03985nam 22005895 450 991030011260332120200701114737.03-319-76666-X10.1007/978-3-319-76666-9(CKB)4100000003359483(MiAaPQ)EBC5374912(DE-He213)978-3-319-76666-9(PPN)226696731(EXLCZ)99410000000335948320180426d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierControllability and Stabilization of Parabolic Equations /by Viorel Barbu1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (x, 226 pages)PNLDE Subseries in Control ;903-319-76665-1 Includes bibliographical references and index.Preface -- Acronyms -- Preliminaries -- The Carleman Inequality for Linear Parabolic Equations -- Exact Controllability of Parabolic Equations -- Internal Controllability of Parabolic Equations with Inputs in Coefficients -- Feedback Stabilization of Semilinear Parabolic Equations -- Boundary Stabilization of Navier–Stokes Equations -- Index.This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research. .PNLDE Subseries in Control ;90System theoryPartial differential equationsControl engineeringEngineering mathematicsSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Control and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Engineering Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/T11030System theory.Partial differential equations.Control engineering.Engineering mathematics.Systems Theory, Control.Partial Differential Equations.Control and Systems Theory.Engineering Mathematics.629.8312Barbu Viorelauthttp://id.loc.gov/vocabulary/relators/aut13745BOOK9910300112603321Controllability and Stabilization of Parabolic Equations1564690UNINA