Stability and Stable Oscillations in Discrete Time Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability and Stable Oscillations in Discrete Time Systems write by Aristide Halanay. This book was released on 2000-10-31. Stability and Stable Oscillations in Discrete Time Systems available 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.
Difference Equations, Discrete Dynamical Systems and Applications
Difference Equations, Discrete Dynamical Systems and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Difference Equations, Discrete Dynamical Systems and Applications write by Sorin Olaru. This book was released on . Difference Equations, Discrete Dynamical Systems and Applications available in PDF, EPUB and Kindle.
Frequency Domain Criteria for Absolute Stability
Frequency Domain Criteria for Absolute Stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency Domain Criteria for Absolute Stability write by Dmitry Altshuller. This book was released on 2012-07-25. Frequency Domain Criteria for Absolute Stability available 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.
Periodicities in Nonlinear Difference Equations
Periodicities in Nonlinear Difference Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Periodicities in Nonlinear Difference Equations write by E.A. Grove. This book was released on 2004-12-16. Periodicities in Nonlinear Difference Equations available 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.
Signals & Systems
Signals & Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Signals & Systems write by Alan V. Oppenheim. This book was released on 1997. Signals & Systems available in PDF, EPUB and Kindle. Exploring signals and systems, this work develops continuous-time and discrete-time concepts, highlighting the differences and similarities. Two chapters deal with the Laplace transform and the Z-transform. Basic methods such as filtering, communication an
