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Author : Ioėlʹ Gilʹevich Malkin
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theory of Stability of Motion written by Ioėlʹ Gilʹevich Malkin and published by . This book was released on 1959 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Hahn
Publisher : Springer Science & Business Media
ISBN 13 : 3642500854
Total Pages : 459 pages
Book Rating : 4.6/5 (425 download)
Download or read book Stability of Motion written by Wolfgang Hahn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the stability of motion has gained increasing signifi cance in the last decades as is apparent from the large number of publi cations on the subject. A considerable part of this work is concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering were the ones which first gave the decisin' impetus for the expansion and modern development of stability theory. In comparison with the many single publications, which are num bered in the thousands, the number of books on stability theory, and especially books not \\Titten in Russian, is extraordinarily small. Books which giw the student a complete introduction into the topic and which simultaneously familiarize him with the newer results of the theory and their applications to practical questions are completely lacking. I hope that the book which I hereby present will to some extent do justice to this double task. I haw endeavored to treat stability theory as a mathe matical discipline, to characterize its methods, and to prove its theorems rigorollsly and completely as mathematical theorems. Still I always strove to make reference to applications, to illustrate the arguments with examples, and to stress the interaction between theory and practice. The mathematical preparation of the reader should consist of about two to three years of university mathematics.
Author : David R. Merkin
Publisher : Springer Science & Business Media
ISBN 13 : 1461240468
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to the Theory of Stability written by David R. Merkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.
Author : A M Lyapunov
Publisher : CRC Press
ISBN 13 : 9780748400621
Total Pages : 284 pages
Book Rating : 4.4/5 (6 download)
Download or read book General Problem of the Stability Of Motion written by A M Lyapunov and published by CRC Press. This book was released on 1992-08-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes more widely accessible the text of Lyapunov's major memoir of the general problem of the stability of motion. Translated by A. T. Fuller (University of Cambridge), the work is now available for the first time in the English language, and marked the centenary of the Russian publication in the late 1800s. Including a biography of Lyapunov and a comprehensive bibliography of his work, this excellent volume will prove to be of fundamental interest to all those concerned with the concept of the stability of motion, boundaries of stability, and with nonlinear dynamics.
Author : I. G. Malkin
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.:/5 (652 download)
Download or read book Theory of Stability of Motion written by I. G. Malkin and published by . This book was released on 1900 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David R. Merkin
Publisher : Springer
ISBN 13 : 9781461240471
Total Pages : 320 pages
Book Rating : 4.2/5 (44 download)
Download or read book Introduction to the Theory of Stability written by David R. Merkin and published by Springer. This book was released on 2011-09-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.
Author : Konstantin Andreevich Karacharov
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.X/5 ( download)
Download or read book Introduction to the Technical Theory of Stability of Motion written by Konstantin Andreevich Karacharov and published by . This book was released on 1965 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Criteria of stability are established with the help of the differential method both with and without using values of roots of characteristic equation.
Author : Clive L. Dym
Publisher : Courier Dover Publications
ISBN 13 : 9780486425412
Total Pages : 0 pages
Book Rating : 4.4/5 (254 download)
Download or read book Stability Theory and Its Applications to Structural Mechanics written by Clive L. Dym and published by Courier Dover Publications. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integration of modern work in structural stability theory, this volume focuses on the Koiter postbuckling analyses, with mathematical notions of stability of motion. In relation to discrete and continuous systems, it bases the minimum energy principles for static stability upon the dynamic concepts of stability of motion. It further develops the asymptotic buckling and postbuckling analyses from potential energy considerations, with applications to columns, plates, and arches.
Author : Junji Kato
Publisher : Routledge
ISBN 13 : 1351414852
Total Pages : 280 pages
Book Rating : 4.3/5 (514 download)
Download or read book Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations) written by Junji Kato and published by Routledge. This book was released on 2019-09-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Author : Abdel'chak S. Galiullin
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (861 download)
Download or read book An introduction to the theory of stability of motion written by Abdel'chak S. Galiullin and published by . This book was released on 2000 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. A. Pliss
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.F/5 ( download)
Download or read book Certain Problems in the Theory of Stability of Motion in the Whole written by V. A. Pliss and published by . This book was released on 1958 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vangipuram Lakshmikantham
Publisher : Birkhäuser
ISBN 13 : 3319272004
Total Pages : 339 pages
Book Rating : 4.3/5 (192 download)
Download or read book Stability Analysis of Nonlinear Systems written by Vangipuram Lakshmikantham and published by Birkhäuser. This book was released on 2015-12-29 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Author : Anatoly Martynyuk
Publisher : CRC Press
ISBN 13 : 1466570865
Total Pages : 230 pages
Book Rating : 4.4/5 (665 download)
Download or read book Weakly Connected Nonlinear Systems written by Anatoly Martynyuk and published by CRC Press. This book was released on 2012-11-20 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. It contains many essential results needed for carrying out research on nonlinear systems of weakly connected equations. After supplying the necessary mathematical foundation, the book illustrates recent approaches to studying the boundedness of motion of weakly connected nonlinear systems. The authors consider conditions for asymptotic and uniform stability using the auxiliary vector Lyapunov functions and explore the polystability of the motion of a nonlinear system with a small parameter. Using the generalization of the direct Lyapunov method with the asymptotic method of nonlinear mechanics, they then study the stability of solutions for nonlinear systems with small perturbing forces. They also present fundamental results on the boundedness and stability of systems in Banach spaces with weakly connected subsystems through the generalization of the direct Lyapunov method, using both vector and matrix-valued auxiliary functions. Designed for researchers and graduate students working on systems with a small parameter, this book will help readers get up to date on the knowledge required to start research in this area.
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Author :
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (18 download)
Download or read book Certain Problems in Theory of Stability of Motion in the Whole [with List of References] written by and published by . This book was released on 1965 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Teodor M. Atanackovic
Publisher : World Scientific
ISBN 13 : 9810230540
Total Pages : 441 pages
Book Rating : 4.8/5 (12 download)
Download or read book Stability Theory of Elastic Rods written by Teodor M. Atanackovic and published by World Scientific. This book was released on 1997 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 0387765433
Total Pages : 445 pages
Book Rating : 4.3/5 (877 download)
Download or read book Stability and Wave Motion in Porous Media written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
