Track View - Dope sheet > Select a Controller track > Controller menu > Ignore Animation Range
Respect Animation Range constrains a parametric, non-keyable controller track to be active only within the track's current animation range. Choosing this option changes the track's background color to gray.
Note: While Ignore Animation Range is the default setting (turn off the Override Parametric Controller Range By Default option in the Animation Preferences to change it), controller tracks from older scenes are set to this setting to maintain their original behavior.
Example: To set a controller track to respect the animation range:
On the Motion Panel > Assign Controller rollout, highlight the sphere's Position track.
Click the Assign Controller button, and then choose Noise Position from the Assign Controller dialog.
The Noise Controller dialog opens. Keep the current settings and close the dialog.
Select the sphere, and then right-click it. From the quad menu, choose Dope Sheet.
Expand the hierarchy items in the Controller window until you find the sphere's Position track.
Drag the track's range bar so it starts at frame 10.

Because Respect Animation Range is on, the sphere starts moving only when it is within the track's animation range.