| 期刊全称 | Boundary Stabilization of Parabolic Equations | | 影响因子2023 | Ionuţ Munteanu | | 视频video | | | 发行地址 | 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 | | 学科分类 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 影响因子 | 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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发表于 2025-3-21 18:14:06
