my %SSH_Prm = (
            "protocol"         => '2',
            "use_pty"          => 0,
            "options"          => ["stricthostkeychecking no"],
            "identity_files"   => ["/home/user/.ssh/id_rsa"],
            "debug"            => 1,
        );
    my $ssh = Net::SSH::Perl->new($server,%SSH_Prm);
    $ssh->login("deploy");
    my ($out,$err,$exit) = $ssh->cmd("/usr/bin/sudo $command");

##</code><code>##

server.domain.net: Authentication methods that can continue: publickey.
server.domain.net: Next method to try is publickey.
server.domain.net: Trying pubkey authentication with key file '/home/user/.ssh/id_rsa'
server.domain.net: Authentication methods that can continue: publickey.
server.domain.net: Next method to try is publickey.
Permission denied at ./start_tomcat_remote line 88

##</code><code>##

ssh -vv -i /home/user/.ssh/id_rsa deploy@server.domain.net
...
debug1: Offering public key: /home/user/.ssh/id_rsa
debug2: we sent a publickey packet, wait for reply
debug1: Server accepts key: pkalg ssh-rsa blen 277