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| Author | : Enrique Zuazua |
| Publisher | : Springer Nature |
| Total Pages | : 144 |
| Release | : |
| Genre | : |
| ISBN | : 3031588576 |
| Author | : V. Komornik |
| Publisher | : Elsevier Masson |
| Total Pages | : 172 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : |
| Author | : Enrique Zuazua |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2024-08-26 |
| Genre | : Mathematics |
| ISBN | : 9783031588563 |
This comprehensive monograph illustrates the intricate realm of controllability and stabilization of wave phenomena. Authored by an expert in the field, this book integrates J. L. Lion's renowned HUM method, multiplier techniques, and the construction of Lyapunov functionals. Through meticulous analysis and practical applications, this book provides invaluable insights for researchers seeking to navigate the expansive domain of wave-like equations and their control. Whether you are a seasoned mathematician or a newcomer to the field, this book serves as an indispensable guide, offering a thorough introduction and essential tools for understanding and controlling wave phenomena.
| Author | : A. Eljendy |
| Publisher | : |
| Total Pages | : 25 |
| Release | : 1992 |
| Genre | : |
| ISBN | : |
| Author | : Caroline Fabre |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1990 |
| Genre | : |
| ISBN | : |
| Author | : Martin Gugat |
| Publisher | : |
| Total Pages | : |
| Release | : 2015 |
| Genre | : |
| ISBN | : 9783319188911 |
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization. Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples. To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled. Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.
| Author | : Jean-Pierre Puel |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1990 |
| Genre | : |
| ISBN | : |
| Author | : Weijiu Liu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2009-12-01 |
| Genre | : Mathematics |
| ISBN | : 3642046134 |
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
| Author | : Bo Liu |
| Publisher | : |
| Total Pages | : 204 |
| Release | : 1998 |
| Genre | : |
| ISBN | : |
| Author | : Roland Glowinski |
| Publisher | : |
| Total Pages | : 472 |
| Release | : 2008-03-20 |
| Genre | : MATHEMATICS |
| ISBN | : 9781107096073 |
A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.
