Methods of algebraic geometry in control theory: 1 Scalar linear systems and affine algebraic geometry
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Birkhäuser
1990
|
| Series: | System & control
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 202 S. |
| ISBN: | 3764334541 0817634541 |
Staff View
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV004320851 | ||
| 003 | DE-604 | ||
| 005 | 20170811 | ||
| 007 | t | ||
| 008 | 910422s1990 |||| 00||| engod | ||
| 020 | |a 3764334541 |9 3-7643-3454-1 | ||
| 020 | |a 0817634541 |9 0-8176-3454-1 | ||
| 035 | |a (OCoLC)311398453 | ||
| 035 | |a (DE-599)BVBBV004320851 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-739 |a DE-355 |a DE-703 |a DE-20 |a DE-824 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 082 | 0 | |a 629.8/312 | |
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a 93B25 |2 msc | ||
| 100 | 1 | |a Falb, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Methods of algebraic geometry in control theory |n 1 |p Scalar linear systems and affine algebraic geometry |c Peter Falb |
| 264 | 1 | |a Boston u.a. |b Birkhäuser |c 1990 | |
| 300 | |a VII, 202 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a System & control |v 4 | |
| 490 | 0 | |a Systems & control |v ... | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 773 | 0 | 8 | |w (DE-604)BV004320850 |g 1 |
| 830 | 0 | |a System & control |v 4 |w (DE-604)BV004265061 |9 4 | |
| 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=002686937&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002686937 | ||
Record in the Search Index
| _version_ | 1804118509811138560 |
|---|---|
| adam_text | Table of Contents
Preface v
0. Introduction 1
1. Scalar Linear Systems over the Complex Numbers 5
2. Scalar Linear Systems over a Field k 9
3. Factoring Polynomials 15
4. Affine Algebraic Geometry: Algebraic Sets 20
5. Affine Algebraic Geometry: The Hilbert Theorems 24
6. Affine Algebraic Geometry: Irreducibility 29
7. Affine Algebraic Geometry: Regular Functions and Morphisms I . 32
8. The Laurent Isomorphism Theorem 39
9. Affine Algebraic Geometry: Regular Functions and Morphisms II . 45
10. The State Space: Realizations 50
11. The State Space: Controllability, Observability, Equivalence ... 58
12. Affine Algebraic Geometry: Products, Graphs and Projections . . 65
13. Group Actions, Equivalence and Invariants 71
14. The Geometric Quotient Theorem: Introduction 76
15. The Geometric Quotient Theorem: Closed Orbits 83
16. Affine Algebraic Geometry: Dimension 87
17. The Geometric Quotient Theorem: Open on Invariant Sets . . . 103
18. Affine Algebraic Geometry: Fibers of Morphisms 105
19. The Geometric Quotient Theorem: The Ring of Invariants .... 113
20. Affine Algebraic Geometry: Simple Points 128
21. Feedback and the Pole Placement Theorem 137
22. Affine Algebraic Geometry: Varieties 145
23. Interlude 151
Appendix A: Tensor Products 168
Appendix B: Actions of Reductive Groups 175
Appendix C: Symmetric Functions and Symmetric Group Actions 179
Appendix D: Derivations and Separability 185
Problems 190
References 200
|
| any_adam_object | 1 |
| author | Falb, Peter |
| author_facet | Falb, Peter |
| author_role | aut |
| author_sort | Falb, Peter |
| author_variant | p f pf |
| building | Verbundindex |
| bvnumber | BV004320851 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)311398453 (DE-599)BVBBV004320851 |
| 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>01666nam a2200421 cc4500</leader><controlfield tag="001">BV004320851</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170811 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910422s1990 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764334541</subfield><subfield code="9">3-7643-3454-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817634541</subfield><subfield code="9">0-8176-3454-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)311398453</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004320851</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="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8/312</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">93B25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Falb, Peter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Methods of algebraic geometry in control theory</subfield><subfield code="n">1</subfield><subfield code="p">Scalar linear systems and affine algebraic geometry</subfield><subfield code="c">Peter Falb</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston u.a.</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 202 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="1" ind2=" "><subfield code="a">System & control</subfield><subfield code="v">4</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Systems & control</subfield><subfield code="v">...</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV004320850</subfield><subfield code="g">1</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">System & control</subfield><subfield code="v">4</subfield><subfield code="w">(DE-604)BV004265061</subfield><subfield code="9">4</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=002686937&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:BVB01-002686937</subfield></datafield></record></collection> |
| id | DE-604.BV004320851 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:11:26Z |
| institution | BVB |
| isbn | 3764334541 0817634541 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002686937 |
| oclc_num | 311398453 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-703 DE-20 DE-824 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-703 DE-20 DE-824 DE-634 DE-83 DE-11 DE-188 |
| physical | VII, 202 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Birkhäuser |
| record_format | marc |
| series | System & control |
| series2 | System & control Systems & control |
| spelling | Falb, Peter Verfasser aut Methods of algebraic geometry in control theory 1 Scalar linear systems and affine algebraic geometry Peter Falb Boston u.a. Birkhäuser 1990 VII, 202 S. txt rdacontent n rdamedia nc rdacarrier System & control 4 Systems & control ... Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 (DE-604)BV004320850 1 System & control 4 (DE-604)BV004265061 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002686937&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Falb, Peter Methods of algebraic geometry in control theory System & control Algebraische Geometrie (DE-588)4001161-6 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4032317-1 |
| title | Methods of algebraic geometry in control theory |
| title_auth | Methods of algebraic geometry in control theory |
| title_exact_search | Methods of algebraic geometry in control theory |
| title_full | Methods of algebraic geometry in control theory 1 Scalar linear systems and affine algebraic geometry Peter Falb |
| title_fullStr | Methods of algebraic geometry in control theory 1 Scalar linear systems and affine algebraic geometry Peter Falb |
| title_full_unstemmed | Methods of algebraic geometry in control theory 1 Scalar linear systems and affine algebraic geometry Peter Falb |
| title_short | Methods of algebraic geometry in control theory |
| title_sort | methods of algebraic geometry in control theory scalar linear systems and affine algebraic geometry |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Algebraische Geometrie Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002686937&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004320850 (DE-604)BV004265061 |
| work_keys_str_mv | AT falbpeter methodsofalgebraicgeometryincontroltheory1 |