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:
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.
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.
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:
Download or read book Dynamics of Quasi Stable Dissipative Systems written by Igor Chueshov and published by Springer. This book was released on 2015-09-29 with total page 405 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.
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.
Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Download or read book On Dissipative Systems and Set Stability written by Marc Cromme and published by . This book was released on 1998 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Dynamic Stability of Nonconservative Dissipative Systems written by Anthony N. Kounadis and published by . This book was released on 2007 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Dynamical Systems Classic Reprint written by George David Birkhoff and published by Forgotten Books. This book was released on 2018-04-05 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Dynamical Systems Normal form for completely stable systems. Proof of the lemma of section 5 Reversibility and complete stability Other types of stability. 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.
Download or read book Classical and Quantum Dissipative Systems written by Mohsen Razavy and published by Imperial College Press. This book was released on 2006-01-17 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, that classical dissipative forces can also be derived from solvable many-body problems. A detailed discussion of these derived forces and their dependence on dynamical variables is also presented. The second part of this book investigates the use of classical formulation in the quantization of dynamical systems under the influence of dissipative forces. The results show that, while a satisfactory solution to the problem cannot be found, different formulations represent different approximations to the complete solution of two interacting systems. The third and final part of the book focuses on the problem of dissipation in interacting quantum mechanical systems, as well as the connection of some of these models to their classical counterparts. A number of important applications, such as the theory of heavy-ion scattering and the motion of a radiating electron, are also discussed. Sample Chapter(s). Chapter 1: Introduction (87 KB). Contents: Phenomenological Equations of Motion for Dissipative Systems; Lagrangian Formulations; Hamiltonian Formulation; Hamilton-Jacobi Formulation; Motion of a Charged Particle in an External Electromagnetic Field in the Presence of Damping; Noether and Non-Noether Symmetries and Conservation Laws; Dissipative Forces Derived from Many-Body Problems; A Particle Coupled to a Field; Damped Motion of the Central Particle; Classical Microscopic Models of Dissipation and Minimal Coupling Rule; Quantization of Dissipative Systems; Quantization of Explicitly Time-Dependent Hamiltonian; Density Matrix and the Wigner Distribution Function; Path Integral Formulation of a Damped Harmonic Oscillator; Quantization of the Motion of an Infinite Chain; The Heisenberg Equations of Motion for a Particle Coupled to a Heat Bath; Quantum Mechanical Models of Dissipative Systems; More on the Concept of Optical Potential. Readership: Researchers and graduate students in applied mathematics and theoretical physics.
Download or read book Stability of Axially Moving Materials written by Nikolay Banichuk and published by Springer Nature. This book was released on 2019-09-05 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the stability of axially moving materials, which are encountered in process industry applications such as papermaking. A special emphasis is given to analytical and semianalytical approaches. As preliminaries, we consider a variety of problems across mechanics involving bifurcations, allowing to introduce the techniques in a simplified setting. In the main part of the book, the fundamentals of the theory of axially moving materials are presented in a systematic manner, including both elastic and viscoelastic material models, and the connection between the beam and panel models. The issues that arise in formulating boundary conditions specifically for axially moving materials are discussed. Some problems involving axially moving isotropic and orthotropic elastic plates are analyzed. Analytical free-vibration solutions for axially moving strings with and without damping are derived. A simple model for fluid--structure interaction of an axially moving panel is presented in detail. This book is addressed to researchers, industrial specialists and students in the fields of theoretical and applied mechanics, and of applied and computational mathematics.
Download or read book Stability of Quasi linear Hyperbolic Dissipative Systems written by Heinz Kreiss and published by . This book was released on 1996 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Stabilization of Nonlinear Systems written by Iasson Karafyllis and published by Springer Science & Business Media. This book was released on 2011-04-02 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer. This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Download or read book A Dissipative Dynamical Systems Approach to the Stability Analysis of Time delay Systems written by Ajeet Kamath and published by . This book was released on 2003 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
