$\dot x_1 = x_2$, $\dot x_2 = u$, with velocity output $y = x_2$

Example · Undergraduate

Terms

Term	This example	Why
observable	✗	The double integrator with velocity output is not observable, because the output does not show the position $x_1$.
reconstructible	✗	The double integrator with velocity output is not reconstructible, because the output does not show the position $x_1$.
detectable	✗	The double integrator with velocity output is not detectable, because the position’s mode (with eigenvalue $0$) does not decay.

Distinctions using this example

• Observable vs. reconstructible vs. detectable

All examples · All distinctions · All definitions