Invoke-Command

$regex = "foo"
foreach($line in Get-Content .\hosts.txt) {
    if($line -match $regex){
        write-output $line
        Invoke-Command -ComputerName "$line" -ScriptBlock { hostname }
    }
}

Running command or local script on remote host

curl.exe -L $URL -o C:\tmp\myscript.ps1

$hostname = "myhost"; Invoke-Command -ComputerName $hostname -f C:\tmp\myscript.ps1

Invoke-Command -ComputerName $hostname -ScriptBlock { Get-ChildItem C:\ } -credential $username

Invoke-Command -ComputerName $hostname -f C:\tmp\local-file-on-remote.ps1

Run on array of multiple hosts via foreach

$hostnames = @(
    'host1'
    'host2'
)

foreach ($hostname in $hostnames) {
  Invoke-Command -ComputerName $hostname -ScriptBlock { ipconfig }
}