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The Volterra And Wiener Theories Of Nonlinear Systems
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Book Synopsis The Volterra and Wiener Theories of Nonlinear Systems by : Martin Schetzen
Download or read book The Volterra and Wiener Theories of Nonlinear Systems written by Martin Schetzen and published by Krieger Publishing Company. This book was released on 2006 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, thus yielding new insights and a better comprehension of the subject. The Volterra and Wiener theories are useful in the study of systems in biological, mechanical, and electrical fields.
Book Synopsis Nonlinear System Theory by : Wilson J. Rugh
Download or read book Nonlinear System Theory written by Wilson J. Rugh and published by . This book was released on 1981 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Block-oriented Nonlinear System Identification by : Fouad Giri
Download or read book Block-oriented Nonlinear System Identification written by Fouad Giri and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Block-oriented Nonlinear System Identification deals with an area of research that has been very active since the turn of the millennium. The book makes a pedagogical and cohesive presentation of the methods developed in that time. These include: iterative and over-parameterization techniques; stochastic and frequency approaches; support-vector-machine, subspace, and separable-least-squares methods; blind identification method; bounded-error method; and decoupling inputs approach. The identification methods are presented by authors who have either invented them or contributed significantly to their development. All the important issues e.g., input design, persistent excitation, and consistency analysis, are discussed. The practical relevance of block-oriented models is illustrated through biomedical/physiological system modelling. The book will be of major interest to all those who are concerned with nonlinear system identification whatever their activity areas. This is particularly the case for educators in electrical, mechanical, chemical and biomedical engineering and for practising engineers in process, aeronautic, aerospace, robotics and vehicles control. Block-oriented Nonlinear System Identification serves as a reference for active researchers, new comers, industrial and education practitioners and graduate students alike.
Book Synopsis Nonlinear System Identification by : Stephen A. Billings
Download or read book Nonlinear System Identification written by Stephen A. Billings and published by John Wiley & Sons. This book was released on 2013-07-29 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains describes a comprehensive framework for the identification and analysis of nonlinear dynamic systems in the time, frequency, and spatio-temporal domains. This book is written with an emphasis on making the algorithms accessible so that they can be applied and used in practice. Includes coverage of: The NARMAX (nonlinear autoregressive moving average with exogenous inputs) model The orthogonal least squares algorithm that allows models to be built term by term where the error reduction ratio reveals the percentage contribution of each model term Statistical and qualitative model validation methods that can be applied to any model class Generalised frequency response functions which provide significant insight into nonlinear behaviours A completely new class of filters that can move, split, spread, and focus energy The response spectrum map and the study of sub harmonic and severely nonlinear systems Algorithms that can track rapid time variation in both linear and nonlinear systems The important class of spatio-temporal systems that evolve over both space and time Many case study examples from modelling space weather, through identification of a model of the visual processing system of fruit flies, to tracking causality in EEG data are all included to demonstrate how easily the methods can be applied in practice and to show the insight that the algorithms reveal even for complex systems NARMAX algorithms provide a fundamentally different approach to nonlinear system identification and signal processing for nonlinear systems. NARMAX methods provide models that are transparent, which can easily be analysed, and which can be used to solve real problems. This book is intended for graduates, postgraduates and researchers in the sciences and engineering, and also for users from other fields who have collected data and who wish to identify models to help to understand the dynamics of their systems.
Book Synopsis Discrete Systems Laboratory Using MATLAB by : Martin Schetzen
Download or read book Discrete Systems Laboratory Using MATLAB written by Martin Schetzen and published by Bookware Companion (Paperback). This book was released on 2000 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief paperbound supplement provides 16 hands-on laboratory experiments that students can perform using MATLAB® in lab sections that accompany lecture courses in Linear Systems or DSP. The 16 experiments are grouped in four main topic areas: sampling and digital-to-analog (D/A) conversion; the discrete-time Fourier transform; gain and phase-shift studies of digital filters; and analog-to-digital (A/D) quantization. (See TOC below for a listing of specific lab experiments.) The goal of these experiments is to enable students to understand the full physical significance of key concepts through a deeper understanding of the underlying mathematical formulas - not to teach MATLAB®. In each experiment, students enter problem parameter values, plot the results using MATLAB®'s powerful plotting functions, and then respond to questions in the manual that require them to analyze and interpret these results. The experiments challenge students to approach the study of these topics in the role of an experimental investigator; students are required to define the quantitative values and size properties of each design criterion in a problem. As a result, students develop an appreciation of the physical meaning of the derived results, their theoretical and physical implications, and the use of the scientific method.
Book Synopsis Distortion in RF Power Amplifiers by : Joel Vuolevi
Download or read book Distortion in RF Power Amplifiers written by Joel Vuolevi and published by Artech House. This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a thorough treatment of distortion in RF power amplifiers. This unique resource offers expert guidance in designing easily linearizable systems that have low memory effects. It offers you a detailed understanding of how the matching impedances of a power amplifier and other RF circuits can be tuned to minimize overall distortion. What's more, you see how to build models that can be used for distortion simulations.
Book Synopsis Global Dynamical Properties of Lotka-Volterra Systems by : Y. Takeuchi
Download or read book Global Dynamical Properties of Lotka-Volterra Systems written by Y. Takeuchi and published by World Scientific. This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.
Book Synopsis Inverse system identification with applications in predistortion by : Ylva Jung
Download or read book Inverse system identification with applications in predistortion written by Ylva Jung and published by Linköping University Electronic Press. This book was released on 2018-12-19 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models are commonly used to simulate events and processes, and can be constructed from measured data using system identification. The common way is to model the system from input to output, but in this thesis we want to obtain the inverse of the system. Power amplifiers (PAs) used in communication devices can be nonlinear, and this causes interference in adjacent transmitting channels. A prefilter, called predistorter, can be used to invert the effects of the PA, such that the combination of predistorter and PA reconstructs an amplified version of the input signal. In this thesis, the predistortion problem has been investigated for outphasing power amplifiers, where the input signal is decomposed into two branches that are amplified separately by highly efficient nonlinear amplifiers and then recombined. We have formulated a model structure describing the imperfections in an outphasing abbrPA and the matching ideal predistorter. The predistorter can be estimated from measured data in different ways. Here, the initially nonconvex optimization problem has been developed into a convex problem. The predistorters have been evaluated in measurements. The goal with the inverse models in this thesis is to use them in cascade with the systems to reconstruct the original input. It is shown that the problems of identifying a model of a preinverse and a postinverse are fundamentally different. It turns out that the true inverse is not necessarily the best one when noise is present, and that other models and structures can lead to better inversion results. To construct a predistorter (for a PA, for example), a model of the inverse is used, and different methods can be used for the estimation. One common method is to estimate a postinverse, and then using it as a preinverse, making it straightforward to try out different model structures. Another is to construct a model of the system and then use it to estimate a preinverse in a second step. This method identifies the inverse in the setup it will be used, but leads to a complicated optimization problem. A third option is to model the forward system and then invert it. This method can be understood using standard identification theory in contrast to the ones above, but the model is tuned for the forward system, not the inverse. Models obtained using the various methods capture different properties of the system, and a more detailed analysis of the methods is presented for linear time-invariant systems and linear approximations of block-oriented systems. The theory is also illustrated in examples. When a preinverse is used, the input to the system will be changed, and typically the input data will be different than the original input. This is why the estimation of preinverses is more complicated than for postinverses, and one set of experimental data is not enough. Here, we have shown that identifying a preinverse in series with the system in repeated experiments can improve the inversion performance.
Book Synopsis Applied Systems Theory by : Rob Dekkers
Download or read book Applied Systems Theory written by Rob Dekkers and published by Springer. This book was released on 2014-08-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering an up-to-date account of systems theories and its applications, this book provides a different way of resolving problems and addressing challenges in a swift and practical way, without losing overview and not having a grip on the details. From this perspective, it offers a different way of thinking in order to incorporate different perspectives and to consider multiple aspects of any given problem. Drawing examples from a wide range of disciplines, it also presents worked cases to illustrate the principles. The multidisciplinary perspective and the formal approach to modelling of systems and processes of ‘Applied Systems Theory’ makes it suitable for managers, engineers, students, researchers, academics and professionals from a wide range of disciplines; they can use this ‘toolbox’ for describing, analysing and designing biological, engineering and organisational systems as well as getting a better understanding of societal problems.
Book Synopsis Mathematical Control Theory by : Eduardo D. Sontag
Download or read book Mathematical Control Theory written by Eduardo D. Sontag and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.
Book Synopsis Nonlinear system identification. 1. Nonlinear system parameter identification by : Robert Haber
Download or read book Nonlinear system identification. 1. Nonlinear system parameter identification written by Robert Haber and published by Springer Science & Business Media. This book was released on 1999 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Time-Invariant Systems by : Martin Schetzen
Download or read book Linear Time-Invariant Systems written by Martin Schetzen and published by Wiley-IEEE Press. This book was released on 2002-11-21 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and practical approach to understanding system theory The modern development of engineering and science requires a deep understanding of the basic concepts of system theory. Approaching the subject from a system, rather than an application-oriented perspective, world-renowned system expert Martin Schetzen provides practicing engineers and scientists, as well as students, with a solid, clearly explained foundation in the fundamentals of linear time-invariant (continuous) system theory. Developing linear systems from a functional viewpoint, the book is noteworthy for its presentation of: The time-domain theory of continuous time linear time-invariant (LTI) systems System transfer function, gain, and phase-shift An original development of the Fourier transform, the unilateral and bilateral Laplace transforms, and their inverses from a system theory viewpoint Basic filter analysis and design techniques from the s-plane viewpoint Feedback systems and their stability, interconnected systems, and block diagram reduction The state-variable approach to system analysis and its advantages for certain problems Taking an original, highly useful approach to system theory, Linear Time-Invariant Systems lays a solid foundation for further study of system modeling, control theory, filter theory, discrete system theory, state-variable theory, and other subjects requiring a system viewpoint. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley Makerting Department.
Book Synopsis Practical Stability of Nonlinear Systems by : V. Lakshmikantham
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.
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Book Synopsis Advanced Intelligent Computing Theories and Applications by : De-Shuang Huang
Download or read book Advanced Intelligent Computing Theories and Applications written by De-Shuang Huang and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Intelligent Computing (ICIC) was formed to p- vide an annual forum dedicated to the emerging and challenging topics in artificial intelligence, machine learning, bioinformatics, and computational biology, etc. It aims to bring together researchers and practitioners from both academia and ind- try to share ideas, problems and solutions related to the multifaceted aspects of intelligent computing. ICIC 2008, held in Shanghai, China, September 15–18, 2008, constituted the 4th International Conference on Intelligent Computing. It built upon the success of ICIC 2007, ICIC 2006 and ICIC 2005 held in Qingdao, Kunming and Hefei, China, 2007, 2006 and 2005, respectively. This year, the conference concentrated mainly on the theories and methodologies as well as the emerging applications of intelligent computing. Its aim was to unify the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. Therefore, the theme for this conference was “Emerging Intelligent Computing Technology and Applications”. Papers focusing on this theme were solicited, addressing theories, methodologies, and applications in science and technology.
Book Synopsis Introductory Functional Analysis with Applications by : Erwin Kreyszig
Download or read book Introductory Functional Analysis with Applications written by Erwin Kreyszig and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
Book Synopsis Nonlinear Dynamics in Computational Neuroscience by : Fernando Corinto
Download or read book Nonlinear Dynamics in Computational Neuroscience written by Fernando Corinto and published by Springer. This book was released on 2018-06-19 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an essential overview of computational neuroscience. It addresses a broad range of aspects, from physiology to nonlinear dynamical approaches to understanding neural computation, and from the simulation of brain circuits to the development of engineering devices and platforms for neuromorphic computation. Written by leading experts in such diverse fields as neuroscience, physics, psychology, neural engineering, cognitive science and applied mathematics, the book reflects the remarkable advances that have been made in the field of computational neuroscience, an emerging discipline devoted to the study of brain functions in terms of the information-processing properties of the structures forming the nervous system. The contents build on the workshop “Nonlinear Dynamics in Computational Neuroscience: from Physics and Biology to ICT,” which was held in Torino, Italy in September 2015.