03855nam 22007695 450 991016415740332120251116171517.010.1007/978-3-319-49238-4(CKB)3710000001055666(MiAaPQ)EBC4803132(DE-He213)978-3-319-49238-4(PPN)198870558(EXLCZ)99371000000105566620170209d2016 u| 0engurcnu||||||||rdacontentrdamediardacarrierPeriodic feedback stabilization for linear periodic evolution equations /by Gengsheng Wang, Yashan Xu1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (135 pages) illustrationsSpringerBriefs in Mathematics,2191-81983-319-49238-1 3-319-49237-3 Includes bibliographical references and index.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.SpringerBriefs in Mathematics,2191-8198System theoryCalculus of variationsMathematical optimizationDifferential equationsDifferential equations, PartialVibrationDynamicsDynamicsSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Continuous Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26030Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036System theory.Calculus of variations.Mathematical optimization.Differential equations.Differential equations, Partial.Vibration.Dynamics.Dynamics.Systems Theory, Control.Calculus of Variations and Optimal Control; Optimization.Continuous Optimization.Ordinary Differential Equations.Partial Differential Equations.Vibration, Dynamical Systems, Control.510Wang Gengshengauthttp://id.loc.gov/vocabulary/relators/aut756040Xu Yashanauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910164157403321Periodic Feedback Stabilization for Linear Periodic Evolution Equations1964444UNINA