Stabilization problems 36
Chapter 3. Optimality conditions for deterministic systems with aftereffect 51
§3.1. Conditions for optimality of systems with constant lag in the phase
variable 51
§3.2. Linear time optimal problem 57
§3.3. The optimal control problem with unfixed time 58
§3.4. The linear optimal control problem with fixed time 59
§3.5. Optimal control of systems with variable lag in state 61
§3.6. Optimal control of systems with lag in control 63
§3.7. The optimal control problem for a system of integro differential
equations with aftereffect 65
§3.8. Approximate methods for solving optimal control problems with
aftereffect 69
§3.9. Conditions for optimality of neutral type systems 73
§3.10. The optimal control problem for a system with distributed after¬
effect 80
Chapter 4. Investigation of self adjusting systems with reference model 83
§4.1. The stability of self adjusting systems with reference model 83
§4.2. The identification of systems using adaptive models 93
§4.3. The stability of self adjusting lag systems 102
§4.4. The investigation of transient processes in self adjusting systems 108
§4.5. The synthesis of aperiodic self adjusting systems 113
Chapter 5. Optimal control of stochastic systems 119
§5.1. The synthesis of optimal control 119
§5.2. Linear systems with quadratic performance functional 121
vii
viii CONTENTS
§5.3. An approximate synthesis of optimal control 128
§5.4. Quasilinear systems 132
§5.5. Systems with noise contaminated control 142
§5.6. Examples 146
§5.7. Systems with Poisson perturbation in the controlling device 152
§5.8. Numerical solution of the time optimal control problem 159
§5.9. Numerical solution of the problem of maximization of the proba¬
bility of sojourn of a system in a given domain 168
Chapter 6. Optimal control of systems defined by stochastic integro func
tional equations 179
§6.1. Statement of the problem 179
§6.2. Stochastic integro functional equations 180
§6.3. A necessary condition for optimality of noise contaminated control 184
§6.4. A necessary condition for optimality of control without noise 190
§6.5. A linear quadratic problem 196
§6.6. Examples 203
§6.7. Quasilinear systems 229
Chapter 7. Optimal estimation 243
§7.1. The filtering problem 243
§7.2. The fundamental filtering equation 246
§7.3. Forecasting and interpolation 252
§7.4. Filtration of processes described by integral equations 253
§7.5. Examples 261
Chapter 8. Optimal control with incomplete data 285
§8.1. Partially observable Volterra processes 285
§8.2. Stochastic systems with unknown parameter 300
§8.3. Adaptive control 308
§8.4. Examples 311
Bibliography 323
|
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| id | DE-604.BV011190050 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:30Z |
| institution | BVB |
| isbn | 0821803743 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007504643 |
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| physical | XI, 336 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Kolmanovskij, Vladimir B. Verfasser aut Control of systems with aftereffect V. B. Kolmanovskii ; L. E. Shaikhet Providence, RI American Math. Soc. 1996 XI, 336 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 157 Russ. Orig.-Ausg. u.d.T.: Andreeva, E. A.: Upravlenie sistemami s posledejstviem. - Aus dem Russ. übers. Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Šajchet, Leonid E. Sonstige oth Translations of mathematical monographs 157 (DE-604)BV000002394 157 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007504643&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kolmanovskij, Vladimir B. Control of systems with aftereffect Translations of mathematical monographs Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 |
| title | Control of systems with aftereffect |
| title_auth | Control of systems with aftereffect |
| title_exact_search | Control of systems with aftereffect |
| title_full | Control of systems with aftereffect V. B. Kolmanovskii ; L. E. Shaikhet |
| title_fullStr | Control of systems with aftereffect V. B. Kolmanovskii ; L. E. Shaikhet |
| title_full_unstemmed | Control of systems with aftereffect V. B. Kolmanovskii ; L. E. Shaikhet |
| title_short | Control of systems with aftereffect |
| title_sort | control of systems with aftereffect |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007504643&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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