3 edition of Stability and oscillations of nonlinear pulse-modulated systems found in the catalog.
Includes bibliographical references (p. -359) and index.
|Statement||Arkadii Kh. Gelig, Alexander N. Churilov|
|Contributions||Churilov, Alexander N., 1953-|
|LC Classifications||QA402.35 .G45 1998|
|The Physical Object|
|Pagination||xvi, 362 p. :|
|Number of Pages||362|
|ISBN 10||081763987X, 376433987X|
|LC Control Number||98004535|
One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance. Find many great new & used options and get the best deals for Stability and Oscillations of Nonlinear Pulse-Modulated Systems by Arkadii at the best online prices at eBay! Free shipping for many products!
1 Nonlinear Physical Systems 1 Introduction 1 Examples of Nonlinear Physical Systems 2 Dimensionless Form of Differential Equations 15 Exact Solution for Period of a Pendulum 20 Exact Solution of d 2y/dt + у + eys = 0 23 Problems 27 References 30 2 The Perturbation Method *32 Introduction 32 Secular Terms This book discusses as well the experimental studies on the oscillations of the boundary layer wherein the mean flow is affected by the presence of oscillations. The final chapter describes the concept of the stability of turbulent flows found in boundary layers, wakes, and jets. This book is a valuable resource for physicists, mathematicians Book Edition: 1.
In this post, we will see the book Applied Methods in The Theory of Nonlinear Oscillations by V. M. Starzhinskii. The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics departments. Nonlinear Vibrations 5 If det> 0andtr2 > 4 det, then there are still two real eigenvalues, but both have the same sign as the trace tr. If tr > 0, then both eigenvalues are positive and the solution becomes unbounded as t goes to inﬁnity. This linear system is called an unstable node. The general solution is a linear combination of the two eigensolutions, and for large time the.
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Deficiency and supplemental estimates pertaining to the legislative establishment United States Senate. Communication from the President of the United States transmitting deficiency and supplemental estimates of appropriations pertaining to the legislative establishment, United States Senate, for the fiscal year 1933, $14,305.35, and for the fiscal year 1934, $167,000, amounting in all to $181,305.35.
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There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems.
The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications.
Oscillations in Nonlinear Systems (Dover Books on Mathematics) Paperback – and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the Cited by: Nonlinear Mathematical Models of Phase-Locked Loops, Stability and Oscillations (Stability Oscillations and Optimization of Systems) on *FREE* shipping on qualifying offers.
Nonlinear Mathematical Models of Phase-Locked Loops, Stability and Oscillations (Stability Oscillations and Optimization of Systems)Format: Hardcover.
Stability and oscillations in pulse-modulated systems: A review of mathematical approaches. The interest to the dynamics of nonlinear pulse-modulated systems. Finally, stability of the pulse-modulated system Fig. 1 is guaranteed, if we can find 1, 2 0, 1, 2 > 0, 0 0, a real number and a real symmetric matrix X Rn such that (25) and (29) are valid.
This problem can be readily implemented in Matlab R using Yalmip as developed by Cited by: 1. There has been a great deal of excitement in the last ten years over the emer gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop ment of a comprehensive theory of Brand: Springer-Verlag New York.
Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases.
Foundations of asymptotic methods and the theory of relaxation oscillations are presented. Abstract. In this chapter we describe a number of methods used for investigating the stability of pulse modulated systems. They include the method of integral quadratic bounds proposed by V.A.
Yakubovich [Yak68], the method of positive kernels of integral operators, first proposed by A. Halanay [Hal64] and developed for pulse-modulated systems by Gelig [Gea], the Author: Arkadii Kh.
Gelig, Alexander N. Churilov. Suppose conditions (8) and (9) are satisfied, the matrix B is a Hurwitz matrix, and T is so small that the following inequalities hold The stability of non-linear pulse system in the first approximation [1 (lxl+lx1IT)2+Sx2JCited by: 2.
PDF | OnA. Gelig and others published Oscillations in nonlinear pulse-modulated control systems | Find, read and cite all the research you need on ResearchGate. Stability Nonlinear approaches CLF Sliding mode Geometric control Recursive techniques X4 stabilization Observers References Nonlinear systems Khalil - Prentice-Hall, Probably the best book to start with nonlinear control Nonlinear systems S.
Sastry - Springer Verlag, Good general book, a bit harder than Khalil’s. Nonlinear Oscillation Up until now, we’ve been considering the di erential equation for the (damped) harmonic oscillator, y + 2 y_ +!2y= L y= f(t): (1) Due to the linearity of the di erential operator on the left side of our equation, we were able to make use of a large number of theorems in nding the solution to this Size: KB.
includes vital nonlinear topics such as limit cycle prediction and forced oscillations analysis on the basis of the describing function method and absolute stability analysis by means of the primary classical frequency-domain criteria (e.g.
Popov, circle or parabolic criteria). The book is concerned with the effects of nonlinearity in feedback control systems and techniques which can be used to design feedback loops containing nonlinear elements. After a short introductory chapter on nonlinearity and its possible effects the use of phase plane methods for nonlinear second order systems is discussed/5(21).
Stability and oscillations of nonlinear pulse-modulated systems By Arkadii Kh Gelig and Alexander N Churilov No static citation data No static citation data CiteCited by: Stability and oscillations of singularly perturbed phase synchronization systems with distributed parameters Abstract: In this paper we examine singularly perturbed systems, described by integro-differential Volterra equations with periodic nonlinearities and a small parameter at the higher : Vera B.
Smirnova, Natalia V. Utina, Ella E. Pak, Anton V. Proskurnikov. A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since Begins with fundamental concepts and techniques of analysis and progresses through recent developments.
Provides an overview that abstracts and introduces main nonlinear phenomena. Treats systems having a single degree of freedom. Get this from a library. Stability and oscillations of nonlinear pulse-modulated systems. [Arkadiĭ Khaĭmovich Gelig; Alexander N Churilov] -- There are two main fields of application of pulse-modulated sys tems, communications and control.
Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed. The proceedings of this conference will be available for purchase through Curran Associates.
"Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB), 14th International Conference.
Print on Demand Purchase at Partner. Nonlinear Oscillators Author: Ram Dušić Hren Mentor: Dr. Simon Širca Ljubljana, december Abstract Linear dynamics is usually obtained only as a first approximation of real physical systems.
In my seminar I investigate a little further into the vast field of dynamic systems by incorporating nonlinear effects.Stability and oscillations of nonlinear pulse-modulated systems.
Boston: Birkhäuser, (OCoLC) Document Type: Book: All Authors / Contributors: Arkadiĭ Khaĭmovich Gelig; Alexander N Churilov.There has been a great deal of excitement in the last ten years over the emer gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop ment of a comprehensive theory of 4/5(4).