Introduction to Modeling and Simulation 1st edition by Mark Spong 1119982906 9781119982906

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ISBN-10 ‏ : ‎1119982906 

ISBN-13 ‏ : ‎9781119982906

Author:    Mark W. Spong 

This new introductory-level textbook provides thirteen self-contained chapters, each covering an important topic in engineering systems modeling and simulation. The importance of such a topic cannot be overstated; modeling and simulation will only increase in importance in the future as computational resources improve and become more powerful and accessible, and as systems become more complex. This resource is a wonderful mix of practical examples, theoretical concepts, and experimental sessions that ensure a well-rounded education on the topic.

The topics covered in Introduction to Modeling and Simulation are timeless fundamentals that provide the necessary background for further and more advanced study of one or more of the topics. The text includes topics such as linear and nonlinear dynamical systems, continuous-time and discrete-time systems, stability theory, numerical methods for solution of ODEs, PDE models, feedback systems, optimization, regression and more. Each chapter provides an introduction to the topic to familiarize students with the core ideas before delving deeper. The numerous tools and examples help ensure students engage in active learning, acquiring a range of tools for analyzing systems and gaining experience in numerical computation and simulation systems, from an author prized for both his writing and his teaching over the course of his over-40-year career.

Introduction to Modeling and Simulation 1st Table of contents:

1 Introduction
1.1 Introduction
1.2 Model Classification
1.3 Simulation Languages
1.4 Outline of the Text
Problems
Linear Algebra Background
Real Analysis Background
Probability Background
Matlab
2 Second‐Order Systems
2.1 Introduction
2.2 State‐Space Representation
2.3 Trajectories and Phase Portraits
2.4 The Direction Field
2.5 Equilibria
2.6 Linear Systems
2.7 Linearization of Nonlinear Systems
2.8 Periodic Trajectories and Limit Cycles
2.9 Coupled Second‐Order Systems
Problems
3 System Fundamentals
3.1 Introduction
3.2 Existence and Uniqueness of Solution
3.3 The Matrix Exponential
3.4 The Jordan Canonical Form
3.5 Linearization
3.6 The Hartman–Grobman Theorem
3.7 Singular Perturbations
Problems
4 Compartmental Models
4.1 Introduction
4.2 Exponential Growth and Decay
4.3 The Logistic Equation
4.4 Models of Epidemics
4.5 Predator–Prey System
Problems
5 Stability
5.1 Introduction
5.2 Lyapunov Stability
5.3 Basin of Attraction
5.4 The Invariance Principle
5.5 Linear Systems and Linearization
Problems
6 Discrete‐Time Systems
6.1 Introduction
6.2 Stability of Discrete‐Time Systems
6.3 Stability of Discrete‐Time Linear Systems
6.4 Moving‐Average Filter
6.5 Cobweb Diagrams
Problems
7 Numerical Methods
7.1 Introduction
7.2 Numerical Differentiation
7.3 Numerical Integration
7.4 Numerical Solution of ODEs
7.5 Stiff Systems
7.6 Event Detection
7.7 Simulink
7.8 Summary
Problems
8 Optimization
8.1 Introduction
8.2 Unconstrained Optimization
8.3 Case Study: Numerical Inverse Kinematics
8.4 Constrained Optimization
8.5 Convex Optimization
Problems
9 System Identification
9.1 Introduction
9.2 Least Squares
9.3 Regression
9.4 Recursive Least Squares
9.5 Logistic Regression
9.6 Neural Networks
Problems
10 Stochastic Systems
10.1 Markov Chains
10.2 Monte Carlo Methods
Problems
11 Feedback Systems
11.1 Introduction
11.2 Transfer Functions
11.3 Feedback Control
11.4 State‐Space Models
11.5 Optimal Control
11.6 Control of Nonlinear Systems
Problems
12 Partial Differential Equation Models
12.1 Introduction
12.2 The Wave Equation
12.3 The Heat Equation
12.4 Laplace’s Equation
12.5 Numerical Solution of PDEs
Problems
13 Complex Networks
13.1 Introduction
13.2 Graph Theory: Basic Concepts
13.3 Matlab Graph Functions
13.4 Network Metrics
13.5 Random Graphs
13.6 Synchronization in Networks

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Tags: Introduction, Modeling, Simulation, Mark Spong