Check all hosts connected to the Local Area Network

_$: sudo nmap -sP 192.168.1.0-254

Or ping broadcast, although it will probably not work:

_$: ping -b 192.168.1.255 -c1

Or scan your whole network:

/home/<user>/scripts/net-check-local.sh:
----------------------------------------
#!/bin/bash -


if [[ -x /usr/bin/fping ]]
then
    printf "Using fping [fast]...\n"
    for ip in {1..255}
    do
        fping -c 1 -t 100  192.168.1.$ip &> /dev/null && printf "IP %s:OK\n" $ip
    done
else
    printf "Using ping [slow]...\n"
    for ip in {1..255}
    do
        ping -c 1 -W 1  192.168.1.$ip &> /dev/null && printf "IP %s:OK\n" $ip
    done
fi

_$: ./net-check-local.sh
Using fping [fast]...
IP 1:OK
IP 133:OK