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Author : V. Komornik
Publisher : Elsevier Masson
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (91 download)
Download or read book Exact Controllability and Stabilization written by V. Komornik and published by Elsevier Masson. This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrique Zuazua
Publisher : Springer
ISBN 13 : 9783031588563
Total Pages : 0 pages
Book Rating : 4.5/5 (885 download)
Download or read book Exact Controllability and Stabilization of the Wave Equation written by Enrique Zuazua and published by Springer. This book was released on 2024-08-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Martin Gugat
Publisher :
ISBN 13 : 9783319188911
Total Pages : pages
Book Rating : 4.1/5 (889 download)
Download or read book Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems written by Martin Gugat and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Author : Weijiu Liu
Publisher : Springer Science & Business Media
ISBN 13 : 3642046134
Total Pages : 303 pages
Book Rating : 4.6/5 (42 download)
Download or read book Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation written by Weijiu Liu and published by Springer Science & Business Media. This book was released on 2009-12-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Giuseppe Da Prato
Publisher : CRC Press
ISBN 13 : 9780824798376
Total Pages : 354 pages
Book Rating : 4.7/5 (983 download)
Download or read book partial differential equation methods in control and shape analysis written by Giuseppe Da Prato and published by CRC Press. This book was released on 1997-02-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."
Author : Tatsien Li
Publisher : Springer Nature
ISBN 13 : 981970992X
Total Pages : 199 pages
Book Rating : 4.8/5 (197 download)
Download or read book Synchronization for Wave Equations with Locally Distributed Controls written by Tatsien Li and published by Springer Nature. This book was released on with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brezis
Publisher : CRC Press
ISBN 13 : 9780582238015
Total Pages : 252 pages
Book Rating : 4.2/5 (38 download)
Download or read book Nonlinear Partial Differential Equations and Their Applications written by Brezis and published by CRC Press. This book was released on 1994-08-04 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the texts of selected lectures delivered at weekly seminars at the College de France during the period 1991-93. The main theme of the papers is recent work in the field of partial differential equations - a field of growing importance both in pure and applied mathematics.
Author : Jacques Simon
Publisher : Springer
ISBN 13 : 3540461817
Total Pages : 278 pages
Book Rating : 4.5/5 (44 download)
Download or read book Control of Boundaries and Stabilization written by Jacques Simon and published by Springer. This book was released on 2006-02-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present proceedings volume is devoted to two subjects. Stabilization with emphasis on exact controllability: considering a physical system, such as a vibrating plate, one can reach a steady state in a finite time by acting on the boundary. Control of boundaries: given a physical system find the geometry of the domain (optimal shape) which minimizes a cost related to the solution of a boundary value problem in this domain, for example find a minimum drag profile. Many lectures included mathematical analysis as well as engineering applications and numerical simulation.
Author : S. Sivasundaram
Publisher : CRC Press
ISBN 13 : 0203298918
Total Pages : 344 pages
Book Rating : 4.2/5 (32 download)
Download or read book Advances in Dynamics and Control written by S. Sivasundaram and published by CRC Press. This book was released on 2004-04-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting research papers contributed by experts in dynamics and control, Advances in Dynamics and Control examines new ideas, reviews the latest results, and investigates emerging directions in the rapidly-growing field of aviation and aerospace. Exploring a wide range of topics, key areas discussed include:* rotorcraft dynamics* stabilization of
Author : Roland Glowinski
Publisher :
ISBN 13 : 9781107096073
Total Pages : 472 pages
Book Rating : 4.0/5 (96 download)
Download or read book Exact and Approximate Controllability for Distributed Parameter Systems written by Roland Glowinski and published by . This book was released on 2008-03-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.
Author : Bo Liu
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (319 download)
Download or read book The Regularity, Exact Boundary Controllability and Stabilization of a Membrane with Strings on General Polygonal Domains written by Bo Liu and published by . This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Isakov
Publisher : Springer Science & Business Media
ISBN 13 : 0387856528
Total Pages : 360 pages
Book Rating : 4.3/5 (878 download)
Download or read book Sobolev Spaces in Mathematics III written by Victor Isakov and published by Springer Science & Business Media. This book was released on 2008-12-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, marking the centenary of S.L. Sobolev’s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev.
Author : Fatiha Alabau-Boussouira
Publisher : Springer
ISBN 13 : 3642278930
Total Pages : 355 pages
Book Rating : 4.6/5 (422 download)
Download or read book Control of Partial Differential Equations written by Fatiha Alabau-Boussouira and published by Springer. This book was released on 2012-04-23 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.
Author : A Astolfi
Publisher : Elsevier
ISBN 13 : 9780080442785
Total Pages : 318 pages
Book Rating : 4.4/5 (427 download)
Download or read book Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 written by A Astolfi and published by Elsevier. This book was released on 2003-10-07 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods
Author : Robert Gulliver
Publisher : American Mathematical Soc.
ISBN 13 : 0821819275
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometric Methods in the Control of Partial Differential Equations written by Robert Gulliver and published by American Mathematical Soc.. This book was released on 2000 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers that were presented at the AMS-IMS-SIAM Joint Summer Research Conference on "Differential Geometric Methods in the Control of Partial Differential Equations", which was held at the University of Colorado in Boulder in June 1999. The aim of the conference was to explore the infusion of differential-geometric methods into the analysis of control theory of partial differential equations, particularly in the challenging case of variable coefficients, where the physical characteristics of the medium vary from point to point. While a mutually profitable link has been long established, for at least 30 years, between differential geometry and control of ordinary differential equations, a comparable relationship between differential geometry and control of partial differential equations (PDEs) is a new and promising topic. Very recent research, just prior to the Colorado conference, supported the expectation that differential geometric methods, when brought to bear on classes of PDE modelling and control problems with variable coefficients, will yield significant mathematical advances. The papers included in this volume - written by specialists in PDEs and control of PDEs as well as by geometers - collectively support the claim that the aims of the conference are being fulfilled. In particular, they endorse the belief that both subjects-differential geometry and control of PDEs-have much to gain by closer interaction with one another. Consequently, further research activities in this area are bound to grow.
Author : Alain Haraux
Publisher : Springer
ISBN 13 : 331978515X
Total Pages : 102 pages
Book Rating : 4.3/5 (197 download)
Download or read book Nonlinear Vibrations and the Wave Equation written by Alain Haraux and published by Springer. This book was released on 2018-05-02 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.
