$\dot{x} = x + 0 \cdot u$
Terms
| Term | This example | Why |
|---|---|---|
| controllable | ✗ | $\dot{x} = x + 0 \cdot u$ is not controllable because the input has no effect. |
| reachable | ✗ | $\dot{x} = x + 0 \cdot u$ is not a reachable system because the input has no effect. |
| stabilizable | ✗ | $\dot{x} = x + 0 \cdot u$ is not stabilizable because the state grows exponentially regardless of the input. |