LEADER 03985nam  22005895  450 
001 9910300112603321
005 20200701114737.0
010   $a3-319-76666-X
024 7 $a10.1007/978-3-319-76666-9
035   $a(CKB)4100000003359483
035   $a(MiAaPQ)EBC5374912
035   $a(DE-He213)978-3-319-76666-9
035   $a(PPN)226696731
035   $a(EXLCZ)994100000003359483
100   $a20180426d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aControllability and Stabilization of Parabolic Equations /$fby Viorel Barbu
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (x, 226 pages)
225 1 $aPNLDE Subseries in Control ;$v90
311   $a3-319-76665-1 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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.
330   $aThis monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier?Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research. .
410  0$aPNLDE Subseries in Control ;$v90
606   $aSystem theory
606   $aPartial differential equations
606   $aControl engineering
606   $aEngineering mathematics
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
615  0$aSystem theory.
615  0$aPartial differential equations.
615  0$aControl engineering.
615  0$aEngineering mathematics.
615 14$aSystems Theory, Control.
615 24$aPartial Differential Equations.
615 24$aControl and Systems Theory.
615 24$aEngineering Mathematics.
676   $a629.8312
700   $aBarbu$b Viorel$4aut$4http://id.loc.gov/vocabulary/relators/aut$013745
906   $aBOOK
912   $a9910300112603321
996   $aControllability and Stabilization of Parabolic Equations$91564690
997   $aUNINA