eNotes: Mathematical Modeling


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15. SYSTEM RESPONSES


We can categorize certain systems into well known divisions. In many cases this will permit some back of the envelope calculations.

When we consider responses we look at the type of input applied. These typically include,

- step
- ramp
- parabolic
- sinusoidal

The most common analysis involves applying a step function to the system. The type of response tells us a great deal about the nature of the system.

- first order - a simpler system that tends to be made of passive components and will come to rest
- second order - a system that has natural frequencies

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