期刊全稱 | Boundary Stabilization of Parabolic Equations | 影響因子2023 | Ionu? Munteanu | 視頻video | http://file.papertrans.cn/191/190028/190028.mp4 | 發(fā)行地址 | Describes a new technique of stabilizing parabolic type equations.Discusses numerous applications for the control techniques presented.Will be an indispensable tool for researchers in control theory a | 學(xué)科分類 | Progress in Nonlinear Differential Equations and Their Applications | 圖書封面 |  | 影響因子 | 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 mode | Pindex | Book 2019 |
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