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Titlebook: Boundary Stabilization of Parabolic Equations; Ionu? Munteanu Book 2019 Springer Nature Switzerland AG 2019 Parabolic Partial Differential

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樓主
發(fā)表于 2025-3-21 18:14:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Boundary Stabilization of Parabolic Equations
影響因子2023Ionu? Munteanu
視頻videohttp://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Titlebook: Boundary Stabilization of Parabolic Equations;  Ionu? Munteanu Book 2019 Springer Nature Switzerland AG 2019 Parabolic Partial Differential
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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書目名稱Boundary Stabilization of Parabolic Equations影響因子(影響力)




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沙發(fā)
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板凳
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https://doi.org/10.1007/978-94-6209-992-0of great interest to consider control problems associated with equations with delays. Furthermore, special kinds of substances, such as viscoelastic fluids, may also impose such delays. We will prove here that the proportional feedback, designed in Chap.?2, still ensures stability for this kind of system.
地板
發(fā)表于 2025-3-22 07:48:34 | 只看該作者
5#
發(fā)表于 2025-3-22 09:38:00 | 只看該作者
https://doi.org/10.1007/978-94-6300-818-1lization arises naturally due to the fact that real systems cannot be completely isolated from their environments and for this reason always experience external stochastic influence. Clearly, noise perturbation complicates the problem considerably.
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發(fā)表于 2025-3-22 14:33:28 | 只看該作者
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發(fā)表于 2025-3-22 18:06:36 | 只看該作者
https://doi.org/10.1007/978-1-4020-5910-0he computational point of view. And since we formulate the results in an abstract form, it is clear that for different types of precise models satisfying the imposed abstract hypotheses, these can be applied to the stabilization problem.
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