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Titlebook: Controllability and Stabilization of Parabolic Equations; Viorel Barbu Book 2018 Springer International Publishing AG, part of Springer Na

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发表于 2025-3-21 18:36:15 | 显示全部楼层 |阅读模式
书目名称Controllability and Stabilization of Parabolic Equations
编辑Viorel Barbu
视频videohttp://file.papertrans.cn/238/237450/237450.mp4
概述Provides a survey of available techniques for stabilizing parabolic boundary value problems.Draws from the author‘s years of lectures and teaching on control theory for parabolic equations.Discusses t
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Controllability and Stabilization of Parabolic Equations;  Viorel Barbu Book 2018 Springer International Publishing AG, part of Springer Na
描述This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. .Intended for graduate students and researchers working on control problems involving nonlinear differential equations, .Controllability and Stabilization of Parabolic Equations. is the distillation of years of lectures and research. With a minimum of preliminaries, the book l
出版日期Book 2018
关键词parabolic equations; controllability and stabilization methods in control theory; control engineering;
版次1
doihttps://doi.org/10.1007/978-3-319-76666-9
isbn_softcover978-3-030-09550-5
isbn_ebook978-3-319-76666-9Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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发表于 2025-3-21 22:14:32 | 显示全部楼层
https://doi.org/10.1007/978-3-662-36275-4This chapter is concerned with the Carleman estimates for the backward linear parabolic equations on smooth and bounded domains of . which implies observability that, as seen earlier, is the main tool to investigate the exact controllability of the forward parabolic controlled system.
发表于 2025-3-22 01:09:42 | 显示全部楼层
Verzeichnis der Käfer SchlesiensThe stabilization of fluid flows and, in particular, of Navier–Stokes equations was extensively studied via the Riccati-based approach in the last decade and the main references are the works.
发表于 2025-3-22 05:03:29 | 显示全部楼层
Preliminaries,Here we survey for later use some basic existence results for the infinite dimensional Cauchy problem, semilinear parabolic-like boundary value problems, and infinite dimensional control systems.
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发表于 2025-3-23 00:28:51 | 显示全部楼层
https://doi.org/10.1007/978-3-662-36275-4bolic equations on smooth domains of . The exact controllability of linear stochastic parabolic equations with linear multiplicative Gaussian noise is also briefly studied. The main ingredient to exact controllability is theobservability inequality for the dual parabolic equations established in Chapter ..
发表于 2025-3-23 03:56:44 | 显示全部楼层
Verzeichnis der Käfer Schlesiens is that such an equation is stabilizable by a feedback controller with finite dimensional structure dependent of the unstable spectrum of the corresponding linearized system around the equilibrium solution.
发表于 2025-3-23 09:30:32 | 显示全部楼层
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