Periodic Feedback Stabilization for Linear Periodic Evolution Equations

• Main Authors: Wang, Gengsheng (Author), Xu, Yashan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; System theory.; Calculus of variations.; Mathematical optimization.; Vibration.; Dynamical systems.; Dynamics.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Continuous Optimization.; Ordinary Differential Equations.; Partial Differential Equations.; Vibration, Dynamical Systems, Control.
• Physical Description: XII, 127 p. 1 illus. in color. online resource.
• ISBN: 9783319492384
• ISSN: 2191-8198

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.