modelling of simplified dynamical systems

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Modelling Of Simplified Dynamical Systems

Author : Edward Layer
ISBN : 9783642560989
Genre : Technology & Engineering
File Size : 24. 79 MB
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Problems involving synthesis of mathematical models of various physical systems, making use of these models in practice and verifying them qualitatively has - come an especially important area of research since more and more physical - periments are being replaced by computer simulations. Such simulations should make it possible to carry out a comprehensive analysis of the various properties of the system being modelled. Most importantly its dynamic properties can be - dressed in a situation where this would be difficult or even impossible to achieve through a direct physical experiment. To carry out a simulation of a real, phy- cally existing system it is necessary to have its mathematical description; the s- tem being described mathematically by equations, which include certain variables, their derivatives and integrals. If a single independent variable is sufficient in - der to describe the system, then derivatives and integrals with respect to only that variable will appear in the equations. Differentiation of the equation allows the integrals to be eliminated and produces an equation which includes derivatives with respect to only one independent variable i. e. an ordinary differential equation. In practice, most physical systems can be described with sufficient accuracy by linear differential equations with time invariant coefficients. Chapter 2 is devoted to the description of models by such equations, with time as the independent va- able.

Dynamic Systems Biology Modeling And Simulation

Author : Joseph DiStefano III
ISBN : 9780124104938
Genre : Science
File Size : 30. 83 MB
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Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics; PLUS ....... The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of “math modeling” with life sciences. Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization. Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models. A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course. Importantly, the slides are editable, so they can be readily adapted to a lecturer’s personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content. The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]

Measurements Modelling And Simulation Of Dynamic Systems

Author : Edward Layer
ISBN : 364204588X
Genre : Mathematics
File Size : 56. 97 MB
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The development and use of models of various objects is becoming a more common practice in recent days. This is due to the ease with which models can be developed and examined through the use of computers and appropriate software. Of those two, the former - high-speed computers - are easily accessible nowadays, and the latter - existing programs - are being updated almost continuously, and at the same time new powerful software is being developed. Usually a model represents correlations between some processes and their interactions, with better or worse quality of representation. It details and characterizes a part of the real world taking into account a structure of phenomena, as well as quantitative and qualitative relations. There are a great variety of models. Modelling is carried out in many diverse fields. All types of natural phenomena in the area of biology, ecology and medicine are possible subjects for modelling. Models stand for and represent technical objects in physics, chemistry, engineering, social events and behaviours in sociology, financial matters, investments and stock markets in economy, strategy and tactics, defence, security and safety in military fields. There is one common point for all models. We expect them to fulfil the validity of prediction. It means that through the analysis of models it is possible to predict phenomena, which may occur in a fragment of the real world represented by a given model. We also expect to be able to predict future reactions to signals from the outside world.

Modeling Of Photovoltaic Systems Using Matlab

Author : Tamer Khatib
ISBN : 9781119118107
Genre : Science
File Size : 38. 13 MB
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Provides simplified MATLAB codes for analysis of photovoltaic systems, describes the model of the whole photovoltaic power system, and shows readers how to build these models line by line. This book presents simplified coded models for photovoltaic (PV) based systems using MATLAB to help readers understand the dynamic behavior of these systems. Through the use of MATLAB, the reader has the ability to modify system configuration, parameters and optimization criteria. Topics covered include energy sources, storage, and power electronic devices. This book contains six chapters that cover systems’ components from the solar source to the end-user. Chapter 1 discusses modelling of the solar source, and Chapter 2 discusses modelling of the photovoltaic source. Chapter 3 focuses on modeling of PV systems’ power electronic features and auxiliary power sources. Modeling of PV systems’ energy flow is examined in Chapter 4, while Chapter 5 discusses PV systems in electrical power systems. Chapter 6 presents an application of PV system models in systems’ size optimization. Common control methodologies applied to these systems are also modeled. Covers the basic models of the whole photovoltaic power system, enabling the reader modify the models to provide different sizing and control methodologies Examines auxiliary components to photovoltaic systems, including wind turbines, diesel generators, and pumps Contains examples, drills and codes Modeling of Photovoltaic Systems Using MATLAB: Simplified Green Codes is a reference forresearchers, students, and engineers who work in the field of renewable energy, and specifically in photovoltaic systems. Tamer Khatib is an assistant professor in the Energy Engineering and Environment Department at An-Najah National University, Nablus, Palestine. He received his Ph.D. from National University of Malaysia, Malaysia. Khatib is a Senior Member of IEEE, a member of IEEE Power and Energy Society, and a member of The International Solar Energy Society. Wilfried Elmenreich is a professor of Smart Grids at the Alpen-Adria-Universität in Klagenfurt, Austria. He received his Ph.D. from Vienna University of Technology, Austria. His research projects also affiliate him with the Lakeside Labs research cluster in Klagenfurt. Elmenreich is a Senior Member of IEEE and counselor of Klagenfurt's IEEE student branch.

System Dynamics For Engineering Students

Author : Nicolae Lobontiu
ISBN : 9780080928425
Genre : Technology & Engineering
File Size : 62. 68 MB
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System Dynamics for Engineering Students: Concepts and Applications discusses the basic concepts of engineering system dynamics. Engineering system dynamics focus on deriving mathematical models based on simplified physical representations of actual systems, such as mechanical, electrical, fluid, or thermal, and on solving the mathematical models. The resulting solution is utilized in design or analysis before producing and testing the actual system. The book discusses the main aspects of a system dynamics course for engineering students; mechanical, electrical, and fluid and thermal system modeling; the Laplace transform technique; and the transfer function approach. It also covers the state space modeling and solution approach; modeling system dynamics in the frequency domain using the sinusoidal (harmonic) transfer function; and coupled-field dynamic systems. The book is designed to be a one-semester system-dynamics text for upper-level undergraduate students with an emphasis on mechanical, aerospace, or electrical engineering. It is also useful for understanding the design and development of micro- and macro-scale structures, electric and fluidic systems with an introduction to transduction, and numerous simulations using MATLAB and SIMULINK. The first textbook to include a chapter on the important area of coupled-field systems Provides a more balanced treatment of mechanical and electrical systems, making it appealing to both engineering specialties

Introduction To Physical System Modelling

Author : P. E. Wellstead
ISBN : UOM:39015009808687
Genre : Engineering
File Size : 51. 12 MB
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Dynamic Systems Biology Modeling And Simulation

Author : Joseph DiStefano III
ISBN : 9780124104938
Genre : Science
File Size : 78. 76 MB
Format : PDF
Download : 328
Read : 393

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Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics; PLUS ....... The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of “math modeling” with life sciences. Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization. Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models. A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course. Importantly, the slides are editable, so they can be readily adapted to a lecturer’s personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content. The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]

Modeling Of Dynamic Systems With Engineering Applications

Author : Clarence W. de Silva
ISBN : 9781498798686
Genre : Technology & Engineering
File Size : 54. 58 MB
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MODELING OF DYNAMIC SYSTEMS takes a unique, up-to-date approach to systems dynamics and related controls coverage for undergraduate students and practicing engineers. It focuses on the model development of engineering problems rather than response analysis and simulation once a model is available, though these are also covered. Linear graphing and bond graph approaches are both discussed, and computational tools are integrated thoughout. Electrical, mechanical, fluid, and thermal domains are covered, as are problems of multiple domains (mixed systems); the unified and integrated approaches taken are rapidly becoming the standard in the modeling of mechatronic engineering systems.

Dynamical Systems In Neuroscience

Author : Eugene M. Izhikevich
ISBN : 9780262090438
Genre : Medical
File Size : 47. 21 MB
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In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience. An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.

Modeling And Analysis Of Dynamic Systems Second Edition

Author : Ramin S. Esfandiari
ISBN : 9781466574953
Genre : Technology & Engineering
File Size : 29. 95 MB
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Modeling and Analysis of Dynamic Systems, Second Edition introduces MATLAB®, Simulink®, and SimscapeTM and then uses them throughout the text to perform symbolic, graphical, numerical, and simulation tasks. Written for junior or senior level courses, the textbook meticulously covers techniques for modeling dynamic systems, methods of response analysis, and provides an introduction to vibration and control systems. These features combine to provide students with a thorough knowledge of the mathematical modeling and analysis of dynamic systems. See What’s New in the Second Edition: Coverage of modeling and analysis of dynamic systems ranging from mechanical to thermal using Simscape Utilization of Simulink for linearization as well as simulation of nonlinear dynamic systems Integration of Simscape into Simulink for control system analysis and design Each topic covered includes at least one example, giving students better comprehension of the subject matter. More complex topics are accompanied by multiple, painstakingly worked-out examples. Each section of each chapter is followed by several exercises so that students can immediately apply the ideas just learned. End-of-chapter review exercises help in learning how a combination of different ideas can be used to analyze a problem. This second edition of a bestselling textbook fully integrates the MATLAB Simscape Toolbox and covers the usage of Simulink for new purposes. It gives students better insight into the involvement of actual physical components rather than their mathematical representations.

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