Periodic Feedback Stabilization for Linear Periodic Evolution Equations

✍ Scribed by Gengsheng Wang, Yashan Xu (auth.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 135
• Series: SpringerBriefs in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xii
Controlled Periodic Equations, LQ Problems and Periodic Stabilization....Pages 1-30
Criteria on Periodic Stabilization in Infinite Dimensional Cases....Pages 31-58
Criteria on Periodic Stabilization in Finite Dimensional Cases....Pages 59-93
Design of Simple Control Machines....Pages 95-117
Back Matter....Pages 119-127

✦ Subjects

Systems Theory, Control;Calculus of Variations and Optimal Control; Optimization;Continuous Optimization;Ordinary Differential Equations;Partial Differential Equations;Vibration, Dynamical Systems, Control