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- Presents a focused and self-contained survey on the topic
- Offers an easy to read, step by step introduction
- Contains significant examples and applications
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations. Secondly, it identifies several criteria for the periodic feedback stabilization from the perspective of geometry, algebra and analyses respectively. Next, it describes several ways to design periodic feedback laws. Lastly, the book introduces readers to key methods for designing the control machines. Given its coverage and scope, it offers a helpful guide for graduate students and researchers in the areas of control theory and applied mathematics.
Authors and Affiliations
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School of Mathematics and Statistics, Wuhan University School of Mathematics and Statistics, Wuhan, China
Gengsheng Wang
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School of Mathematical Sciences, Fudan University , Shanghai, China
Yashan Xu
About the authors
Prof. Gengsheng Wang received his Ph.D. in Mathematics from Ohio University (Athens, USA) in 1994. He is currently Luojia Professor at the School of Mathematics and Statistics, and Director of the Institute of Mathematics, at Wuhan University, China. His research work mainly focus on optimal control problems, (in particular, time optimal control problems), controllability and stabilization for ordinary differential equations, and partial differential equations of parabolic type.
Dr. Yashan Xu received his Ph.D. in Mathematics from Fudan University (Shanghai, China) in 2006. He is currently an Associate Professor at the School of Mathematical Sciences, Fudan University, China. His research interests include differential games, optimal control theory and stabilization for evolution equations.
Bibliographic Information
Book Title: Periodic Feedback Stabilization for Linear Periodic Evolution Equations
Authors: Gengsheng Wang, Yashan Xu
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49238-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-49237-7Published: 20 February 2017
eBook ISBN: 978-3-319-49238-4Published: 08 February 2017
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XII, 127
Number of Illustrations: 1 illustrations in colour
Topics: Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Continuous Optimization, Ordinary Differential Equations, Partial Differential Equations, Vibration, Dynamical Systems, Control