modelling of simplified dynamical systems

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Modelling Of Simplified Dynamical Systems

Author : Edward Layer
ISBN : 9783642560989
Genre : Technology & Engineering
File Size : 67. 70 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.

Measurements Modelling And Simulation Of Dynamic Systems

Author : Edward Layer
ISBN : 364204588X
Genre : Mathematics
File Size : 81. 58 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.

Dynamic Systems Biology Modeling And Simulation

Author : Joseph DiStefano III
ISBN : 9780124104938
Genre : Science
File Size : 46. 41 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]

Modeling And Analysis Of Dynamic Systems Second Edition

Author : Ramin S. Esfandiari
ISBN : 9781466574953
Genre : Technology & Engineering
File Size : 74. 84 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.

Parametric Resonance In Dynamical Systems

Author : Thor Fossen
ISBN : 9781461410423
Genre : Technology & Engineering
File Size : 40. 33 MB
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Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.

Control And Dynamic Systems V33 Advances In Aerospace Systems Dynamics And Control Systems Part 3 Of 3

Author : C.T. Leonides
ISBN : 9780323162494
Genre : Technology & Engineering
File Size : 44. 3 MB
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Control and Dynamic Systems: Advances in Theory in Applications, Volume 33: Advances in Aerospace Systems Dynamics and Control Systems, Part 3 of 3 deals with significant advances in technologies which support the development of aerospace systems. It also presents several algorithms and computational techniques for complex aerospace systems. This book first presents a survey of analytical redundancy techniques to improve turbine engine control systems. It then discusses techniques for remotely piloted vehicles; control configured vehicles (CCV) techniques; aircraft handling; pilot-vehicle dynamics; and optimal control techniques for complex aerospace structure. This text is an excellent reference for research and professional workers in the field who want a comprehensive source of techniques with significant applied implications.

Modeling And Control Of Dynamic Systems

Author : Narciso F. Macia
ISBN : 1401847609
Genre : Mathematics
File Size : 53. 59 MB
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Mathematical background for dynamic systems - Modeling of dynamic systems - Feedback control - Stability and dynamic response - Time domain performance characteristics - Root locus analysis - Frequency response analysis - Introduction to state space methods - Design of control systems - Implementing the controls scheme with hardware : PLCs - Introduction to digital control systems - Case study : A position control system using a DC solenoid.

Control And Dynamic Systems V41 Analysis And Control System Techniques For Electric Power Systems Part 1 Of 4

Author : C.T. Leonides
ISBN : 9780323163057
Genre : Science
File Size : 84. 77 MB
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Analysis and Control System Techniques for Electric Power Systems, Part 1 is the first volume of a four volume sequence in this series devoted to the significant theme of ""Analysis and Control Techniques for Electric Power Systems."" The broad topics involved include transmission line and transformer modeling. Since the issues in these two fields are rather well in hand, although advances continue to be made, this four volume sequence will focus on advances in areas including power flow analysis, economic operation of power systems, generator modeling, power system stability, voltage and power control techniques, and system protection, among others. This book comprises seven chapters, with the first focusing on modern approaches to modeling and control of electric power systems. Succeeding chapters then discuss dynamic state estimation techniques for large-scale electric power systems; optimal power how algorithms; sparsity in large-scale network computation; techniques for decentralized control for interconnected systems; knowledge based systems for power system security assessment; and neural networks and their application to power engineering. This book will be of interest to practitioners in the fields of electrical and computer engineering.

Non Smooth Deterministic Or Stochastic Discrete Dynamical Systems

Author : Jerome Bastien
ISBN : 9781118604083
Genre : Mathematics
File Size : 85. 24 MB
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This book contains theoretical and application-oriented methodsto treat models of dynamical systems involving non-smoothnonlinearities. The theoretical approach that has been retained and underlined inthis work is associated with differential inclusions of mainlyfinite dimensional dynamical systems and the introduction ofmaximal monotone operators (graphs) in order to describe models ofimpact or friction. The authors of this book master themathematical, numerical and modeling tools in a particular way sothat they can propose all aspects of the approach, in both adeterministic and stochastic context, in order to describe realstresses exerted on physical systems. Such tools are very powerfulfor providing reference numerical approximations of the models.Such an approach is still not very popular nevertheless, eventhough it could be very useful for many models of numerous fields(e.g. mechanics, vibrations, etc.). This book is especially suited for people both in research andindustry interested in the modeling and numerical simulation ofdiscrete mechanical systems with friction or impact phenomenaoccurring in the presence of classical (linear elastic) ornon-classical constitutive laws (delay, memory effects, etc.). Itaims to close the gap between highly specialized mathematicalliterature and engineering applications, as well as to also givetools in the framework of non-smooth stochastic differentialsystems: thus, applications involving stochastic excitations(earthquakes, road surfaces, wind models etc.) are considered. Contents 1. Some Simple Examples. 2. Theoretical Deterministic Context. 3. Stochastic Theoretical Context. 4. Riemannian Theoretical Context. 5. Systems with Friction. 6. Impact Systems. 7. Applications–Extensions. About the Authors Jérôme Bastien is Assistant Professor at theUniversity Lyon 1 (Centre de recherche et d'Innovation sur lesport) in France. Frédéric Bernardin is a Research Engineer atDépartement Laboratoire de Clermont-Ferrand (DLCF), Centred'Etudes Techniques de l'Equipement (CETE), Lyon, France. Claude-Henri Lamarque is Head of Laboratoire Géomatériauxet Génie Civil (LGCB) and Professor at Ecole des TravauxPublics de l'Etat (ENTPE), Vaulx-en-Velin, France.

Mathematics For The Life Sciences

Author : Glenn Ledder
ISBN : 9781461472766
Genre : Mathematics
File Size : 65. 35 MB
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​ ​​ Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.

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