Overview
- Provides the reader with up-to-date coverage of the control of the important partial-differential-equation class of systems
- Examples applied in biological systems are of growing interest to control theorists and engineers
- Mathematical level provided allows the book to be accessible to the non-control-specialist
- Includes supplementary material: sn.pub/extras
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (15 chapters)
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Front Matter
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General Introduction
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Convex Analysis and Duality Principles
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Front Matter
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General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems
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Front Matter
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Applications in the Biological and Physical Sciences: Modeling and Stabilization
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Front Matter
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Back Matter
Keywords
About this book
Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality.
Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail.
The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.
Reviews
From the reviews:
“The focus of the book is stabilization, control and fluctuation of systems governed by Partial Differential Equations (PDE), and their applications to biological and physical sciences. The techniques used are the ones of robust control theory based around game theory. … The book is of interest both for control theorist than for researchers involved in complex problems in fluid mechanics, biological systems and material sciences.” (Rosa Maria Bianchini, Zentralblatt MATH, Vol. 1169, 2009)Authors and Affiliations
Bibliographic Information
Book Title: Stabilization, Optimal and Robust Control
Book Subtitle: Theory and Applications in Biological and Physical Sciences
Authors: Aziz Belmiloudi
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-1-84800-344-6
Publisher: Springer London
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag London 2008
Hardcover ISBN: 978-1-84800-343-9Published: 09 September 2008
Softcover ISBN: 978-1-84996-790-7Published: 19 October 2010
eBook ISBN: 978-1-84800-344-6Published: 17 August 2008
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XXII, 502
Number of Illustrations: 3 b/w illustrations
Topics: Control and Systems Theory, Control, Robotics, Mechatronics, Systems Theory, Control, Classical and Continuum Physics, Materials Science, general, Mathematical and Computational Biology