书目名称 | Controllability and Stabilization of Parabolic Equations |
编辑 | Viorel Barbu |
视频video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-3-319-76666-9 |
isbn_softcover | 978-3-030-09550-5 |
isbn_ebook | 978-3-319-76666-9Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
issn_series | 1421-1750 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |