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LTC4155 - Vout is not being regulated to 3.4V with a battery voltage of 3.25V

At a lower battery voltage of 3.25V, Vout suddenly drops to about 2.9 volts. Once that happens, my system turns off, releasing the 2A load. The battery voltage rebounds, the system reboots, and Vout becomes stuck in an oscillating state. Any idea how I can safely allow the battery voltage to reach 3V without destabilizing the system? In attached graph, GREEN is the battery voltage and RED is the Vout voltage. If I read the data sheet, I should be able to maintain 3.4V at Vout.

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