Example · High school
Terms
| Term | This example | Why |
|---|
| autonomous time invariant |
✓ |
$\dot{x} = -x + u$ is not autonomous in the sense of having no input, because it has the input $u$.
|
| time invariant |
✓ |
$\dot{x} = -x + u$ is time-invariant because its right-hand side does not depend explicitly on $t$.
|
| linear system |
✓ |
|
| affine system |
✓ |
|
| control affine |
✓ |
|
| feedback linearizable |
✓ |
$\dot{x} = -x + u$ is a linear system, so it is also affine, control-affine, and feedback linearizable.
|
| autonomous no input |
✗ |
|
| unforced |
✗ |
$\dot{x} = -x + u$ is not unforced, because it has the input $u$; setting $u = 0$ gives an unforced system.
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