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The Resource Methods of algebraic geometry in control theory, Part II, Multivariable linear systems and projective algebraic geometry, Peter Falb

Methods of algebraic geometry in control theory, Part II, Multivariable linear systems and projective algebraic geometry, Peter Falb

Label
Methods of algebraic geometry in control theory, Part II, Multivariable linear systems and projective algebraic geometry
Title
Methods of algebraic geometry in control theory
Title number
Part II
Title part
Multivariable linear systems and projective algebraic geometry
Statement of responsibility
Peter Falb
Title variation
Multivariable linear systems and projective algebraic geometry
Creator
Author
Subject
Language
eng
Summary
Part I, Scalar Linear Systems and Affine Algebraic Geometry, contains a clear presentation, with an applied flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback. Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource. The present, softcover reprint is designed to make this classic textbook available to a wider audience
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Falb, Peter L
Dewey number
629.8/312
Illustrations
illustrations
Index
index present
LC call number
QA402.3
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Modern Birkhäuser classics,
http://library.link/vocab/subjectName
  • Control theory
  • Geometry, Algebraic
Label
Methods of algebraic geometry in control theory, Part II, Multivariable linear systems and projective algebraic geometry, Peter Falb
Instantiates
Publication
Note
"Reprint of the 1999 edition."
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (x, 390 pages)
File format
unknown
Form of item
online
Isbn
9783319965741
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-96574-1
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Methods of algebraic geometry in control theory, Part II, Multivariable linear systems and projective algebraic geometry, Peter Falb
Publication
Note
"Reprint of the 1999 edition."
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (x, 390 pages)
File format
unknown
Form of item
online
Isbn
9783319965741
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-96574-1
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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