Examples

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Chapter 4 - Examples

Next: Dynamic Behavior

In this chapter we present a collection of examples spanning many different fields of science and engineering. These examples are used throughout the text and in exercises to illustrate different concepts. First-time readers may wish to focus on only a few examples with which they have had the most prior experience or insight to understand the concepts of state, input, output, and dynamics in a familiar setting.

Contents

1. Cruise Control
2. Bicycle Dynamics
3. Operational Amplifier Circuits
4. Computing Systems and Networks
   • Web Server Control
   • Congestion Control
5. Atomic Force Microscopy
6. Drug Administration
   • Compartment Models
   • Insulin--Glucose Dynamics
7. Population Dynamics
   • Logistic Growth Model
   • Predator--Prey Models

Exercises

Teaching Materials None available Additional Exercises None available Frequently Asked Questions Question: In the predator prey example, where is the fox birth rate term? Question: Why isn't there a term for the rabbit death rate besides being killed by the foxes? Errata None reported

Python Code The following Python scripts are available for producing figures that appear in this chapter. Figure 4.2: Torque curves for typical car engine Figure 4.3: Car with cruise control encountering a sloping road Figure 4.12: Internet congestion control Figure 4.13: Internet congestion control for N identical sources across a single link Figure 4.20: Simulation of the predator-prey system See the software page for more information on how to run these scripts. Additional Information First Edition Supplemental Information