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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 : 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 : 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 :
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (12 download)
Download or read book An introduction to the theory of stability of motion written by and published by . This book was released on 2000 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : Evgeniĭ Alekseevich Barbashin
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to the Theory of Stability written by Evgeniĭ Alekseevich Barbashin and published by . This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anand Pillay
Publisher : Courier Corporation
ISBN 13 : 0486150437
Total Pages : 164 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Stability Theory written by Anand Pillay and published by Courier Corporation. This book was released on 2013-05-17 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.
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 : Horst Leipholz
Publisher : Springer
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.F/5 ( download)
Download or read book Stability Theory written by Horst Leipholz and published by Springer. This book was released on 1987-03 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been great advances in theory of stability in recent decades due to the requirements of control theory and flight mechanics, for example. We need only mention the theory of A. M. Lyapunov. A number of specialists have given a very mathematical and abstract description of the Lyapunov stability theory which resulted in a 'stability theory of motion' applicable to the kinetics of rigid bodies and systems. The stability theory of elastomechanics was developed independently. However, there have been a number of important developments in recent years, also with respect to this theory, dealing with the following problems: The concept of the 'follower forces', non-conservative loads, respectively, has been introduced in aeroelasticity. A number of prob lems in elastic kinetics that involve pulsating loads or periodically varying parameters has led to new stability questions. So-called 'kinetic' methods have become necessary in elastomechnics in order to determine the stability bound aries. An evaluation of the stability criteria of elastostatics, which have been assumed to be generally valid, has shown that they can only be applied to a limited number of problems under special assumptions. The transition from stability to instability is a kinetic process in elastomechanics. Therefore, the most general and most certain method of determining stability is the kinetic stability criterion even if in special cases the classical stability criteria of elastostatics may remain valid. This will be discussed in detail in Section 2. 3.
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 : N.P. Bhatia
Publisher : Springer Science & Business Media
ISBN 13 : 9783540427483
Total Pages : 252 pages
Book Rating : 4.4/5 (274 download)
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."
Author : William J. Terrell
Publisher : Princeton University Press
ISBN 13 : 9780691134444
Total Pages : 484 pages
Book Rating : 4.1/5 (344 download)
Download or read book Stability and Stabilization written by William J. Terrell and published by Princeton University Press. This book was released on 2009-02-15 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 0387217401
Total Pages : 461 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Author : Gennady A Leonov
Publisher : World Scientific
ISBN 13 : 981449058X
Total Pages : 182 pages
Book Rating : 4.8/5 (144 download)
Download or read book Mathematical Problems Of Control Theory: An Introduction written by Gennady A Leonov and published by World Scientific. This book was released on 2001-11-28 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics.In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given.
Author : Ioėlʹ Gilʹevich Malkin
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (669 download)
Download or read book Theory of Stability in Motion written by Ioėlʹ Gilʹevich Malkin and published by . This book was released on 1963 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
