$\dot x_1 = x_2$, $\dot x_2 = u$, with position output $y = x_1$
Terms
| Term | This example | Why |
|---|---|---|
| observable | ✓ | The double integrator with position output is observable because the velocity can be inferred from how the position changes. |
| reconstructible | ✓ | The double integrator with position output is reconstructible and detectable, because it is observable. |
| detectable | ✓ |