Robot Radio 12V, Increased Brownout Risk?

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Not sure if this has been discussed on CD already, if so I apologize.
This year our new compact robot radio has a DC voltage rating of 12-18 V. Also, so far in my experience it takes up to twice as long to initialize as the former routers.

I analyzed the voltage levels from our 2015 matches and did notice several instances where we dropped below 10.5 volts during a match even with good batteries.
Has anyone experimented with the radio yet to see at what voltage the router would shut down/reboot, or if there are any symptoms of a reduced voltage during a match (reduced range, or maybe the router goes into a safe mode that reduces capability temporarily?).

I'm getting increasingly nervous that a powerful drive system we are designing will kill our radio during a match.