000 02588nam a22004575i 4500
001 978-3-642-04613-1
003 DE-He213
005 20140220084527.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642046131
_9978-3-642-04613-1
024 7 _a10.1007/978-3-642-04613-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aLiu, Weijiu.
_eauthor.
245 1 0 _aElementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation
_h[electronic resource] /
_cby Weijiu Liu.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 296 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathématiques et Applications,
_x1154-483X ;
_v66
505 0 _aExamples of Control Systems -- Elementary Functional Analysis -- Finite Dimensional Systems -- Linear Reaction-Convection-Diffusion Equation -- One-dimensional Wave Equation -- Higher-dimensional Wave Equation.
520 _aThis book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aApplications of Mathematics.
650 2 4 _aControl.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642046124
830 0 _aMathématiques et Applications,
_x1154-483X ;
_v66
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-04613-1
912 _aZDB-2-SMA
999 _c111618
_d111618