000728223 000__ 02840cam\a2200469Ii\4500 000728223 001__ 728223 000728223 005__ 20230306141000.0 000728223 006__ m\\\\\o\\d\\\\\\\\ 000728223 007__ cr\cn\nnnunnun 000728223 008__ 150720s2015\\\\sz\\\\\\ob\\\\000\0\eng\d 000728223 019__ $$a914329429 000728223 020__ $$a9783319188904$$qelectronic book 000728223 020__ $$a3319188909$$qelectronic book 000728223 020__ $$z9783319188898 000728223 020__ $$z3319188895 000728223 035__ $$aSP(OCoLC)ocn914165965 000728223 035__ $$aSP(OCoLC)914165965$$z(OCoLC)914329429 000728223 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dN$T$$dGW5XE$$dIDEBK$$dAZU$$dYDXCP 000728223 049__ $$aISEA 000728223 050_4 $$aQA402.3 000728223 08204 $$a003/.5$$223 000728223 1001_ $$aGugat, Martin. 000728223 24510 $$aOptimal boundary control and boundary stabilization of hyperbolic systems$$h[electronic resource] /$$cMartin Gugat. 000728223 264_1 $$aCham :$$bBirkhäuser,$$c2015. 000728223 264_4 $$c©2015 000728223 300__ $$a1 online resource. 000728223 336__ $$atext$$btxt$$2rdacontent 000728223 337__ $$acomputer$$bc$$2rdamedia 000728223 338__ $$aonline resource$$bcr$$2rdacarrier 000728223 4901_ $$aSpringer briefs in electrical and computer engineering. Control, automation and robotics 000728223 504__ $$aIncludes bibliographical references and index. 000728223 5050_ $$aIntroduction -- Systems that are Governed by the Wave Equation -- Exact Controllability -- Optimal Exact Control -- Boundary Stabilization -- Nonlinear Systems -- Distributions -- Index. 000728223 506__ $$aAccess limited to authorized users. 000728223 520__ $$aThis brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization. 000728223 588__ $$aOnline resource; title from PDF title page (viewed July 21, 2015). 000728223 650_0 $$aControl theory. 000728223 650_0 $$aDifferential equations, Hyperbolic. 000728223 830_0 $$aSpringerBriefs in electrical and computer engineering.$$pControl, automation and robotics. 000728223 852__ $$bebk 000728223 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-18890-4$$zOnline Access$$91397441.1 000728223 909CO $$ooai:library.usi.edu:728223$$pGLOBAL_SET 000728223 980__ $$aEBOOK 000728223 980__ $$aBIB 000728223 982__ $$aEbook 000728223 983__ $$aOnline 000728223 994__ $$a92$$bISE