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010   $a3-030-11099-0
024 7 $a10.1007/978-3-030-11099-4
035   $a(CKB)4100000007656525
035   $a(DE-He213)978-3-030-11099-4
035   $a(MiAaPQ)EBC5710179
035   $a(PPN)235004235
035   $a(EXLCZ)994100000007656525
100   $a20190215d2019      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBoundary stabilization of parabolic equations$b[electronic resource] /$fby Ionu? Munteanu
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (XII, 214 p. 8 illus., 3 illus. in color.)
225 1 $aPNLDE Subseries in Control ;$v93
311   $a3-030-11098-2 
327   $aPreliminaries -- Stabilization of Abstract Parabolic Equations -- Stabilization of Periodic Flows in a Channel -- Stabilization of the Magnetohydrodynamics Equations in a Channel -- Stabilization of the Cahn-Hilliard System -- Stabilization of Equations with Delays -- Stabilization of Stochastic Equations -- Stabilization of Nonsteady States -- Internal Stabilization of Abstract Parabolic Systems.
330   $aThis monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling. The text provides answers to the following problems, which are of great practical importance: Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state Designing observers for the considered control systems Constructing time-discrete controllers requiring only partial knowledge of the state After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more. Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
410  0$aPNLDE Subseries in Control ;$v93
606   $aSystem theory
606   $aPartial differential equations
606   $aControl engineering
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$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
615  0$aSystem theory.
615  0$aPartial differential equations.
615  0$aControl engineering.
615 14$aSystems Theory, Control.
615 24$aPartial Differential Equations.
615 24$aControl and Systems Theory.
676   $a519
700   $aMunteanu$b Ionu?$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781005
906   $aBOOK
912   $a9910338252903321
996   $aBoundary Stabilization of Parabolic Equations$91668180
997   $aUNINA