03183nam 22006135 450 991013227740332120200701105131.03-319-10900-610.1007/978-3-319-10900-8(CKB)3710000000306120(SSID)ssj0001386788(PQKBManifestationID)11771555(PQKBTitleCode)TC0001386788(PQKBWorkID)11374984(PQKB)11356386(DE-He213)978-3-319-10900-8(MiAaPQ)EBC5577462(PPN)183094352(EXLCZ)99371000000030612020141103d2015 u| 0engurnn|008mamaatxtccrStabilization of Elastic Systems by Collocated Feedback /by Kaïs Ammari, Serge Nicaise1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XI, 178 p. 3 illus., 2 illus. in color.) Lecture Notes in Mathematics,0075-8434 ;2124Bibliographic Level Mode of Issuance: Monograph3-319-10899-9 Includes bibliographical references.Some backgrounds -- Stabilization of second order evolution equations by a class of unbounded feedbacks -- Stabilization of second order evolution equations with unbounded feedback with delay -- Asymptotic behaviour of concrete dissipative systems -- Systems with delay -- Bibliography.By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.Lecture Notes in Mathematics,0075-8434 ;2124Partial differential equationsSystem theoryPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Partial differential equations.System theory.Partial Differential Equations.Systems Theory, Control.515.392Ammari Kaïsauthttp://id.loc.gov/vocabulary/relators/aut716377Nicaise Sergeauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910132277403321Stabilization of Elastic Systems by Collocated Feedback2102290UNINA