An introduction to the theory of stability of motion
Title | An introduction to the theory of stability of motion PDF eBook |
Author | Abdel'chak S. Galiullin |
Publisher | |
Pages | 94 |
Release | 2000 |
Genre | |
ISBN |
Stability of Motion
Title | Stability of Motion PDF eBook |
Author | Wolfgang Hahn |
Publisher | Springer Science & Business Media |
Pages | 459 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642500854 |
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.
Introduction to the Theory of Stability
Title | Introduction to the Theory of Stability PDF eBook |
Author | David R. Merkin |
Publisher | Springer |
Pages | 320 |
Release | 2011-09-30 |
Genre | Mathematics |
ISBN | 9781461240471 |
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.
An introduction to the theory of stability of motion
Title | An introduction to the theory of stability of motion PDF eBook |
Author | |
Publisher | |
Pages | 94 |
Release | 2000 |
Genre | |
ISBN |
Theory of Stability of Motion
Title | Theory of Stability of Motion PDF eBook |
Author | Ioėlʹ Gilʹevich Malkin |
Publisher | |
Pages | 474 |
Release | 1959 |
Genre | Motion |
ISBN |
Introduction to the Theory of Stability
Title | Introduction to the Theory of Stability PDF eBook |
Author | David R. Merkin |
Publisher | Springer Science & Business Media |
Pages | 334 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461240468 |
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.
Introduction to the Technical Theory of Stability of Motion
Title | Introduction to the Technical Theory of Stability of Motion PDF eBook |
Author | Konstantin Andreevich Karacharov |
Publisher | |
Pages | 266 |
Release | 1965 |
Genre | Motion |
ISBN |
Criteria of stability are established with the help of the differential method both with and without using values of roots of characteristic equation.