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Periodic Feedback Stabilization for Linear Periodic Evolution Equations: SpringerBriefs in Mathematics

Autor Gengsheng Wang, Yashan Xu
en Limba Engleză Paperback – 20 feb 2017
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.
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Specificații

ISBN-13: 9783319492377
ISBN-10: 3319492373
Pagini: 120
Ilustrații: XII, 127 p. 1 illus. in color.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.2 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

1 Controlled Periodic Equations, LQ Problems and Periodic Stabilization. 2 Criteria on Periodic Stabilization in Infinite Dimensional Cases. 3 Criteria on Periodic Stabilization in Finite Dimensional Cases. 4 Design of Simple Control Machines. Index

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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