Stability Of Dissipative Systems
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Stability Of Dissipative Systems
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Author : E. M. Barston
language : en
Publisher:
Release Date : 1968
Stability Of Dissipative Systems written by E. M. Barston and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Collisionless plasmas categories.
Bifurcation And Stability Of Dissipative Systems
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Author : Q.S. Nguyen
language : en
Publisher: Springer
Release Date : 2014-05-04
Bifurcation And Stability Of Dissipative Systems written by Q.S. Nguyen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the generalized standard model are given and their connection to Hill’s general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.
Networks Of Dissipative Systems
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Author : Murat Arcak
language : en
Publisher: Springer
Release Date : 2016-03-01
Networks Of Dissipative Systems written by Murat Arcak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-01 with Technology & Engineering categories.
This book addresses a major problem for today’s large-scale networked systems: certification of the required stability and performance properties using analytical and computational models. On the basis of illustrative case studies, it demonstrates the applicability of theoretical methods to biological networks, vehicle fleets, and Internet congestion control. Rather than tackle the network as a whole —an approach that severely limits the ability of existing methods to cope with large numbers of physical components— the book develops a compositional approach that derives network-level guarantees from key structural properties of the components and their interactions. The foundational tool in this approach is the established dissipativity theory, which is reviewed in the first chapter and supplemented with modern computational techniques. The book blends this theory with the authors’ recent research efforts at a level that is accessible to graduate students and practising engineers familiar with only the most basic nonlinear systems concepts. Code associated with the numerical examples can be downloaded at extras.springer.com, allowing readers to reproduce the examples and become acquainted with the relevant software.
The Stability Of Nonlinear Dissipative Systems
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Author : D. Hill
language : en
Publisher:
Release Date : 1975
The Stability Of Nonlinear Dissipative Systems written by D. Hill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Nonlinear systems categories.
Stability And Control Of Large Scale Dynamical Systems
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Author : Wassim M. Haddad
language : en
Publisher: Princeton University Press
Release Date : 2011-12-04
Stability And Control Of Large Scale Dynamical Systems written by Wassim M. Haddad and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-04 with Mathematics categories.
Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of technological, environmental, and social phenomena. This book develops stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems.
Dynamics Of Quasi Stable Dissipative Systems
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Author : Igor Chueshov
language : en
Publisher:
Release Date : 2015
Dynamics Of Quasi Stable Dissipative Systems written by Igor Chueshov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Dissipative Systems Analysis And Control
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Author : Bernard Brogliato
language : en
Publisher: Springer
Release Date : 2019-07-03
Dissipative Systems Analysis And Control written by Bernard Brogliato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Technology & Engineering categories.
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Dissipative Systems Analysis And Control
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Author : Rogelio Lozano
language : en
Publisher: Springer
Release Date : 2000-06-14
Dissipative Systems Analysis And Control written by Rogelio Lozano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-14 with Computers categories.
This book deals with the analysis and feedback control of dissipative dynamical systems. It constitutes an advanced introduction to the topic, an introduction that is aimed at readers interested in the applications of dissipative systems theory within systems, control, and robotics. It presents the reader with a thorough treatment of the background to dissipative systems theory. It examines linear and nonlinear systems, providing comprehensive examples of these in each chapter. Some infinite-dimensional and nonsmooth examples are also included. Throughout the book the emphasis is placed on the application of dissipative dynamical systems towards the design of stable feedback control laws. The theory is consistently illustrated by physical examples, (Lagrangian and Hamiltonian systems are thoroughly covered, as are adaptive controllers). The book shows how the dissipative properties of a system can be used in the design of stable feedback controllers. These theoretical developments are backed up by experimental results. It includes chapters on: • Positive Real Systems • The Kalman-Yakubovich-Popov Lemma • Dissipative Systems • Passivity-Based Control • Adaptive Control
Dissipative Systems Analysis And Control
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Author : Bernard Brogliato
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-24
Dissipative Systems Analysis And Control written by Bernard Brogliato 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 2006-11-24 with Technology & Engineering categories.
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Asymptotic Behavior Of Dissipative Systems
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Author : Jack K. Hale
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-01-04
Asymptotic Behavior Of Dissipative Systems written by Jack K. Hale and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-04 with Mathematics categories.
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.