I have a system that uses an Arduino Uno board as a "brain". All the elements in the system are powered by a single LiPo battery (3cell, 11.1V, 1800mAh). I made a circuit so the arduino can check the battery voltage and decide when it needs to recharge. I also have a circuit that controls the battery charge sequence and interrupts the power when the battery is charged, sending a signal to the arduino interrupting it's power saving mode. The arduino enters the power saving mode when the charging sequence is initiated. The charging circuit uses 12V and 450mA which I plan to supply with a 12V 6W solar panel.
My question is: can I charge the battery while the arduino is still on, but on power savig mode?
If not, how can I make this system self charging while keeping the arduino continuously on?