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A Study Of Frequency Domain Stability Criteria In Nonlinear Feedback Systems
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Book Synopsis A Study of Frequency Domain Stability Criteria in Nonlinear Feedback Systems by : Chun-Fai Ho
Download or read book A Study of Frequency Domain Stability Criteria in Nonlinear Feedback Systems written by Chun-Fai Ho and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "A Study of Frequency Domain Stability Criteria in Nonlinear Feedback Systems" by Chun-fai, Ho, 何振輝, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3122883 Subjects: Stability Feedback control systems System analysis
Book Synopsis A Study of Frequency Domain Stability Criteria in Nonlinear Feedback Systems by : Chun-fai Ho
Download or read book A Study of Frequency Domain Stability Criteria in Nonlinear Feedback Systems written by Chun-fai Ho and published by . This book was released on 1971 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Criteria for Absolute stability by : Kumpati S. Narendra
Download or read book Frequency Domain Criteria for Absolute stability written by Kumpati S. Narendra and published by Elsevier. This book was released on 2014-01-16 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frequency Domain Criteria for Absolute Stability presents some generalizations of the well-known Popov solution to the absolute stability problem proposed by Lur'e and Postnikov in 1944. This book is divided into nine chapters that focus on the application of Lyapunov's direct method to generate frequency domain criteria for stability. The first eight chapters explore the systems with a single nonlinear function or time-varying parameter. These chapters also discuss the development of stability criteria for these systems, the sufficiency theorems, and Lyapunov function. Some of the theorems applied to a damped version of the Mathieu equation and to a nonlinear equation derived from it are also covered. The concluding chapter deals with systems with multiple nonlinearities or time-varying gains. This chapter also outlines the basic definitions and tools, as well as the derivation of stability criteria. This work will serve as a reference for research courses concerning stability problems related to the absolute stability problem of Lur'e and Postnikov. Engineers and applied mathematicians will also find this book invaluable.
Book Synopsis Applications of Frequency Domain Stability Criteria in the Design of Nonlinear Feedback Systems by : Allen Joseph Rushing
Download or read book Applications of Frequency Domain Stability Criteria in the Design of Nonlinear Feedback Systems written by Allen Joseph Rushing and published by . This book was released on 1973 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Stability Criteria for Nonlinear Systems by : Shanti P. Chakravarty
Download or read book Frequency Domain Stability Criteria for Nonlinear Systems written by Shanti P. Chakravarty and published by . This book was released on 1971 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Methods for the Stability Analysis of Nonlinear and Time-varying Feedback Systems by : Yo-Sung Cho
Download or read book Frequency Domain Methods for the Stability Analysis of Nonlinear and Time-varying Feedback Systems written by Yo-Sung Cho and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Control of Nonlinear Systems with Stationary Sets by : Jinzhi Wang
Download or read book Analysis and Control of Nonlinear Systems with Stationary Sets written by Jinzhi Wang and published by World Scientific. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Book Synopsis Frequency Domain Stability Analysis of Uncertain Nonlinear Systems by : Serkan T. Impram
Download or read book Frequency Domain Stability Analysis of Uncertain Nonlinear Systems written by Serkan T. Impram and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hopf Bifurcation Analysis: A Frequency Domain Approach by : Guanrong Chen
Download or read book Hopf Bifurcation Analysis: A Frequency Domain Approach written by Guanrong Chen and published by World Scientific. This book was released on 1996-04-09 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical behavior in small neighborhoods of certain types of degenerate Hopf bifurcations that involve multiple limit cycles and multiple limit points of periodic solutions. In addition, applications in chemical, mechanical and electrical engineering as well as in biology are discussed. This book is designed and written in a style of research monographs rather than classroom textbooks, so that the most recent contributions to the field can be included with references.
Book Synopsis Frequency Domain Stability Criteria in Nonlinear Automatic Control by : Charles Paul Neuman
Download or read book Frequency Domain Stability Criteria in Nonlinear Automatic Control written by Charles Paul Neuman and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Investigation of Frequency Response Stability Criteria for Nonlinear Systems by : Edward Shwedyk
Download or read book An Investigation of Frequency Response Stability Criteria for Nonlinear Systems written by Edward Shwedyk and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Bounds for Nonlinear Systems Designed Via Frequency Domain Stability Criteria by : Devendra P. Garg
Download or read book Stability Bounds for Nonlinear Systems Designed Via Frequency Domain Stability Criteria written by Devendra P. Garg and published by . This book was released on 1972 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion by : Xingjian Jing
Download or read book Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion written by Xingjian Jing and published by Springer. This book was released on 2015-02-24 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
Book Synopsis Stability of Nonlinear Systems by : Derek P. Atherton
Download or read book Stability of Nonlinear Systems written by Derek P. Atherton and published by John Wiley & Sons. This book was released on 1981 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Stability Criterion for the Pulse-width-modulated Feedback Control System by : Lawrence J. Ting
Download or read book Frequency Domain Stability Criterion for the Pulse-width-modulated Feedback Control System written by Lawrence J. Ting and published by . This book was released on 1969 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency-domain Methods For Nonlinear Analysis: Theory And Applications by : Gennady A Leonov
Download or read book Frequency-domain Methods For Nonlinear Analysis: Theory And Applications written by Gennady A Leonov and published by World Scientific. This book was released on 1996-05-09 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.
Book Synopsis Frequency Domain Performance Criteria for Nonlinear Control Systems by : Donald Henry Meyer
Download or read book Frequency Domain Performance Criteria for Nonlinear Control Systems written by Donald Henry Meyer and published by . This book was released on 1967 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
