Stability And Stable Oscillations In Discrete Time Systems PDF Download
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Author | : Aristide Halanay |
Publisher | : CRC Press |
Total Pages | : 310 |
Release | : 2000-10-31 |
Genre | : Computers |
ISBN | : 9789056996710 |
Download Stability and Stable Oscillations in Discrete Time Systems Book in PDF, ePub and Kindle
The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in engineering such as stability of digital filters, digitally controlled thermal processes, neurodynamics, and chemical kinetics. This book will be an invaluable reference source for those whose work is in the area of discrete dynamical systems, difference equations, and control theory or applied areas that use discrete time models.
Author | : Günter Ludyk |
Publisher | : Springer-Verlag |
Total Pages | : 157 |
Release | : 2013-11-21 |
Genre | : Computers |
ISBN | : 3663139328 |
Download Stability of Time-Variant Discrete-Time Systems Book in PDF, ePub and Kindle
Author | : Arkadii Kh. Gelig |
Publisher | : Springer Science & Business Media |
Total Pages | : 367 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461217601 |
Download Stability and Oscillations of Nonlinear Pulse-Modulated Systems Book in PDF, ePub and Kindle
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 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. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.
Author | : Sorin Olaru |
Publisher | : Springer Nature |
Total Pages | : 423 |
Release | : |
Genre | : |
ISBN | : 3031510496 |
Download Difference Equations, Discrete Dynamical Systems and Applications Book in PDF, ePub and Kindle
Author | : Dmitry Altshuller |
Publisher | : Springer |
Total Pages | : 146 |
Release | : 2012-07-25 |
Genre | : Technology & Engineering |
ISBN | : 1447142349 |
Download Frequency Domain Criteria for Absolute Stability Book in PDF, ePub and Kindle
Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain – the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
Author | : Saejoon Kim |
Publisher | : |
Total Pages | : 164 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download On the Stability Regions of Discrete Nonlinear Dynamical Systems Book in PDF, ePub and Kindle
Author | : E.A. Grove |
Publisher | : CRC Press |
Total Pages | : 395 |
Release | : 2004-12-16 |
Genre | : Mathematics |
ISBN | : 0849331560 |
Download Periodicities in Nonlinear Difference Equations Book in PDF, ePub and Kindle
Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been fascinated with discovering periodicities in equations of higher order which for certain values of their parameters have one of the following characteristics: 1. Every solution of the equation is periodic with the same period. 2. Every solution of the equation is eventually periodic with a prescribed period. 3. Every solution of the equation converges to a periodic solution with the same period. This monograph presents their findings along with some thought-provoking questions and many open problems and conjectures worthy of investigation. The authors also propose investigation of the global character of solutions of these equations for other values of their parameters and working toward a more complete picture of the global behavior of their solutions. With the results and discussions it presents, Periodicities in Nonlinear Difference Equations places a few more stones in the foundation of the basic theory of nonlinear difference equations. Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further work in this area.
Author | : Sui Sun Cheng |
Publisher | : CRC Press |
Total Pages | : 284 |
Release | : 2003-02-06 |
Genre | : Mathematics |
ISBN | : 9780415298841 |
Download Partial Difference Equations Book in PDF, ePub and Kindle
Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
Author | : Allen Fathi |
Publisher | : #N/A |
Total Pages | : 320 |
Release | : 2000-04-12 |
Genre | : Mathematics |
ISBN | : 9814543098 |
Download Proceedings Of The Mathematics Conference Book in PDF, ePub and Kindle
This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.
Author | : Frankie Murray & |
Publisher | : Scientific e-Resources |
Total Pages | : 320 |
Release | : 2019-11-02 |
Genre | : |
ISBN | : 183947324X |
Download Non-Linear Differential Equations Book in PDF, ePub and Kindle
Regarding the matter of differential equations a considerable number of rudimentary books have been composed. This book overcomes any issues between rudimentary courses and the examination writing. The essential ideas important to contemplate differential equations - basic focuses and balance, occasional arrangements, invariant sets and invariant manifolds - are examined. Security hypothesis is created beginning with linearisation methods backpedaling to Lyapunov and Poincare. The global direct method is then examined. To acquire more quantitative data the Poincare-Lindstedt method is acquainted with estimated occasional arrangements while in the meantime demonstrating presence by the certain capacity hypothesis. The method of averaging is presented as a general estimation standardization method. The last four sections acquaint the peruser with unwinding motions, bifurcation hypothesis, focus manifolds, disarray in mappings and differential equations, Hamiltonian frameworks (repeat, invariant tori, intermittent arrangements). The book displays the subject material from both the subjective and the quantitative perspective. There are numerous cases to delineate the hypothesis and the peruser ought to have the capacity to begin doing research in the wake of concentrate this book.