$x_{k+1} = 0 \cdot x_k$, $y_k = 0$

Example · Undergraduate

Terms

Term	This example	Why
reconstructible	✓	$x_{k+1} = 0 \cdot x_k$, $y_k = 0$, is reconstructible and detectable, because the state is $0$ after one step, so the current state is known.
detectable	✓
observable	✗	$x_{k+1} = 0 \cdot x_k$, $y_k = 0$ is not observable, because the output carries no information about the initial state.

Distinctions using this example

• Observable vs. reconstructible vs. detectable

All examples · All distinctions · All definitions