TY - BOOK AU - Wang,Gengsheng AU - Xu,Yashan ED - SpringerLink (Online service) TI - Periodic Feedback Stabilization for Linear Periodic Evolution Equations T2 - SpringerBriefs in Mathematics, SN - 9783319492384 AV - Q295 U1 - 519 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Systems theory KW - Mathematical optimization KW - Differential Equations KW - Differential equations, partial KW - Vibration KW - Systems Theory, Control KW - Calculus of Variations and Optimal Control; Optimization KW - Continuous Optimization KW - Ordinary Differential Equations KW - Partial Differential Equations KW - Vibration, Dynamical Systems, Control N2 - 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 UR - https://doi.org/10.1007/978-3-319-49238-4 ER -