The parallel connection of two stable systems must lead to a stable system

1. When two systems are connected in parallel the overall impulse response is?
2. How do you know if a system is stable?

When two systems are connected in parallel the overall impulse response is?

The impulse response of the overall system represented by the two LTI systems that are interconnected in parallel is the sum of their individual impulse responses.

How do you know if a system is stable?

A system is said to be stable, if its output is under control. Otherwise, it is said to be unstable. A stable system produces a bounded output for a given bounded input.