LEADER 03183nam 22006135 450 001 9910132277403321 005 20200701105131.0 010 $a3-319-10900-6 024 7 $a10.1007/978-3-319-10900-8 035 $a(CKB)3710000000306120 035 $a(SSID)ssj0001386788 035 $a(PQKBManifestationID)11771555 035 $a(PQKBTitleCode)TC0001386788 035 $a(PQKBWorkID)11374984 035 $a(PQKB)11356386 035 $a(DE-He213)978-3-319-10900-8 035 $a(MiAaPQ)EBC5577462 035 $a(PPN)183094352 035 $a(EXLCZ)993710000000306120 100 $a20141103d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStabilization of Elastic Systems by Collocated Feedback /$fby Kaïs Ammari, Serge Nicaise 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XI, 178 p. 3 illus., 2 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2124 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-10899-9 320 $aIncludes bibliographical references. 327 $aSome 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. 330 $aBy introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2124 606 $aPartial differential equations 606 $aSystem theory 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aPartial differential equations. 615 0$aSystem theory. 615 14$aPartial Differential Equations. 615 24$aSystems Theory, Control. 676 $a515.392 700 $aAmmari$b Kaïs$4aut$4http://id.loc.gov/vocabulary/relators/aut$0716377 702 $aNicaise$b Serge$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910132277403321 996 $aStabilization of Elastic Systems by Collocated Feedback$92102290 997 $aUNINA