that the frequent resets would not force the MCU to give up. The only thing is - it will be a nuisance to your program operation. Ideally, I would try to improve on the power supply design if you have frequent crashes due to switching on/off of devices. Try to get a power off to actual turn off time between 0.5 sec to 1 second. This will eliminate most issues with brownout reset conditions. When I say power off, I mean turn off the power to your equipment. And Actual turn off would be when your equipment actually turns off.

I've experienced these kind of resets with 5V devices like the 8051 devices. Usually devices that are low voltage capable are more immune to this kind of problems. I have not had this issue with the PIC/PSoC families till now. Maybe I'm just lucky ;) This is my opinion and you're free to disagree with me :)