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2 changes: 1 addition & 1 deletion ssm.md
Original file line number Diff line number Diff line change
Expand Up @@ -10,7 +10,7 @@ $$
(\mathbf{x}_0,\ \{\mathbf{u}_t\},\ \{\mathbf{d}_t\}) \ \longmapsto\ \{\mathbf{x}_t,\ \mathbf{y}_t\}_{t=0:T},
$$

where $\mathbf{u}_t$ are **controls** we set, $\mathbf{d}_t$ are **exogenous drivers** we do not control (weather, inflow, demand), $\mathbf{x}_t$ are internal **system variables**, and $\mathbf{y}_t$ are **observations**. The split between $\mathbf{u}$ and $\mathbf{d}$ is practical: it separates what we can act on from what we must accommodate.
where $\mathbf{u}_t$ are **controls** we set, $\mathbf{d}_t$ are **exogenous drivers** we do not control (weather, inflow, demand), $\mathbf{x}_t$ are internal **system variables**, and $\mathbf{y}_t$ are **observations**. The split between $\mathbf{x}$ and $\mathbf{d}$ is practical: it separates what we can act on from what we must accommodate.

Two design pressures shape such models:

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