Authors:
- Affordable softcover reprint of a classic, still highly relevant monograph
- Provides a simple, innovative framework for the study of H-infinity-control Little mathematical background required
- Useful for applied mathematicians, practicing engineers, and graduate students
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
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-infinity-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. It will be useful to applied mathematicians and practicing engineers in control system design and as a text for a graduate course in H∞-control and its applications.
Authors and Affiliations
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Department of Mathematical Engineering and Information Physics, The University of Tokyo, Tokyo, Japan
Hidenori Kimura
About the author
Bibliographic Information
Book Title: Chain-Scattering Approach to H∞-Control
Authors: Hidenori Kimura
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-8331-3
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media, LLC 1997
Softcover ISBN: 978-0-8176-8330-6Published: 26 March 2012
eBook ISBN: 978-0-8176-8331-3Published: 03 May 2012
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XII, 246
Topics: Systems Theory, Control, Control and Systems Theory, Linear and Multilinear Algebras, Matrix Theory, Mathematical and Computational Engineering, Applications of Mathematics