Continuous System Modeling
By: by François E. Cellier
Publisher: Springer New York
Published: 1991
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 755
ISBN-13: 9781475739244; 9781475739220
Subjects: Computer engineering; Mathematical optimization; Engineering mathematics; Engineering; Systems theory
Description: 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.
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Table of contents: title: Introduction, Scope, Definitions; title: Basic Principles; title: Passive Electrical Circuits; title: Planar Mechanical Systems. -Project-oriented Modeling; title: Bond Graphs; title: Active Electrical Circuits; title: Multi-bond Graphs; title: 2D and 3D Mechanics; title: Non-equilibrium Thermodynamics; title: Thermo-bond Graphs; title: Convective Flows; title: Chemical Reaction Kinetics; title: Switching Systems; title: Population Dynamics; title: System Dynamics; title: Inductive Reasoning; title: Neural Networks.