$\dot{x} = -x$, $y = 0$

Example · Undergraduate

Terms

Term	This example	Why
detectable	✓	$\dot{x} = -x$, $y = 0$ is detectable, because the unknown state decays to $0$ anyway.
observable	✗	$\dot{x} = -x$, $y = 0$ is not observable, because the output carries no information.
reconstructible	✗	$\dot{x} = -x$, $y = 0$ is not reconstructible, because the output carries no information.

Distinctions using this example

• Observable vs. reconstructible vs. detectable

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