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Author : Ioėlʹ Gilʹevich Malkin
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.X/5 (1 download)
Download or read book On the Stability of Motion in the Sense of Lyapunov written by Ioėlʹ Gilʹevich Malkin and published by . This book was released on 1951 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. G. Malkin
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.E/5 ( download)
Download or read book On the Stability of Motion in the Sense of Lyapunow written by I. G. Malkin and published by . This book was released on 1951 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Leonid Grigorʹevich Khazin
Publisher : Manchester University Press
ISBN 13 : 9780719027055
Total Pages : 232 pages
Book Rating : 4.0/5 (27 download)
Download or read book Stability of Critical Equilibrium States written by Leonid Grigorʹevich Khazin and published by Manchester University Press. This book was released on 1991 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the stability of equilibrium states in nonlinear ordinary differential equations, specifically in cases where a linear approximation is insufficient to determine whether the equilibrium is stable or not. Beginning with a basic introduction, it will be useful to researchers, scientists & engineers working in applications without a background in nonlinear analysis. The latter part is directed at mathematicians & specialists in mechanics interested in the general theory of stability of motion & the problems of nonlinear analysis. Features an extensive discussion of all twenty of the critical & near- critical cases for systems of low co-dimensions & an examination of the stability of equilibrium states of Hamiltonian systems.
Author : A. M. Liapunov
Publisher : Elsevier
ISBN 13 : 1483266761
Total Pages : 216 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Anatoliy A. Martynyuk
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110605295
Total Pages : 205 pages
Book Rating : 4.1/5 (16 download)
Download or read book Dynamics and Stability of Motion of Shock and Hybrid Systems written by Anatoliy A. Martynyuk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-15 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Buy this book on degruyter.com“A href="https://www.degruyter.com/viewbooktoc/product/538686">https://www.degruyter.com/viewbooktoc/product/538686
Author : Nikolaĭ Gurʹevich Chetaev
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Stability of Motion written by Nikolaĭ Gurʹevich Chetaev and published by . This book was released on 1961 with total page 220 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 : José Mildred Castro
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.E/5 ( download)
Download or read book Stability in Autonomous Systems written by José Mildred Castro and published by . This book was released on 1970 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E Ya Smirnov
Publisher : CRC Press
ISBN 13 : 1482282933
Total Pages : 280 pages
Book Rating : 4.4/5 (822 download)
Download or read book Stabilization of Programmed Motion written by E Ya Smirnov and published by CRC Press. This book was released on 2000-09-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a particular aspect of control theory-stabilization of programmed motion. Methods of the construction and synthesis of stabilizing controls are introduced together with original results and useful examples. The problem of optimal stabilization control synthesis is solved for linear systems of difference equations with quadratic
Author : A. M. Liapunov
Publisher : Elsevier
ISBN 13 : 0080955371
Total Pages : 217 pages
Book Rating : 4.0/5 (89 download)
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 217 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; andmethods 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 particularbranches, 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
Author : V.I. Vorotnikov
Publisher : Springer Science & Business Media
ISBN 13 : 1461241502
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)
Download or read book Partial Stability and Control written by V.I. Vorotnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.
Author : V. Lakshmikantham
Publisher : World Scientific
ISBN 13 : 9789810203566
Total Pages : 228 pages
Book Rating : 4.2/5 (35 download)
Download or read book Practical Stability of Nonlinear Systems written by V. Lakshmikantham and published by World Scientific. This book was released on 1990 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.
Author : David N. Cheban
Publisher : Nova Publishers
ISBN 13 : 9781626189416
Total Pages : 287 pages
Book Rating : 4.1/5 (894 download)
Download or read book Lyapunov Stability of Non-Autonomous Dynamical Systems written by David N. Cheban and published by Nova Publishers. This book was released on 2013 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The foundation of the modern theory of stability was created in the works of A. Poincare and A.M. Lyapunov. The theory of the stability of motion has gained increasing significance in the last decade as is apparent from the large number of publications on the subject. A considerable part of these works are concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering, which first gave the decisive impetus for the expansion and modern development of stability theory. This book contains a systematic exposition of the elements of the asymptotic stability theory of general non-autonomous dynamical systems in metric spaces with an emphasis on the application for different classes of non-autonomous evolution equations (Ordinary Differential Equations (ODEs), Difference Equations (DEs), Functional-Differential Equations (FDEs), Semi-Linear Parabolic Equations etc). The basic results of this book are contained in the courses of lectures which the author has given during many years for the students of the State University of Moldova. This book is intended for mathematicians (scientists and university professors) who are working in the field of stability theory of differential/difference equations, dynamical systems and control theory. It would also be of use for the graduate and post graduate student who is interested in the theory of dynamical systems and its applications. The reader needs no deep knowledge of special branches of mathematics, although it should be easier for readers who know the fundamentals concepts of the theory of metric spaces, qualitative theory of differential/difference equations and dynamical systems.
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 : Vladimir Ivanovich Zubov
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.X/5 (1 download)
Download or read book Methods of A. M. Lyapunov and Their Application written by Vladimir Ivanovich Zubov and published by . This book was released on 1961 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolai Nikolaevich Krasovskii
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (859 download)
Download or read book Stability of motion : applications of Lyapunov's second method to differential systems and equations with delay written by Nikolai Nikolaevich Krasovskii and published by . This book was released on 1963 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
