Exact Controllability and Stabilization

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Author :
Publisher : Elsevier Masson
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Exact Controllability and Stabilization by : V. Komornik

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:

Exact Controllability and Stabilization of the Wave Equation

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Author :
Publisher : Springer
ISBN 13 : 9783031588563
Total Pages : 0 pages
Book Rating : 4.5/5 (885 download)

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Book Synopsis Exact Controllability and Stabilization of the Wave Equation by : Enrique Zuazua

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.

Exact Controllability and Stabilization of Hyperbolic Systems Through Boundary Control

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Publisher :
ISBN 13 : 9789516807600
Total Pages : 14 pages
Book Rating : 4.8/5 (76 download)

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Book Synopsis Exact Controllability and Stabilization of Hyperbolic Systems Through Boundary Control by : Ahmed Eljendy

Download or read book Exact Controllability and Stabilization of Hyperbolic Systems Through Boundary Control written by Ahmed Eljendy and published by . This book was released on 1992 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Controllability and Stabilization of Parabolic Equations

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Publisher : Springer
ISBN 13 : 331976666X
Total Pages : 226 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Controllability and Stabilization of Parabolic Equations by : Viorel Barbu

Download or read book Controllability and Stabilization of Parabolic Equations written by Viorel Barbu and published by Springer. This book was released on 2018-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319188909
Total Pages : 140 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems by : Martin Gugat

Download or read book Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems written by Martin Gugat and published by Birkhäuser. This book was released on 2015-07-15 with total page 140 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.

The Regularity, Exact Boundary Controllability and Stabilization of a Membrane with Strings on General Polygonal Domains

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Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis The Regularity, Exact Boundary Controllability and Stabilization of a Membrane with Strings on General Polygonal Domains by : Bo Liu

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:

Control of Boundaries and Stabilization

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Author :
Publisher : Springer
ISBN 13 : 3540461817
Total Pages : 278 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Control of Boundaries and Stabilization by : Jacques Simon

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.

Computation and Applied Mathematics

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Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4./5 ( download)

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Book Synopsis Computation and Applied Mathematics by :

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1998 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Control Systems Handbook

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Publisher : CRC Press
ISBN 13 : 1420073656
Total Pages : 1800 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Control Systems Handbook by : William S. Levine

Download or read book The Control Systems Handbook written by William S. Levine and published by CRC Press. This book was released on 2018-10-03 with total page 1800 pages. Available in PDF, EPUB and Kindle. Book excerpt: At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition organizes cutting-edge contributions from more than 200 leading experts. The third volume, Control System Advanced Methods, includes design and analysis methods for MIMO linear and LTI systems, Kalman filters and observers, hybrid systems, and nonlinear systems. It also covers advanced considerations regarding — Stability Adaptive controls System identification Stochastic control Control of distributed parameter systems Networks and networked controls As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances. Progressively organized, the first two volumes in the set include: Control System Fundamentals Control System Applications

The Control Handbook (three volume set)

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Publisher : CRC Press
ISBN 13 : 1420073672
Total Pages : 3526 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Control Handbook (three volume set) by : William S. Levine

Download or read book The Control Handbook (three volume set) written by William S. Levine and published by CRC Press. This book was released on 2018-10-08 with total page 3526 pages. Available in PDF, EPUB and Kindle. Book excerpt: At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.

Periodic Feedback Stabilization for Linear Periodic Evolution Equations

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Publisher : Springer
ISBN 13 : 3319492381
Total Pages : 127 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Periodic Feedback Stabilization for Linear Periodic Evolution Equations by : Gengsheng Wang

Download or read book Periodic Feedback Stabilization for Linear Periodic Evolution Equations written by Gengsheng Wang and published by Springer. This book was released on 2017-02-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations. Secondly, it identifies several criteria for the periodic feedback stabilization from the perspective of geometry, algebra and analyses respectively. Next, it describes several ways to design periodic feedback laws. Lastly, the book introduces readers to key methods for designing the control machines. Given its coverage and scope, it offers a helpful guide for graduate students and researchers in the areas of control theory and applied mathematics.

partial differential equation methods in control and shape analysis

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Publisher : CRC Press
ISBN 13 : 1482273616
Total Pages : 348 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis partial differential equation methods in control and shape analysis by : Giuseppe Da Prato

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 348 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."

Exact and Approximate Controllability for Distributed Parameter Systems

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Publisher :
ISBN 13 : 9781107096073
Total Pages : 472 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Exact and Approximate Controllability for Distributed Parameter Systems by : Roland Glowinski

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.

Stability and Stabilization of Infinite Dimensional Systems with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1447104196
Total Pages : 412 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Stability and Stabilization of Infinite Dimensional Systems with Applications by : Zheng-Hua Luo

Download or read book Stability and Stabilization of Infinite Dimensional Systems with Applications written by Zheng-Hua Luo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robots arms and large space structures. Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the equations. Many new theorems and methods are included in the book. Proof procedures of existing theorems are simplified, and detailed proofs have been given to most theorems. New results on semigroups and their stability are presented, and readers can learn several useful techniques for solving practical engineering problems. Until now, the recently obtained research results included in this book were unavailable in one volume. This self-contained book is an invaluable source of information for all those who are familiar with some basic theorems of functional analysis.

Differential Geometric Methods in the Control of Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821819275
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometric Methods in the Control of Partial Differential Equations by : Robert Gulliver

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.

Control of Distributed Parameter and Stochastic Systems

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Publisher : Springer
ISBN 13 : 0387353593
Total Pages : 334 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Control of Distributed Parameter and Stochastic Systems by : Shuping Chen

Download or read book Control of Distributed Parameter and Stochastic Systems written by Shuping Chen and published by Springer. This book was released on 2013-06-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications. Among the subjects covered are: Control of distributed parameter systems; Stochastic control; Applications in finance/insurance/manufacturing; Adapted control; Numerical approximation . It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.

Inverse Problems and Related Topics

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Publisher : CRC Press
ISBN 13 : 9781584881919
Total Pages : 268 pages
Book Rating : 4.8/5 (819 download)

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Book Synopsis Inverse Problems and Related Topics by : Gen Nakamura

Download or read book Inverse Problems and Related Topics written by Gen Nakamura and published by CRC Press. This book was released on 2000-02-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.