Partial Stabilization And Control Of Distributed Parameter Systems With Elastic Elements
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Partial Stabilization And Control Of Distributed Parameter Systems With Elastic Elements
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Author : Alexander L. Zuyev
language : en
Publisher: Springer
Release Date : 2014-11-04
Partial Stabilization And Control Of Distributed Parameter Systems With Elastic Elements written by Alexander L. Zuyev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-04 with Technology & Engineering categories.
This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system. The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator. Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold. Academic researchers and graduate students interested in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.
Stabilization Of Distributed Parameter Systems Design Methods And Applications
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Author : Grigory Sklyar
language : en
Publisher: Springer Nature
Release Date : 2021-03-01
Stabilization Of Distributed Parameter Systems Design Methods And Applications written by Grigory Sklyar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-01 with Science categories.
This book presents recent results and envisages new solutions of the stabilization problem for infinite-dimensional control systems. Its content is based on the extended versions of presentations at the Thematic Minisymposium “Stabilization of Distributed Parameter Systems: Design Methods and Applications” at ICIAM 2019, held in Valencia from 15 to 19 July 2019. This volume aims at bringing together contributions on stabilizing control design for different classes of dynamical systems described by partial differential equations, functional-differential equations, delay equations, and dynamical systems in abstract spaces. This includes new results in the theory of nonlinear semigroups, port-Hamiltonian systems, turnpike phenomenon, and further developments of Lyapunov's direct method. The scope of the book also covers applications of these methods to mathematical models in continuum mechanics and chemical engineering. It is addressed to readers interested in control theory, differential equations, and dynamical systems.
Stability Of Elastic Multi Link Structures
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Author : Kaïs Ammari
language : en
Publisher: Springer Nature
Release Date : 2022-01-16
Stability Of Elastic Multi Link Structures written by Kaïs Ammari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-16 with Mathematics categories.
This brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
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 1995 with Aeronautics categories.
Technology For Large Space Systems
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Author :
language : en
Publisher:
Release Date : 1988
Technology For Large Space Systems 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 with Large space structures (Astronautics) categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1970
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mechanics, Applied categories.
The Shock And Vibration Digest
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Author :
language : en
Publisher:
Release Date : 1990
The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Shock (Mechanics) categories.
30 Years Review Of China S Science And Technology 1949 1979
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Author :
language : en
Publisher: World Scientific
Release Date : 1982-01-01
30 Years Review Of China S Science And Technology 1949 1979 written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Science categories.
This is the 1st China's Science Yearbook published since 1949. It covers events, activities and progresses in various fields of science and technology from 1949 to 1979. Published in conjunction with Shanghai Scientific Publishing Co., it was compiled and edited by a research team from 'Nature Magazine', Shanghai, People's Republic of China.
Control Of Vibration And Noise
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Author : Horn S. Tzou
language : en
Publisher:
Release Date : 2000
Control Of Vibration And Noise written by Horn S. Tzou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
Modeling And Analysis Of Linear Hyperbolic Systems Of Balance Laws
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Author : Krzysztof Bartecki
language : en
Publisher: Springer
Release Date : 2015-12-21
Modeling And Analysis Of Linear Hyperbolic Systems Of Balance Laws written by Krzysztof Bartecki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Technology & Engineering categories.
This monograph focuses on the mathematical modeling of distributed parameter systems in which mass/energy transport or wave propagation phenomena occur and which are described by partial differential equations of hyperbolic type. The case of linear (or linearized) 2 x 2 hyperbolic systems of balance laws is considered, i.e., systems described by two coupled linear partial differential equations with two variables representing physical quantities, depending on both time and one-dimensional spatial variable. Based on practical examples of a double-pipe heat exchanger and a transportation pipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the same spatial point, and anti-collocated, in which the input signals are applied to the two different end points of the system. The results of this book emerge from the practical experience of the author gained during his studies conducted in the experimental installation of a heat exchange center as well as from his research experience in the field of mathematical and computer modeling of dynamic systems. The book presents valuable results concerning their state-space, transfer function and time-domain representations, which can be useful both for the open-loop analysis as well as for the closed-loop design. The book is primarily intended to help professionals as well as undergraduate and postgraduate students involved in modeling and automatic control of dynamic systems.