It could be because of how long it’s been dead, I would let it charge a few hours before coming back to it, and if that doesn’t work, then the battery may be dead and need replacing (psp are known for poor batteries). If it still doesn’t work, it may have an internal issue with the charging port or something like that. Hope this helps!
Not that I recommend doing it because you could corrupt or damage data and/or your system, but you could save and take out the battery while it's not charging to force it off...
If anyone wants to know how I fixed mine, I replaced my charger and battery (both off brand) which both went faulty in 3 weeks... Be careful when buying new batteries and chargers!
The yellow charger receptor where you plug it in could be broken too, if you can, you should compare the parts on your and your brothers PSP to see what the differences are, and let me know what you find.