Authors:
- Only book dealing with the linear-algebraic approach to nonlinear control systems is such a detailed and extensive fashion
- Provides a complementary approach to the more traditional differential geometry and deals more easily with several important characteristics of nonlinear systems
- Includes supplementary material: sn.pub/extras
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (12 chapters)
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Front Matter
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Methodology
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Front Matter
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Applications to Control Problems
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Front Matter
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Back Matter
About this book
A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. "Algebraic Methods for Nonlinear Control Systems" develops a linear-algebraic alternative to the usual differential-geometric approach to nonlinear control, using vector spaces over suitable fields of nonlinear functions. It describes a range of results, some of which can be derived using differential geometry but many of which cannot. They include: classical and generalized realization in the nonlinear context; accessibility and observability recast for the linear-algebraic setting; discussion and solution of basic feedback problems; results for dynamic and static state and output feedback. Dynamic feedback and realization are shown to be dealt with and solved much more easily in the algebraic framework. The second edition has been completely revised with new text, examples and exercises; it is divided into two parts: necessary methodology and applications to control problems.
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Authors and Affiliations
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Dipartimento di Ingegneria Informatica Gestionale e dell’Automazione, Università Politecnica delle Marche, Ancona, Italy
Giuseppe Conte, Anna Maria Perdon
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Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Centre National de la Recherche Scientifique (CNRS), Nantes Cedex 3, France
Claude H. Moog
Bibliographic Information
Book Title: Algebraic Methods for Nonlinear Control Systems
Authors: Giuseppe Conte, Claude H. Moog, Anna Maria Perdon
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-1-84628-595-0
Publisher: Springer London
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag London 2007
Hardcover ISBN: 978-1-84628-594-3Published: 01 December 2006
Softcover ISBN: 978-1-84996-625-2Published: 19 October 2010
eBook ISBN: 978-1-84628-595-0Published: 19 January 2007
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 2
Number of Pages: XVI, 178
Additional Information: Originally published as volume 242 in the series: Lecture Notes in Control and Information Sciences
Topics: Control and Systems Theory, Mathematical Modeling and Industrial Mathematics, Systems Theory, Control, Complexity, Vibration, Dynamical Systems, Control, Linear and Multilinear Algebras, Matrix Theory