The Resource Chain-Scattering Approach to H∞-Control, by Hidenori Kimura, (electronic resource)

Chain-Scattering Approach to H∞-Control, by Hidenori Kimura, (electronic resource)

Label
Chain-Scattering Approach to H∞-Control
Title
Chain-Scattering Approach to H∞-Control
Statement of responsibility
by Hidenori Kimura
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The advent of H∞-control was a truly remarkable innovation in multivariable theory. It eliminated the classical/modern dichotomy that had been a major source of the long-standing skepticism about the applicability of modern control theory, by amalgamating the "philosophy" of classical design with "computation" based on the state-space problem setting. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s. The purpose of this book is to provide a natural theoretical framework that is understandable with little mathematical background. The notion of chain-scattering, well known in classical circuit theory, but new to control theorists, plays a fundamental role in this book. It captures an essential feature of the control systems design, reducing it to a J-lossless factorization, which leads naturally to the idea of H∞-control. The J-lossless conjugation, an essentially new notion in linear system theory, then provides a powerful tool for computing this factorization. Thus the chain-scattering representation, the J-lossless factorization, and the J-lossless conjugation are the three key notions that provide the thread of development in this book. The book is completely self contained and requires little mathematical background other than some familiarity with linear algebra. Reviews: The book is useful to praciticing engineers in control system design and as a text for a graduate course in H∞-control and its applications. —Zentralblatt MATH H. Kimura's textbook is a useful source of information for everybody who wants to learn this part of modern control theory in a thorough manner. —Mathematica Bohemica The book provides a quite complete picture of the chain-scattering techniques for the solution of conjugation, factorization and control problems. It somehow complements other books on similar arguments. Therefore, it is intended for graduate students willing to understand the differences between various theoretical approaches to H∞-control, as well as to refresh the underlying historical background and similarities with other connected scientific disciplines. —IEEE Transactions on Automatic Control
Member of
http://library.link/vocab/creatorName
Kimura, Hidenori
Dewey number
003.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
mNVpQOQDxZs
Language note
English
LC call number
  • Q295
  • QA402.3-402.37
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Modern Birkhäuser Classics,
http://library.link/vocab/subjectName
  • System theory
  • Control engineering
  • Matrix theory
  • Algebra
  • Applied mathematics
  • Engineering mathematics
  • Systems Theory, Control
  • Control and Systems Theory
  • Linear and Multilinear Algebras, Matrix Theory
  • Mathematical and Computational Engineering
  • Applications of Mathematics
Label
Chain-Scattering Approach to H∞-Control, by Hidenori Kimura, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Elements of Linear System Theory -- Norms and Factorizations -- Chain-Scattering Representations of the Plant -- J-Lossless Conjugation and Interpolation -- J-Lossless Factorizations -- H? Control via (J, J?)-Lossless Factorization -- State-Space Solutions to H? Control Problems -- Structure of H? Control
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (253 p.)
Form of item
online
Isbn
9780817683313
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-8331-3
Specific material designation
remote
System control number
  • (CKB)3400000000087495
  • (EBL)1204426
  • (SSID)ssj0000665985
  • (PQKBManifestationID)11371209
  • (PQKBTitleCode)TC0000665985
  • (PQKBWorkID)10663890
  • (PQKB)10290001
  • (DE-He213)978-0-8176-8331-3
  • (EXLCZ)993400000000087495
Label
Chain-Scattering Approach to H∞-Control, by Hidenori Kimura, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Elements of Linear System Theory -- Norms and Factorizations -- Chain-Scattering Representations of the Plant -- J-Lossless Conjugation and Interpolation -- J-Lossless Factorizations -- H? Control via (J, J?)-Lossless Factorization -- State-Space Solutions to H? Control Problems -- Structure of H? Control
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (253 p.)
Form of item
online
Isbn
9780817683313
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-8331-3
Specific material designation
remote
System control number
  • (CKB)3400000000087495
  • (EBL)1204426
  • (SSID)ssj0000665985
  • (PQKBManifestationID)11371209
  • (PQKBTitleCode)TC0000665985
  • (PQKBWorkID)10663890
  • (PQKB)10290001
  • (DE-He213)978-0-8176-8331-3
  • (EXLCZ)993400000000087495

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