Semigroups Associated With Dissipative Systems

Author : Z Liu
Publisher : CRC Press
ISBN 13 : 9780849306150
Total Pages : 228 pages
Book Rating : 4.59/5 ( download)

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Download or read book Semigroups Associated with Dissipative Systems written by Z Liu and published by CRC Press. This book was released on 1999-01-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by applications to control theory and to the theory of partial differential equations (PDE's), the authors examine the exponential stability and analyticity of C0-semigroups associated with various dissipative systems. They present a unique, systematic approach in which they prove exponential stability by combining a theory from semigroup theory with partial differential equation techniques, and use an analogous theorem with PDE techniques to prove analyticity. The result is a powerful but simple tool useful in determining whether these properties will preserve for a given dissipative system. The authors show that the exponential stability is preserved for all the mechanical systems considered in this book-linear, one-dimensional thermoelastic, viscoelastic and thermoviscoelastic systems, plus systems with shear or friction damping. However, readers also learn that this property does not hold true for linear three-dimensional systems without making assumptions on the domain and initial data, and that analyticity is a more sensitive property, not preserved even for some of the systems addressed in this study.

Author : Usa) Zhuangyi Liu (University of Minnesota
Publisher :
ISBN 13 : 9780582308602
Total Pages : pages
Book Rating : 4.07/5 ( download)

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Download or read book Semigroups Associated with Dissipative Systems written by Usa) Zhuangyi Liu (University of Minnesota and published by . This book was released on 1998-12-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Klaus-Jochen Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387313419
Total Pages : 257 pages
Book Rating : 4.12/5 ( download)

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Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Author : Yuming Qin
Publisher : Springer
ISBN 13 : 981101714X
Total Pages : 200 pages
Book Rating : 4.48/5 ( download)

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Download or read book Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models written by Yuming Qin and published by Springer. This book was released on 2016-07-29 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.

Author : András Bátkai
Publisher : Birkhäuser
ISBN 13 : 3319428136
Total Pages : 364 pages
Book Rating : 4.30/5 ( download)

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Download or read book Positive Operator Semigroups written by András Bátkai and published by Birkhäuser. This book was released on 2017-02-13 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Author : Fabio Casciati
Publisher : John Wiley & Sons
ISBN 13 : 9780471489801
Total Pages : 214 pages
Book Rating : 4.08/5 ( download)

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Download or read book Proceedings of the Third World Conference on Structural Control written by Fabio Casciati and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized by the International Association for Structural Control(IASC), and sponsored by the European Association for the Controlof Structures (EACS), the recent world conference on structuralcontrol (3WCSC) brought together engineers, scientists, architects,builders and other practitioners interested in the general fieldsof active, hybrid and passive vibration control, health monitoringand damage detection, intelligent/smart materials and systems.Applications included buildings, bridges, space structures andcivil infrastructures under the action of dynamic environments(earthquake, wind, traffic...) and man-made loads. It provideda valuable forum for the discussion of the most pressing concernsin structural control and its related topics. The conference covered a wide range of topics including activeand semi-active control devices, passive control devices, controlalgorithms for linear and non-linear systems, modeling andidentification of structural systems, sensors, health monitoringand damage detection, benchmark test of building and bridges,innovative materials for structural control, applications toaerospace structures, applications to bridges, applications tocritical structures, external dynamic force characteristics andcontrollability issues, implications of severe ground motions, windforces, codes for structural control, and so forth. Suchcomprehensive treatment of the most innovative developments instructural control will make these volumes an informative referencefor all researchers and engineers interested in this area. Proceedings of the US - Europe Workshop On Sensors andSmart Structures Technology Como and Somma Lombardo, Italy In the last few years, significant progress has been made in thearea of sensing technology and structural healthmonitoring/condition assessment in the US and Europe. Innovativeconcepts involving new hardware, algorithms, and software have beenproposed. There have also been several full-scale trialimplementations of densely sensor-instrumented infrastructures andhealth monitoring systems, as well as case studies on bridges inEurope and in the US. Much can be learnt through US/European collaboration in the areaof experimental verification on small, medium, large and full-scaleprojects. Moreover, a common framework for expanded future jointresearch can be developed on the increased understanding achievedthrough mutual learning. This workshop consisted of seminar sessions on several themeswhich included innovative sensing hardware, advances in wirelesstechnology, and damage detection/characterization and conditionassessment methodologies. In addition, there were several workshopsessions devoted to summarizing the status of the sensors and smartstructures technologies in these topics, identifying the compellingresearch issues, and formulating an action plan withrecommendations for development and implementation through possiblecollaborative research projects and sharing of scientific data.

Author : Antonio Loría
Publisher : Springer Science & Business Media
ISBN 13 : 9781846283130
Total Pages : 312 pages
Book Rating : 4.32/5 ( download)

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Download or read book Advanced Topics in Control Systems Theory written by Antonio Loría and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected contributions by lecturers at the third annual Formation d’Automatique de Paris. It provides a well-integrated synthesis of the latest thinking in nonlinear optimal control, observer design, stability analysis and structural properties of linear systems, without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe.

Author : Jack K. Hale
Publisher : American Mathematical Soc.
ISBN 13 : 0821849344
Total Pages : 210 pages
Book Rating : 4.47/5 ( download)

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Download or read book Asymptotic Behavior of Dissipative Systems written by Jack K. Hale and published by American Mathematical Soc.. This book was released on 2010-01-04 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the researchers interested in the subject. --Zentralblatt MATH Although advanced, this book is a very good introduction to the subject, and the reading of the abstract part, which is elegant, is pleasant. ... this monograph will be of valuable interest for those who aim to learn in the very rapidly growing subject of infinite-dimensional dissipative dynamical systems. --Mathematical Reviews This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor.

Author : Tatsien Li
Publisher : Springer Nature
ISBN 13 : 303032849X
Total Pages : 324 pages
Book Rating : 4.98/5 ( download)

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Download or read book Boundary Synchronization for Hyperbolic Systems written by Tatsien Li and published by Springer Nature. This book was released on 2019-12-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems.

Author : Thomas Meurer
Publisher : Springer Science & Business Media
ISBN 13 : 9783540279389
Total Pages : 440 pages
Book Rating : 4.85/5 ( download)

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Download or read book Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems written by Thomas Meurer and published by Springer Science & Business Media. This book was released on 2005-09-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bio–) chemical engineering, and fluid dynamics. The unique combination of results of finite as well as infinite–dimensional systems makes this book a remarkable contribution addressing postgraduates, researchers, and engineers both at universities and in industry. The contributions to this book were presented at the Symposium on Nonlinear Control and Observer Design: From Theory to Applications (SYNCOD), held September 15–16, 2005, at the University of Stuttgart, Germany. The conference and this book are dedicated to the 65th birthday of Prof. Dr.–Ing. Dr.h.c. Michael Zeitz to honor his life – long research and contributions on the fields of nonlinear control and observer design.