In linux how to check the activity of a computer on the network in a script?

Question

linux

It is required to create a script in which it is necessary to check the presence of a computer on the network.
All kinds of thoughts come to mind:

$>ping -c 1 192.168.1.1|grep "1 received">/tmp/networkcheck.txt

Everything is fine, the file is created. If there is no ping, then it is empty, with some amount of ping. But the check for file size itself takes a decent amount of code.
In general, how is it more correct to organize such checks in the shell?

Answer 1

ping 192.168.1.1 -c 1 && echo Host is up

Answer 2

nmap -n -sP 192.168.1.1 | grep -c "1 host up"