Methods of algebraic geometry in control theory: 2 Multivariable linear systems and projective algebraic geometry
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Birkhäuser
1999
|
| Edition: | Reprint of the 1999 Edition |
| Series: | Systems & control
... |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | viii, 390 Seiten Illustrationen |
| ISBN: | 0817641130 3764341130 |
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| 245 | 1 | 0 | |a Methods of algebraic geometry in control theory |n 2 |p Multivariable linear systems and projective algebraic geometry |c Peter Falb |
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Record in the Search Index
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| adam_text | Contents
Preface vii
Introduction 1
1 Scalar Input or Scalar Output Systems 7
2 Two or Three Input, Two Output Systems: Some Examples 35
3 The Transfer and Hankel Matrices 59
4 Polynomial Matrices 79
5 Projective Space 105
6 Projective Algebraic Geometry I: Basic Concepts 113
7 Projective Algebraic Geometry II: Regular Functions,
Local Rings, Morphisms 129
8 Exterior Algebra and Grassmannians 143
9 The Laurent Isomorphism Theorem: I 161
10 Projective Algebraic Geometry III: Products, Graphs, Projections 173
vi Contents
11 The Laurent Isomorphism Theorem: II 181
12 Projective Algebraic Geometry IV: Families, Projections, Degree 191
13 The State Space: Realizations, Controllability, Observability,
Equivalence 201
14 Projective Algebraic Geometry V: Fibers of Morphisms 223
15 Projective Algebraic Geometry VI: Tangents, Differentials,
Simple Subvarieties 231
16 The Geometric Quotient Theorem 243
17 Projective Algebraic Geometry VII: Divisors 259
18 Projective Algebraic Geometry VIII: Intersections 271
19 State Feedback 283
20 Output Feedback 313
APPENDICES
A Formal Power Series, Completions,
Regular Local Rings, and Hilbert Polynomials 329
B Specialization, Generic Points and Spectra 349
C Differentials 357
D The Space C£ 361
E Review of Affine Algebraic Geometry 367
References 375
Glossary of Notations 381
Index 383
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| id | DE-604.BV012911951 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:35:54Z |
| institution | BVB |
| isbn | 0817641130 3764341130 |
| language | English |
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| physical | viii, 390 Seiten Illustrationen |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Birkhäuser |
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| series2 | Systems & control |
| spelling | Falb, Peter Verfasser aut Methods of algebraic geometry in control theory 2 Multivariable linear systems and projective algebraic geometry Peter Falb Reprint of the 1999 Edition Boston u.a. Birkhäuser 1999 viii, 390 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Systems & control ... (DE-604)BV004320850 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008788883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Falb, Peter Methods of algebraic geometry in control theory |
| 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 2 Multivariable linear systems and projective algebraic geometry Peter Falb |
| title_fullStr | Methods of algebraic geometry in control theory 2 Multivariable linear systems and projective algebraic geometry Peter Falb |
| title_full_unstemmed | Methods of algebraic geometry in control theory 2 Multivariable linear systems and projective algebraic geometry Peter Falb |
| title_short | Methods of algebraic geometry in control theory |
| title_sort | methods of algebraic geometry in control theory multivariable linear systems and projective algebraic geometry |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008788883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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