Stability Of Dissipative Systems

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Networks of Dissipative Systems

Author : Murat Arcak
Publisher : Springer
ISBN 13 : 331929928X
Total Pages : 105 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Networks of Dissipative Systems by : Murat Arcak

Download or read book Networks of Dissipative Systems written by Murat Arcak and published by Springer. This book was released on 2016-03-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dissipative Systems Analysis and Control

Author : Bernard Brogliato
Publisher : Springer
ISBN 13 : 9781848005525
Total Pages : 579 pages
Book Rating : 4.0/5 (55 download)

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Book Synopsis Dissipative Systems Analysis and Control by : Bernard Brogliato

Download or read book Dissipative Systems Analysis and Control written by Bernard Brogliato and published by Springer. This book was released on 2009-10-12 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Dissipative Systems

Author : E. M. Barston
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stability of Dissipative Systems by : E. M. Barston

Download or read book Stability of Dissipative Systems written by E. M. Barston and published by . This book was released on 1968 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability of Dissipative Systems (Classic Reprint)

Author : Eugene M. Barston
Publisher :
ISBN 13 : 9781332903108
Total Pages : 34 pages
Book Rating : 4.9/5 (31 download)

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Book Synopsis Stability of Dissipative Systems (Classic Reprint) by : Eugene M. Barston

Download or read book Stability of Dissipative Systems (Classic Reprint) written by Eugene M. Barston and published by . This book was released on 2016-06-25 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Stability of Dissipative Systems Let E be a linear inner product space with inner product and P, K, and H linear formally self adjoint operators (independent of the parameter t) with domains dp, 2mp K. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Bifurcation and Stability of Dissipative Systems

Author : Q.S. Nguyen
Publisher : Springer
ISBN 13 : 3709127122
Total Pages : 296 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Bifurcation and Stability of Dissipative Systems by : Q.S. Nguyen

Download or read book Bifurcation and Stability of Dissipative Systems written by Q.S. Nguyen and published by Springer. This book was released on 2014-05-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Dissipative Systems

Author : Eugene M. Barston
Publisher : Palala Press
ISBN 13 : 9781341849169
Total Pages : 28 pages
Book Rating : 4.8/5 (491 download)

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Book Synopsis Stability of Dissipative Systems by : Eugene M. Barston

Download or read book Stability of Dissipative Systems written by Eugene M. Barston and published by Palala Press. This book was released on 2015-09-07 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Stability of Nonlinear Dissipative Systems

Author : D. Hill
Publisher :
ISBN 13 : 9780725902001
Total Pages : pages
Book Rating : 4.9/5 (2 download)

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Book Synopsis The Stability of Nonlinear Dissipative Systems by : D. Hill

Download or read book The Stability of Nonlinear Dissipative Systems written by D. Hill and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability and Control of Large-Scale Dynamical Systems

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400842662
Total Pages : 389 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Stability and Control of Large-Scale Dynamical Systems by : Wassim M. Haddad

Download or read book Stability and Control of Large-Scale Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-11-14 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.

Dissipative Structures and Weak Turbulence

Author :
Publisher : Academic Press
ISBN 13 : 008092445X
Total Pages : 505 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dissipative Structures and Weak Turbulence by :

Download or read book Dissipative Structures and Weak Turbulence written by and published by Academic Press. This book was released on 2014-06-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Attractors Under Discretisation

Author : Xiaoying Han
Publisher : Springer
ISBN 13 : 3319619349
Total Pages : 121 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Attractors Under Discretisation by : Xiaoying Han

Download or read book Attractors Under Discretisation written by Xiaoying Han and published by Springer. This book was released on 2017-08-11 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.

Dissipative Systems Analysis and Control

Author : Bernard Brogliato
Publisher : Springer
ISBN 13 : 3030194205
Total Pages : 720 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Dissipative Systems Analysis and Control by : Bernard Brogliato

Download or read book Dissipative Systems Analysis and Control written by Bernard Brogliato and published by Springer. This book was released on 2019-07-03 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Economic Nonlinear Model Predictive Control

Author : Timm Faulwasser
Publisher : Foundations and Trends in Systems and Control
ISBN 13 : 9781680833928
Total Pages : 118 pages
Book Rating : 4.8/5 (339 download)

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Book Synopsis Economic Nonlinear Model Predictive Control by : Timm Faulwasser

Download or read book Economic Nonlinear Model Predictive Control written by Timm Faulwasser and published by Foundations and Trends in Systems and Control. This book was released on 2018-01-12 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, Economic Model Predictive Control (EMPC) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in EMPC. In this context EMPC is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives. This survey provides a comprehensive overview of EMPC stability results: with and without terminal constraints, with and without dissipativity assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches.

Semigroups Associated with Dissipative Systems

Author : Z Liu
Publisher : CRC Press
ISBN 13 : 9780849306150
Total Pages : 228 pages
Book Rating : 4.3/5 (61 download)

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Book Synopsis Semigroups Associated with Dissipative Systems by : Z Liu

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.

Theory of Functional Differential Equations

Author : Jack K. Hale
Publisher : Springer Science & Business Media
ISBN 13 : 146129892X
Total Pages : 374 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Functional Differential Equations by : Jack K. Hale

Download or read book Theory of Functional Differential Equations written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.

Asymptotic Behavior of Dissipative Systems

Author : Jack K. Hale
Publisher : American Mathematical Soc.
ISBN 13 : 0821849344
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Asymptotic Behavior of Dissipative Systems by : Jack K. Hale

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.

Dynamics of Quasi-Stable Dissipative Systems

Author : Igor Chueshov
Publisher :
ISBN 13 : 9783319229041
Total Pages : pages
Book Rating : 4.2/5 (29 download)

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Book Synopsis Dynamics of Quasi-Stable Dissipative Systems by : Igor Chueshov

Download or read book Dynamics of Quasi-Stable Dissipative Systems written by Igor Chueshov and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Switching in Systems and Control

Author : Daniel Liberzon
Publisher : Springer Science & Business Media
ISBN 13 : 1461200172
Total Pages : 232 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Switching in Systems and Control by : Daniel Liberzon

Download or read book Switching in Systems and Control written by Daniel Liberzon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.