General Problem of the Stability Of Motion

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Publisher : CRC Press
ISBN 13 : 9780748400621
Total Pages : 284 pages
Book Rating : 4.4/5 (6 download)

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Book Synopsis General Problem of the Stability Of Motion by : A M Lyapunov

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.

Landmark Writings in Western Mathematics 1640-1940

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Publisher : Elsevier
ISBN 13 : 9780080457444
Total Pages : 1040 pages
Book Rating : 4.4/5 (574 download)

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Book Synopsis Landmark Writings in Western Mathematics 1640-1940 by : Ivor Grattan-Guinness

Download or read book Landmark Writings in Western Mathematics 1640-1940 written by Ivor Grattan-Guinness and published by Elsevier. This book was released on 2005-02-11 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field

Stability of Motion

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Publisher : Elsevier
ISBN 13 : 1483266761
Total Pages : 216 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stability of Motion by : A. M. Liapunov

Download or read book Stability of Motion written by A. M. Liapunov and published by Elsevier. This book was released on 2016-06-03 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 30: Stability of Motion deals with the problem of stability of motion. This volume investigates the problem of stability of the unperturbed motion in cases such as the system of differential equations for the perturbed motion is autonomie and the characteristic equation of the linear system that gives the first approximation has a double zero root. When the order of the system is larger than two (n > 2), all the remaining roots have negative real parts. The double root corresponds to a multiple elementary divisor of the characteristic matrix. This book is a good reference for mathematicians, students, and specialists conducting work on the stability of motion.

Stability of Motion by A M Liapunov

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Publisher : Elsevier
ISBN 13 : 9780080955377
Total Pages : 322 pages
Book Rating : 4.9/5 (553 download)

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Book Synopsis Stability of Motion by A M Liapunov by : A. M. Liapunov

Download or read book Stability of Motion by A M Liapunov written by A. M. Liapunov and published by Elsevier. This book was released on 2000-04-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Theory of Stability of Motion

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Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory of Stability of Motion by : Ioėlʹ Gilʹevich Malkin

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:

Stability of Motion

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Publisher : Springer Science & Business Media
ISBN 13 : 3642500854
Total Pages : 459 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Stability of Motion by : Wolfgang Hahn

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.

The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

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Publisher : Springer Science & Business Media
ISBN 13 : 3642884121
Total Pages : 352 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point by : Eugene Leimanis

Download or read book The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point written by Eugene Leimanis and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.

NASA Technical Translation

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Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NASA Technical Translation by :

Download or read book NASA Technical Translation written by and published by . This book was released on 1959 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Stability

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Publisher : Springer Science & Business Media
ISBN 13 : 1461240468
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to the Theory of Stability by : David R. Merkin

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.

Introduction to the Technical Theory of Stability of Motion

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Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.X/5 ( download)

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Book Synopsis Introduction to the Technical Theory of Stability of Motion by : Konstantin Andreevich Karacharov

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.

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

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Publisher : Elsevier
ISBN 13 : 1483290832
Total Pages : 375 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stability, Bifurcation and Postcritical Behaviour of Elastic Structures by : M. Pignataro

Download or read book Stability, Bifurcation and Postcritical Behaviour of Elastic Structures written by M. Pignataro and published by Elsevier. This book was released on 2013-10-22 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both nonlinear algebraic and differential equations is discussed and adopted as the main tool for postbuckling analysis. The formulation of the buckling problem for the most common engineering structures - rods and frames, plates, shells, and thin-walled beams, is performed and the critical load evaluated for problems of interest. In many cases the postbuckling analysis up to the second order is presented. The use of the Ritz-Galerkin and of the finite element methods is examined as a tool for approximate bifurcation analysis. The volume will provide an up-to-date introduction for non-specialists in elastic stability theory and methods, and is intended for graduate and post-graduate students and researchers interested in nonlinear structural analysis problems. Basic prerequisites are kept to a minimum, a familiarity with elementary algebra and calculus is all that is required of readers to make use of this book.

Global Nonlinear Dynamics for Engineering Design and System Safety

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Publisher : Springer
ISBN 13 : 3319997106
Total Pages : 318 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Global Nonlinear Dynamics for Engineering Design and System Safety by : Stefano Lenci

Download or read book Global Nonlinear Dynamics for Engineering Design and System Safety written by Stefano Lenci and published by Springer. This book was released on 2018-09-24 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which exploits concepts and tools of global nonlinear dynamics for bridging the gap between theoretical and practical stability of systems/structures, and for possibly enhancing the engineering design in macro-, micro- and nano-mechanics. Addressed topics include complementing theoretical and practical stability to achieve load carrying capacity; dynamical integrity for analyzing global dynamics, for interpreting/predicting experimental behavior, for getting hints towards engineering design; techniques for control of chaos; response of uncontrolled and controlled system/models in applied mechanics and structural dynamics by also considerung the effect of system imperfections; from relatively simple systems to multidimensional models representative of real world applications; potential and expected impact of global dynamics for engineering design.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods for Robust and Nonlinear Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1848000251
Total Pages : 444 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Mathematical Methods for Robust and Nonlinear Control by : Matthew C. Turner

Download or read book Mathematical Methods for Robust and Nonlinear Control written by Matthew C. Turner and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The underlying theory on which much modern robust and nonlinear control is based can be difficult to grasp. This volume is a collection of lecture notes presented by experts in advanced control engineering. The book is designed to provide a better grounding in the theory underlying several important areas of control. It is hoped the book will help the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems.

Nonlinear Dynamical Systems and Control

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Publisher : Princeton University Press
ISBN 13 : 1400841046
Total Pages : 975 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Nonlinear Dynamical Systems and Control by : Wassim M. Haddad

Download or read book Nonlinear Dynamical Systems and Control written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-09-19 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

A History of Mechanical Engineering

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Publisher : Springer Nature
ISBN 13 : 981150833X
Total Pages : 563 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis A History of Mechanical Engineering by : Ce Zhang

Download or read book A History of Mechanical Engineering written by Ce Zhang and published by Springer Nature. This book was released on 2020-01-03 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of mechanical engineering since the Bronze Age. Focusing on machinery inventions and the development of mechanical technology, it also discusses the machinery industry and modern mechanical education. The evolution of machinery is divided into three stages: Ancient (before the European Renaissance), Modern (mainly including the two Industrial Revolutions) and Contemporary (since the Revolution in Physics, especially post Second World War). The book not only clarifies the development of mechanical engineering, but also reveals the driving forces behind it – e.g. the economy, national defense and human scientific research activities – to highlight the links between technology and society; mechanical engineering and the natural sciences; and mechanical engineering and related technological areas. Though mainly intended as a textbook or supplemental reading for graduate students, the book also offers a unique resource for researchers and engineers in mechanical engineering who wish to broaden their horizons.

Intelligent Transportation Systems

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Publisher : CRC Press
ISBN 13 : 0203009940
Total Pages : 188 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis Intelligent Transportation Systems by : Sumit Ghosh

Download or read book Intelligent Transportation Systems written by Sumit Ghosh and published by CRC Press. This book was released on 2000-01-27 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many transportation systems, the cost of expanding the infrastructure is too high. Therefore, engineers must shift their focus to improving the quality of transportation within the existing infrastructure. Focusing on highway and railway systems, Intelligent Transportation Systems: New Principles and Architectures provides a radically different