Optimal control of discrete systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York u.a.
Wiley
1978
|
| Series: | A Halsted Press book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 392 S. |
| ISBN: | 0470265302 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002624529 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 900403s1978 |||| 00||| eng d | ||
| 020 | |a 0470265302 |9 0-470-26530-2 | ||
| 035 | |a (OCoLC)5313456 | ||
| 035 | |a (DE-599)BVBBV002624529 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 1 | |a eng |h rus | |
| 049 | |a DE-91G |a DE-355 |a DE-824 |a DE-29T |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA402.3 | |
| 082 | 0 | |a 629.8/312 |2 18 | |
| 084 | |a SK 870 |0 (DE-625)143265: |2 rvk | ||
| 084 | |a 49A34 |2 msc | ||
| 100 | 1 | |a Boltjanskij, Vladimir G. |d 1925-2019 |e Verfasser |0 (DE-588)122968050 |4 aut | |
| 240 | 1 | 0 | |a Optimal'noe upravlenie diskretnymi sistemami |
| 245 | 1 | 0 | |a Optimal control of discrete systems |c V. G. Boltyanskii |
| 264 | 1 | |a New York u.a. |b Wiley |c 1978 | |
| 300 | |a IX, 392 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a A Halsted Press book | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 0 | 7 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Diskrete Optimierung |0 (DE-588)4150179-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Diskretes System |0 (DE-588)4401225-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |D s |
| 689 | 0 | 1 | |a Diskretes System |0 (DE-588)4401225-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Diskrete Optimierung |0 (DE-588)4150179-2 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001686590 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804117008641425408 |
|---|---|
| adam_text | CONTENTS
PREFACE v
Chapter I. STA TEMENT OF PR OBLEM AND NA TV RE OF RESUL TS
§ 1. Optimization of Discrete Processes 1
1. Maximum of product 1
2. Some applied problems 4
3. Optimal control of discrete objects 9
4. Other statements of discrete control problems 12
5. Maximization of several functionals 20
§ 2. Connection between Discrete Optimization Problems and Other Extremum
Problems 26
6. Extremum of function 26
7. Problem of mathematical programming 30
8. Controlled processes with continuous time 36
§ 3. Methods of Solving Discrete Optimization Problems 43
9. Dynamic programming 43
10. Discrete maximum principle 50
11. Ideas of mathematical programming 63
Chapter II. BASIC CONCEPTS OF MULTIDIMENSIONAL GEOMETR Y
§4. Vector Space 76
12. Definition of vector space 76
13. Dimension and basis 81
14. Subspace 88
15. Homomorphisms of vector spaces 95
16. Euclidean vector space 103
§5. Euclidean Geometry 112
17. Definition of affine space 112
18. Planes in aftlne space 120
19. Affine mappings 129
20. Affine functions 136
21. Euclidean space 142
22. Topology of Euclidean space 150
23. Coordinates 154
Chapter III. ELEMENTS OF THEOR Y OF CON VEX SETS
§6. Convex Sets 162
24. Definition of convex set 162
25. Convex hull 166
26. Boundary of convex field 173
27. Convex polyhedron 179
§7. Supporting Properties of Convex Sets 187
28. Supporting cone 187
29. Affine function on a convex set 197
§ 8. Theorems on Separability of Convex Cones 204
30. Separation of convex sets 204
31. Dual cone 214
32. Separability of system of convex cones 218
Chapter IV. EXTREMA OF FUNCTIONS
§ 9. Existence Theorems 226
33. Tangent mapping 226
34. Covering of set 240
35. Theorem on intersection 249
§10. Extremum Criteria 265
36. Necessary condition for extremum of function 265
37. Sufficient condition for extremum of function 287
38. Maximum principle 300
39. Method of dynamic programming 308
Chapter V. OPTIMALITY CRITERIA FOR DISCRETE PR OCESSES
§11. Dynamic Programming 317
40. Description of method 317
41. Connection with theory of extrema of functions 326
§12. Necessary Conditions for Optimality 329
42. Fundamental problem 330
43. Problem with phase constraints 342
44. Existence theorem 351
45. Discrete objects with variable control domain 354
46. Discrete maximum principle (method of local sections) 358
§13. Sufficient Conditions for Optimality 375
47. Objects with constant control domain 375
48. Objects with variable control domain 384
AUTHOR INDEX 388
SUBJECT INDEX 389
|
| any_adam_object | 1 |
| author | Boltjanskij, Vladimir G. 1925-2019 |
| author_GND | (DE-588)122968050 |
| author_facet | Boltjanskij, Vladimir G. 1925-2019 |
| author_role | aut |
| author_sort | Boltjanskij, Vladimir G. 1925-2019 |
| author_variant | v g b vg vgb |
| building | Verbundindex |
| bvnumber | BV002624529 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402.3 |
| callnumber-search | QA402.3 |
| callnumber-sort | QA 3402.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)5313456 (DE-599)BVBBV002624529 |
| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312 |
| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01833nam a2200469 c 4500</leader><controlfield tag="001">BV002624529</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900403s1978 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0470265302</subfield><subfield code="9">0-470-26530-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)5313456</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002624529</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA402.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8/312</subfield><subfield code="2">18</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 870</subfield><subfield code="0">(DE-625)143265:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49A34</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Boltjanskij, Vladimir G.</subfield><subfield code="d">1925-2019</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122968050</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Optimal'noe upravlenie diskretnymi sistemami</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Optimal control of discrete systems</subfield><subfield code="c">V. G. Boltyanskii</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York u.a.</subfield><subfield code="b">Wiley</subfield><subfield code="c">1978</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 392 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">A Halsted Press book</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimale Kontrolle</subfield><subfield code="0">(DE-588)4121428-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diskrete Optimierung</subfield><subfield code="0">(DE-588)4150179-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diskretes System</subfield><subfield code="0">(DE-588)4401225-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Optimale Kontrolle</subfield><subfield code="0">(DE-588)4121428-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Diskretes System</subfield><subfield code="0">(DE-588)4401225-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Diskrete Optimierung</subfield><subfield code="0">(DE-588)4150179-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001686590</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV002624529 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:34Z |
| institution | BVB |
| isbn | 0470265302 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001686590 |
| oclc_num | 5313456 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-29T DE-83 DE-188 |
| physical | IX, 392 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Halsted Press book |
| spelling | Boltjanskij, Vladimir G. 1925-2019 Verfasser (DE-588)122968050 aut Optimal'noe upravlenie diskretnymi sistemami Optimal control of discrete systems V. G. Boltyanskii New York u.a. Wiley 1978 IX, 392 S. txt rdacontent n rdamedia nc rdacarrier A Halsted Press book Control theory Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Diskrete Optimierung (DE-588)4150179-2 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 s Diskretes System (DE-588)4401225-1 s DE-604 Diskrete Optimierung (DE-588)4150179-2 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Boltjanskij, Vladimir G. 1925-2019 Optimal control of discrete systems Control theory Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd Diskrete Optimierung (DE-588)4150179-2 gnd Diskretes System (DE-588)4401225-1 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4150179-2 (DE-588)4401225-1 |
| title | Optimal control of discrete systems |
| title_alt | Optimal'noe upravlenie diskretnymi sistemami |
| title_auth | Optimal control of discrete systems |
| title_exact_search | Optimal control of discrete systems |
| title_full | Optimal control of discrete systems V. G. Boltyanskii |
| title_fullStr | Optimal control of discrete systems V. G. Boltyanskii |
| title_full_unstemmed | Optimal control of discrete systems V. G. Boltyanskii |
| title_short | Optimal control of discrete systems |
| title_sort | optimal control of discrete systems |
| topic | Control theory Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd Diskrete Optimierung (DE-588)4150179-2 gnd Diskretes System (DE-588)4401225-1 gnd |
| topic_facet | Control theory Mathematical optimization Optimale Kontrolle Diskrete Optimierung Diskretes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT boltjanskijvladimirg optimalnoeupravleniediskretnymisistemami AT boltjanskijvladimirg optimalcontrolofdiscretesystems |