03645nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500026002820820017003081000023003252450127003482600140004753000057006154900041006725040064007135050540007775060072013175200578013895200520019675300037024875380036025245380047025605880054026076500020026616500020026816500037027016530019027386530035027576530021027926530021028136530022028347000024028567100052028807760065029328300042029978560076030399780898718607SIAM20101024180019.0m eo d cr bn |||m|||a101016s2008 paua ob 001 0 eng d z 2008006666 a9780898718607 (electronic bk.) z9780898716504 (print) z0898716500 (print)7 aDC162siam a(CaBNVSL)slc00225411 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.K738 2008eb04a515/.3532221 aKrstiâc, Miroslav.10aBoundary control of PDEsh[electronic resource] :ba course on backstepping designs /cMiroslav Krstic, Andrey Smyshlyaev. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2008. a1 electronic text (x, 192 p.) :bill., digital file.1 aAdvances in design and control ;v16 aIncludes bibliographical references (p. 177-190) and index.0 aIntroduction -- Lyapunov Stability -- Exact Solutions to PDEs -- Parabolic PDEs : Reaction-Advection-Diffusion and Other Equations -- Observer Design -- Complex-Valued PDEs : Schrčodinger and Ginzburg-Landau Equations -- Hyperbolic PDEs : Wave Equations -- Beam Equations -- First-Order Hyperbolic PDEs and Delay Equations -- Kuramoto-Sivashinsky, Korteweg-de Vries, and Other "Exotic" Equations -- Navier-Stokes Equations -- Motion Planning for PDEs -- Adaptive Control for PDEs -- Towards Nonlinear PDEs -- Appendix Bessel Functions.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis concise and highly usable textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Backstepping provides mathematical tools for constructing coordinate transformations and boundary feedback laws for converting complex and unstable PDE systems into elementary, stable, and physically intuitive "target PDE systems" that are familiar to engineers and physicists. Readers will be introduced to constructive control synthesis and Lyapunov stability analysis for distributed parameter systems.8 aThe text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aControl theory. 0aBoundary layer. 0aDifferential equations, Partial. aControl theory aPartial differential equations aBoundary control aAdaptive control aNonlinear control1 aSmyshlyaev, Andrey.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716500z9780898716504w(DLC) 2008006666 0aAdvances in design and control ;v16.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_control/dc16