# Difference between revisions of "Lecture: ODEs"

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## Revision as of 05:47, 1 October 2012

Prev: System Modeling | Chapter 2 | Lecture Index | Next: Dynamic Behavior |

## Overview

This lecture provides a more detailed introduction to the use of ordinary differential equations (ODEs) for modeling dynamical systems. A brief review of the solutions of second order linear ODEs is provided to make connection with prior coursework. The general form of nonlinear and linear ODEs is provided, along with an overview of some of the techniques for solving linear ODEs in special forms (scalar and diagonal systems). Analysis tools, including stability and frequency response, are illustrated. Finally, the use of block diagrams in control systems is introduced, including the standard symbology used in the text and an extended example (insect flight).

## Lecture Materials

- Lecture presentation
- MATLAB files: not available