Stabilization of Elastic Systems by Collocated Feedback

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Publisher : Springer
ISBN 13 : 3319109006
Total Pages : 189 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Stabilization of Elastic Systems by Collocated Feedback by : Kaïs Ammari

Download or read book Stabilization of Elastic Systems by Collocated Feedback written by Kaïs Ammari and published by Springer. This book was released on 2014-11-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.

Stability of Elastic Multi-Link Structures

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Publisher : Springer Nature
ISBN 13 : 3030863514
Total Pages : 146 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stability of Elastic Multi-Link Structures by : Kaïs Ammari

Download or read book Stability of Elastic Multi-Link Structures written by Kaïs Ammari and published by Springer Nature. This book was released on 2022-01-16 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stabilization for Some Fractional-Evolution Systems

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Publisher : Springer Nature
ISBN 13 : 3031173430
Total Pages : 73 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Stabilization for Some Fractional-Evolution Systems by : Kaïs Ammari

Download or read book Stabilization for Some Fractional-Evolution Systems written by Kaïs Ammari and published by Springer Nature. This book was released on 2022-10-19 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory.

Research in PDEs and Related Fields

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Publisher : Springer Nature
ISBN 13 : 3031142683
Total Pages : 192 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Research in PDEs and Related Fields by : Kaïs Ammari

Download or read book Research in PDEs and Related Fields written by Kaïs Ammari and published by Springer Nature. This book was released on 2022-11-07 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks given at the spring school "Trends in PDEs and Related Fields” held at the University of Sidi Bel Abbès, Algeria from 8-10 April 2019. In addition to providing an in-depth summary of these two areas, chapters also highlight breakthroughs on more specific topics such as: Sobolev spaces and elliptic boundary value problems Local energy solutions of the nonlinear wave equation Geometric control of eigenfunctions of Schrödinger operators Research in PDEs and Related Fields will be a valuable resource to graduate students and more junior members of the research community interested in control theory and analysis of PDEs.

Stabilization of Kelvin-Voigt Damped Systems

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Publisher : Springer Nature
ISBN 13 : 3031125193
Total Pages : 156 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Stabilization of Kelvin-Voigt Damped Systems by : Kaïs Ammari

Download or read book Stabilization of Kelvin-Voigt Damped Systems written by Kaïs Ammari and published by Springer Nature. This book was released on 2022-09-20 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines the stability of various coupled systems with local Kelvin-Voigt damping. The development of this area is thoroughly reviewed along with the authors’ contributions. New results are featured on the fundamental properties of solutions of linear transmission evolution PDEs involving Kelvin-Voigt damping, with special emphasis on the asymptotic behavior of these solutions. The vibrations of transmission problems are highlighted as well, making this a valuable resource for those studying this active area of research. The book begins with a brief description of the abstract theory of linear evolution equations with a particular focus on semigroup theory. Different types of stability are also introduced along with their connection to resolvent estimates. After this foundation is established, different models are presented for uni-dimensional and multi-dimensional linear transmission evolution partial differential equations with Kelvin-Voigt damping. Stabilization of Kelvin-Voigt Damped Systems will be a useful reference for researchers in mechanics, particularly those interested in the study of control theory of PDEs.

Control and Inverse Problems

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Publisher : Springer Nature
ISBN 13 : 3031356756
Total Pages : 276 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Control and Inverse Problems by : Kaïs Ammari

Download or read book Control and Inverse Problems written by Kaïs Ammari and published by Springer Nature. This book was released on 2023-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems” held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Controllability of dynamical systems Information transfer in multiplier equations Nonparametric instrumental regression Control of chained systems The damped wave equation Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.

Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements

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Publisher : Springer
ISBN 13 : 3319115324
Total Pages : 241 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements by : Alexander L. Zuyev

Download or read book Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements written by Alexander L. Zuyev and published by Springer. This book was released on 2014-11-04 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space Station Systems

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Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Space Station Systems by :

Download or read book Space Station Systems written by and published by . This book was released on 1986 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technology for Large Space Systems

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Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Technology for Large Space Systems by :

Download or read book Technology for Large Space Systems written by and published by . This book was released on 1983 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Experimental Validation of an Integrated Controls-structures Design Methodology for a Class of Flexible Space Structures

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Experimental Validation of an Integrated Controls-structures Design Methodology for a Class of Flexible Space Structures by :

Download or read book Experimental Validation of an Integrated Controls-structures Design Methodology for a Class of Flexible Space Structures written by and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

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Publisher : Springer
ISBN 13 : 3319303791
Total Pages : 777 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical and Computational Approaches in Advancing Modern Science and Engineering by : Jacques Bélair

Download or read book Mathematical and Computational Approaches in Advancing Modern Science and Engineering written by Jacques Bélair and published by Springer. This book was released on 2016-08-10 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Mechanics and Control of Solids and Structures

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Publisher : Springer Nature
ISBN 13 : 3030930769
Total Pages : 646 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mechanics and Control of Solids and Structures by : Vladimir A. Polyanskiy

Download or read book Mechanics and Control of Solids and Structures written by Vladimir A. Polyanskiy and published by Springer Nature. This book was released on 2022-04-22 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers prepared by the researches of the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS) on the occasion of the 30th anniversary of the establishment of the Institute. The IPME RAS is one of the leading research institutes of the Russian Academy of Sciences and consists of 18 research units (laboratories). The chapters cover the main research directions of the institute, including nano-,micro-, meso- and macro- mechanics and materials, with ,special emphasis on the problems of strength of materials and service life of structures.

Proceedings of the ... American Control Conference

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Publisher :
ISBN 13 :
Total Pages : 686 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the ... American Control Conference by :

Download or read book Proceedings of the ... American Control Conference written by and published by . This book was released on 1998 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cartesian Impedance Control of Redundant and Flexible-Joint Robots

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Publisher : Springer Science & Business Media
ISBN 13 : 3540692533
Total Pages : 198 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Cartesian Impedance Control of Redundant and Flexible-Joint Robots by : Christian Ott

Download or read book Cartesian Impedance Control of Redundant and Flexible-Joint Robots written by Christian Ott and published by Springer Science & Business Media. This book was released on 2008-07-22 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the dawn of the new millennium, robotics has undergone a major transf- mation in scope and dimensions. This expansion has been brought about by the maturity of the ?eld and the advances in its related technologies. From a largely dominant industrial focus, robotics has been rapidly expanding into the challenges of the human world. The new generation of robots is expected to safely and dependably co-habitat with humans in homes, workplaces, and c- munities, providing support in services, entertainment, education, healthcare, manufacturing, and assistance. Beyond its impact on physical robots, the body of knowledge robotics has produced is revealing a much wider rangeof applications reaching across diverse research areas and scienti?c disciplines, such as: biomechanics, haptics, n- rosciences, virtual simulation, animation, surgery, and sensor networks among others. In return, the challenges of the new emerging areas are proving an ab- dant source of stimulation and insights for the ?eld of robotics. It is indeed at the intersection of disciplines that the most striking advances happen. The goal of the series of Springer Tracts in Advanced Robotics (STAR) is to bring, in a timely fashion, the latest advances and developments in robotics on thebasisoftheirsigni?canceandquality.Itisourhopethatthewiderdissemi- tion of research developments will stimulate more exchanges and collaborations among the research community and contribute to further advancement of this rapidly growing ?eld.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1226 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt: