Control Of Boundaries And Stabilization

Download Control Of Boundaries And Stabilization full books in PDF, epub, and Kindle. Read online Control Of Boundaries And Stabilization ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

Author : Martin Gugat
Publisher : Birkhäuser
ISBN 13 : 3319188909
Total Pages : 143 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!

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 143 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.

Control of Boundaries and Stabilization

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

DOWNLOAD NOW!

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.

Theory of Stabilization for Linear Boundary Control Systems

Author : Takao Nambu
Publisher : CRC Press
ISBN 13 : 1315350785
Total Pages : 107 pages
Book Rating : 4.3/5 (153 download)

DOWNLOAD NOW!

Book Synopsis Theory of Stabilization for Linear Boundary Control Systems by : Takao Nambu

Download or read book Theory of Stabilization for Linear Boundary Control Systems written by Takao Nambu and published by CRC Press. This book was released on 2017-03-03 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading to an explicit design of the feedback scheme. The problem of output stabilization is discussed, and some interesting results are developed when the observability or the controllability conditions are not satisfied.

Control of Boundaries and Stabilization

Author : Jacques Simon
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.:/5 (64 download)

DOWNLOAD NOW!

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 . This book was released on 1989 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Author : Pierluigi Colli
Publisher : Springer
ISBN 13 : 3319644890
Total Pages : 572 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs by : Pierluigi Colli

Download or read book Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs written by Pierluigi Colli and published by Springer. This book was released on 2017-11-03 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.

Boundary Stabilization of Parabolic Equations

Author : Ionuţ Munteanu
Publisher : Springer
ISBN 13 : 3030110990
Total Pages : 214 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Boundary Stabilization of Parabolic Equations by : Ionuţ Munteanu

Download or read book Boundary Stabilization of Parabolic Equations written by Ionuţ Munteanu and published by Springer. This book was released on 2019-02-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling. The text provides answers to the following problems, which are of great practical importance: Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state Designing observers for the considered control systems Constructing time-discrete controllers requiring only partial knowledge of the state After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more. Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.

Boundary Stabilization of Thin Plates

Author : John E. Lagnese
Publisher : SIAM
ISBN 13 : 9781611970821
Total Pages : 184 pages
Book Rating : 4.9/5 (78 download)

DOWNLOAD NOW!

Book Synopsis Boundary Stabilization of Thin Plates by : John E. Lagnese

Download or read book Boundary Stabilization of Thin Plates written by John E. Lagnese and published by SIAM. This book was released on 1989-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents one of the main directions of research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics. Important progress has been made in this area, driven, to a large extent, by problems in modern structural engineering that require active feedback control mechanisms to stabilize structures which may possess only very weak natural damping. Much of the progress is due to the development of new methods to analyze the stabilizing effects of specific feedback mechanisms. Boundary Stabilization of Thin Plates provides a comprehensive and unified treatment of asymptotic stability of a thin plate when appropriate stabilizing feedback mechanisms acting through forces and moments are introduced along a part of the edge of the plate. In particular, primary emphasis is placed on the derivation of explicit estimates of the asymptotic decay rate of the energy of the plate that are uniform with respect to the initial energy of the plate, that is, on uniform stabilization results. The method that is systematically employed throughout this book is the use of multipliers as the basis for the derivation of a priori asymptotic estimates on plate energy. It is only in recent years that the power of the multiplier method in the context of boundary stabilization of hyperbolic partial differential equations came to be realized. One of the more surprising applications of the method appears in Chapter 5, where it is used to derive asymptotic decay rates for the energy of the nonlinear von Karman plate, even though the technique is ostensibly a linear one.

Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Author : Georges Bastin
Publisher : Birkhäuser
ISBN 13 : 3319320629
Total Pages : 317 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Stability and Boundary Stabilization of 1-D Hyperbolic Systems by : Georges Bastin

Download or read book Stability and Boundary Stabilization of 1-D Hyperbolic Systems written by Georges Bastin and published by Birkhäuser. This book was released on 2016-07-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in real live applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.

Tangential Boundary Stabilization of Navier-Stokes Equations

Author : Viorel Barbu
Publisher : American Mathematical Soc.
ISBN 13 : 0821838741
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Tangential Boundary Stabilization of Navier-Stokes Equations by : Viorel Barbu

Download or read book Tangential Boundary Stabilization of Navier-Stokes Equations written by Viorel Barbu and published by American Mathematical Soc.. This book was released on 2006 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to inject dissipation as to force local exponential stabilization of the steady-state solutions, an Optimal Control Problem (OCP) with a quadratic cost functional over an infinite time-horizon is introduced for the linearized N-S equations. As a result, the same Riccati-based, optimal boundary feedback controller which is obtained in the linearized OCP is then selected and implemented also on the full N-S system. For $d=3$, the OCP falls definitely outside the boundaries of established optimal control theory for parabolic systems with boundary controls, in that the combined index of unboundedness--between the unboundedness of the boundary control operator and the unboundedness of the penalization or observation operator--is strictly larger than $\tfrac{3}{2}$, as expressed in terms of fractional powers of the free-dynamics operator. In contrast, established (and rich) optimal control theory [L-T.2] of boundary control parabolic problems and corresponding algebraic Riccati theory requires a combined index of unboundedness strictly less than 1. An additional preliminary serious difficulty to overcome lies at the outset of the program, in establishing that the present highly non-standard OCP--with the aforementioned high level of unboundedness in control and observation operators and subject, moreover, to the additional constraint that the controllers be pointwise tangential--be non-empty; that is, it satisfies the so-called Finite Cost Condition [L-T.2].

Boundary Control of PDEs

Author : Miroslav Krstic
Publisher : SIAM
ISBN 13 : 0898718600
Total Pages : 197 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Boundary Control of PDEs by : Miroslav Krstic

Download or read book Boundary Control of PDEs written by Miroslav Krstic and published by SIAM. This book was released on 2008-01-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs.

Mechanics and Control

Author : R.S. Guttalu
Publisher : Springer Science & Business Media
ISBN 13 : 1461524253
Total Pages : 345 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Mechanics and Control by : R.S. Guttalu

Download or read book Mechanics and Control written by R.S. Guttalu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop on Control Mechanics has been held at the University of South ern California annually since 1988 under the leadership of late Professor Janislaw M. Skowronski. The primary goal of Professor Skowronski in organizing this series of work shops was to promote the use of advanced mechanics method in control theory with a special emphasis on the control of nonlinear mechanical systems subject to uncertainty. This goal has been achieved through a consistent participation of a large number of researchers in the field of control and mechanics and an intensive exchange of their ideas. Professor Skowronski passed away unexpectedly on March 21, 1992, after the conclusion of the Fifth Workshop. The great success of the Fifth Workshop as well as the entire Control Mechanics Workshops over the years is almost exclusively due to his dedication, enthusiasm, and organizational capabilities. His untimely demise is a great loss to us and to the mechanics and control community. The proceedings of the Fifth Workshop presented in this volume are dedicated to Professor Angelo Miele, one of the pioneers and ,a leading contributor in many fields of control theory and its applications. His contribution spans a wide range of topics such as optimization theory, flight mechanics, astrodynamics, ocean engineering, and numerical methods. The presentations in the workshop reflected many of the areas in which Professor Miele has been active. The papers included in this volume are divided into three major groups of topics.

Theory of Stabilization for Linear Boundary Control Systems

Author : Takao Nambu
Publisher : CRC Press
ISBN 13 : 1498758487
Total Pages : 285 pages
Book Rating : 4.4/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Theory of Stabilization for Linear Boundary Control Systems by : Takao Nambu

Download or read book Theory of Stabilization for Linear Boundary Control Systems written by Takao Nambu and published by CRC Press. This book was released on 2017-03-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading to an explicit design of the feedback scheme. The problem of output stabilization is discussed, and some interesting results are developed when the observability or the controllability conditions are not satisfied.

Control Of Partial Differential Equations

Author : Jean-michel Coron
Publisher : World Scientific
ISBN 13 : 981127164X
Total Pages : 315 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Control Of Partial Differential Equations by : Jean-michel Coron

Download or read book Control Of Partial Differential Equations written by Jean-michel Coron and published by World Scientific. This book was released on 2023-04-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly a collection of lecture notes for the 2021 LIASFMA International Graduate School on Applied Mathematics. It provides the readers some important results on the theory, the methods, and the application in the field of 'Control of Partial Differential Equations'. It is useful for researchers and graduate students in mathematics or control theory, and for mathematicians or engineers with an interest in control systems governed by partial differential equations.

Control of Turbulent and Magnetohydrodynamic Channel Flows

Author : Rafael Vazquez
Publisher : Springer Science & Business Media
ISBN 13 : 0817646981
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

Book Synopsis Control of Turbulent and Magnetohydrodynamic Channel Flows by : Rafael Vazquez

Download or read book Control of Turbulent and Magnetohydrodynamic Channel Flows written by Rafael Vazquez and published by Springer Science & Business Media. This book was released on 2008 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "backstepping" approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. The work is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in these fields.

Flow Past Highly Compliant Boundaries and in Collapsible Tubes

Author : Peter W. Carpenter
Publisher : Springer Science & Business Media
ISBN 13 : 140201161X
Total Pages : 340 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Flow Past Highly Compliant Boundaries and in Collapsible Tubes by : Peter W. Carpenter

Download or read book Flow Past Highly Compliant Boundaries and in Collapsible Tubes written by Peter W. Carpenter and published by Springer Science & Business Media. This book was released on 2003-03-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IUTAM Symposium on Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries was held on 26-30 March, 2001, at the University of Warwick. As this was the first scientific meeting of its kind we considered it important to mark the occasion by producing a book. Accordingly, at the end of the Symposium the Scientific Committee met to discuss the most appropriate format for the book. We wished to avoid the format of the conventional conference book consisting of a large number of short articles of varying quality. It was agreed that instead we should produce a limited number of rigorously refereed and edited articles by selected participants who would aim to sum up the state of the art in their particular research area. The outcome is the present book. Peter W. Ca rpenter, Warwick Timothy J. Pedley, Cambridge May, 2002. VB SCIENTIFIC COMMITTEE Co-Chair: P.W. Carpenter, Engineering, Warwiek, UK Co-Chair: TJ. Pedley, DAMTP, Cambridge, UK V.V. Babenko, Hydromechanics, Kiev, Ukraine R. Bannasch, Bionik & Evolutionstechnik, TU Berlin, Germany C.D. Bertram, Biomedical Engineering, New South Wales, Australia M. Gad-el-Hak, Aerospace & Mechanical Engineering, Notre Dame, USA J.B. Grotberg, Biomedical Engineering, Michigan, USA. R.D. Kamm, Mechanical Engineering, MIT, USA Y. Matsuzaki, Aerospace Engineering, N agoya, Japan P.K. Sen, Applied Mechanics, IIT Delhi, India L. van Wijngaarden, Twente, Netherlands K-S. Yeo, Mechanical Engineering, NU Singapore.

NBS Special Publication

Author :
Publisher :
ISBN 13 :
Total Pages : 944 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary-layer Stability Diagrams for Electrically Conducting Fluids in the Presence of a Magnetic Field

Author : Vernon J. Rossow
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

DOWNLOAD NOW!

Book Synopsis Boundary-layer Stability Diagrams for Electrically Conducting Fluids in the Presence of a Magnetic Field by : Vernon J. Rossow

Download or read book Boundary-layer Stability Diagrams for Electrically Conducting Fluids in the Presence of a Magnetic Field written by Vernon J. Rossow and published by . This book was released on 1959 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutral stability curves pertaining to a two-dimensional infinitesimal sinusoidal disturbance are presented for the laminar flow of an incompressible, electrically conducting fluid over a semi-infinite flat plate in the presence of either a coplanar or transverse magnetic field. The magnetic field is found to be stabilizing in all of the cases studied except one.