Continuous Time Systems
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Continuous Time Systems
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Author : Yuriy Shmaliy
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-23
Continuous Time Systems written by Yuriy Shmaliy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-23 with Technology & Engineering categories.
Continuous-Time Systems is a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal (also called excitation signal or driving force) to an output signal (also called response signal), an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers major foundations of the systems theory. First, the quantitative and qualitative methods of systems description are presented along with the stability analysis. The representation of linear time-invariant systems in the time domain is provided using the convolution, ordinarily differential equations (ODEs), and state space. In the frequency domain, these systems are analyzed using the Fourier and Laplace transforms. The linear time-varying systems are represented using the general convolution, ODEs, and state space. The nonlinear time-invariant systems are described employing the Taylor and Volterra series expansions, ODEs, state space, and approximate methods such as averaging, equivalent linearization, and describing function. Finally, the representation of nonlinear time-varying systems is given using the Taylor and Volterra series, ODEs, modulation functions method, and state space modelling. Review of matrix theory and other useful generalizations are postponed to Appendices.
Continuous Time Signals And Systems Version 2013 09 11
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2013-09-11
Continuous Time Signals And Systems Version 2013 09 11 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-11 with categories.
This book is intended for use in teaching undergraduate courses on continuous-time signals and systems in engineering (and related) disciplines. It has been used for several years for teaching purposes in the Department of Electrical and Computer Engineering at the University of Victoria and has been very well received by students. This book provides a detailed introduction to continuous-time signals and systems, with a focus on both theory and applications. The mathematics underlying signals and systems is presented, including topics such as: properties of signals, properties of systems, convolution, Fourier series, the Fourier transform, frequency spectra, and the bilateral and unilateral Laplace transforms. Applications of the theory are also explored, including: filtering, equalization, amplitude modulation, sampling, feedback control systems, circuit analysis, and Laplace-domain techniques for solving differential equations. Other supplemental material is also included, such as: a detailed introduction to MATLAB, a review of complex analysis, and an exploration of time-domain techniques for solving differential equations. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.
Continuous Time Signals
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Author : Yuriy Shmaliy
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-04
Continuous Time Signals written by Yuriy Shmaliy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-04 with Technology & Engineering categories.
This book offers an extended description of continuous-time signals related to signals and systems. As a time-varying process of any physical state of any object, which serves for representation, detection, and transmission of messages, a modern electrical signal possesses, in applications, many specific properties. The text covers principle foundations of signals theory. Presenting bandlimited and analytic signals, the book reviews the methods of their description, transformation (by Hilbert transform), and sampling.
Stability Of Dynamical Systems
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Stability Of Dynamical Systems written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differentiable dynamical systems categories.
In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Signals And Systems
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Author : Richard Baraniuk
language : en
Publisher: Orange Grove Texts Plus
Release Date : 2009-09-24
Signals And Systems written by Richard Baraniuk and has been published by Orange Grove Texts Plus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-24 with categories.
This text deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At its conclusion, learners will have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.
Continuous And Discrete Time Signals And Systems International Student Edition
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Author : Mrinal Kr Mandal
language : en
Publisher:
Release Date : 2007-12-12
Continuous And Discrete Time Signals And Systems International Student Edition written by Mrinal Kr Mandal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-12 with Discrete-time systems categories.
This textbook presents an introduction to fundamental concepts of continuous-time and discrete-time signals and systems, in a self-contained manner.
Continuous Time Markov Chains And Applications
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Author : George G. Yin
language : en
Publisher: Springer
Release Date : 2012-12-06
Continuous Time Markov Chains And Applications written by George G. Yin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is concerned with continuous-time Markov chains. It develops an integrated approach to singularly perturbed Markovian systems, and reveals interrelations of stochastic processes and singular perturbations. In recent years, Markovian formulations have been used routinely for nu merous real-world systems under uncertainties. Quite often, the underlying Markov chain is subject to rather frequent fluctuations and the correspond ing states are naturally divisible to a number of groups such that the chain fluctuates very rapidly among different states within a group, but jumps less frequently from one group to another. Various applications in engineer ing, economics, and biological and physical sciences have posed increasing demands on an in-depth study of such systems. A basic issue common to many different fields is the understanding of the distribution and the struc ture of the underlying uncertainty. Such needs become even more pressing when we deal with complex and/or large-scale Markovian models, whose closed-form solutions are usually very difficult to obtain. Markov chain, a well-known subject, has been studied by a host of re searchers for many years. While nonstationary cases have been treated in the literature, much emphasis has been on stationary Markov chains and their basic properties such as ergodicity, recurrence, and stability. In contrast, this book focuses on singularly perturbed nonstationary Markov chains and their asymptotic properties. Singular perturbation theory has a long history and is a powerful tool for a wide variety of applications.
Continuous System Modeling
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Author : François E. Cellier
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-05-23
Continuous System Modeling written by François E. Cellier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-05-23 with Computers categories.
Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
Signals And Systems
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Author : Ghosh, Smarajit
language : en
Publisher: Pearson Education India
Release Date : 2005
Signals And Systems written by Ghosh, Smarajit and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Engineering categories.
Signals and Systems provides comprehensive coverage of all topics within the signals and systems' paper offered to undergraduates of electrical and electronics engineering.
Continuous And Discrete Signals And Systems
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Author : Samir S. Soliman
language : en
Publisher:
Release Date : 1998
Continuous And Discrete Signals And Systems written by Samir S. Soliman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Signal processing categories.
This introductory text assists students in developing the ability to understand and analyze both continuous and discrete-time systems. The authors present the most widely used techniques of signal and system analysis in a highly readable and understandable fashion. *Covers the most widely used techniques of signal and system analysis. *Separate treatment of continuous-time and discrete-time signals and systems. *Extensive treatment of Fourier analysis. *A flexible structure making the text accessible to a variety of courses. *Makes extensive use of mathematics in an engineering context. *Uses an abundance of examples to illustrate ideas and apply the theoretical results.