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Boundary stabilization of parabolic equations / / by Ionuţ Munteanu



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Autore: Munteanu Ionuţ Visualizza persona
Titolo: Boundary stabilization of parabolic equations / / by Ionuţ Munteanu Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (XII, 214 p. 8 illus., 3 illus. in color.)
Disciplina: 519
515.3534
Soggetto topico: System theory
Partial differential equations
Control engineering
Systems Theory, Control
Partial Differential Equations
Control and Systems Theory
Nota di contenuto: Preliminaries -- 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.
Sommario/riassunto: This 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.
Titolo autorizzato: Boundary Stabilization of Parabolic Equations  Visualizza cluster
ISBN: 3-030-11099-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910338252903321
Lo trovi qui: Univ. Federico II
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Serie: PNLDE Subseries in Control ; ; 93