Periodic Feedback Stabilization for Linear Periodic Evolution Equations

Gengsheng Wang, Yashan Xu

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English

Springer International Publishing AG
20 February 2017

Differential calculus & equations; Calculus of variations; Optimisation; Dynamics & vibration

Series: SpringerBriefs in Mathematics

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.

By: Gengsheng Wang, Yashan Xu
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2016
Dimensions: Height: 235mm, Width: 155mm, Spine: 8mm
Weight: 2.234kg
ISBN: 9783319492377
ISBN 10: 3319492373
Series: SpringerBriefs in Mathematics
Pages: 127
Publication Date: 20 February 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.