An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems
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An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher:
Release Date : 2018-10-22
An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems written by National Aeronautics and Space Adm Nasa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-22 with categories.
An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators (satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified) are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original finite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Banks, H. T. and Reich, Simeon and Rosen, I. G. Langley Research Center NAS1-18107; NAG1-517; RTOP 505-90-21-01...
An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems
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Author : H. T. Banks
language : en
Publisher:
Release Date : 1988
An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems written by H. T. Banks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators(satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified)are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original infinite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Keywords: Nonlinear distributed systems; Numerical analysis; Inverse problems; Approximation. (jhd).
An Approximation Theory For The Identification Of Nonlinear Degenerate Distributed Parameter Systems
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Author : Chaolin Mao
language : en
Publisher:
Release Date : 1991
An Approximation Theory For The Identification Of Nonlinear Degenerate Distributed Parameter Systems written by Chaolin Mao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Approximation theory categories.
Control Of Distributed Parameter Systems 1989
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Author : M. Amouroux
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Control Of Distributed Parameter Systems 1989 written by M. Amouroux and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Technology & Engineering categories.
This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994-08
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08 with Aeronautics categories.
Estimation Techniques For Distributed Parameter Systems
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Author : H.T. Banks
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Estimation Techniques For Distributed Parameter Systems written by H.T. Banks and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.
Control Of Distributed Parameter Systems 1982
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Author : Jean-Pierre Babary
language : en
Publisher: Elsevier
Release Date : 2014-05-16
Control Of Distributed Parameter Systems 1982 written by Jean-Pierre Babary and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Technology & Engineering categories.
Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Research Directions In Distributed Parameter Systems
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Author : Ralph C. Smith
language : en
Publisher: SIAM
Release Date : 2003-01-01
Research Directions In Distributed Parameter Systems written by Ralph C. Smith and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
Eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameter systems.
Technical Reports Awareness Circular Trac
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Author :
language : en
Publisher:
Release Date : 1988-08
Technical Reports Awareness Circular Trac written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08 with Science categories.
Systems Approaches In Computer Science And Mathematics
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Author : G.E. Lasker
language : en
Publisher: Elsevier
Release Date : 2014-05-20
Systems Approaches In Computer Science And Mathematics written by G.E. Lasker and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-20 with Mathematics categories.
Applied Systems and Cybernetics, Volume V: Systems Approaches in Computer Science and Mathematics covers the proceedings of the International Congress on Applied Systems Research and Cybernetics. This book discusses trends and advances in the application of systems science and cybernetics to various fields. This volume reviews the systems approaches in computer science and mathematics and concentrates on several major areas of systems research in computer science and theoretical and applied mathematics. This book will be of great interest to computer scientists interested in the development of the theories and applications of computer science.