use warnings;
use strict;
use DateTime;
use DateTime::Format::Strptime;

my $str = "03/13/2016 02:00:00";

my $strp = DateTime::Format::Strptime->new(
	pattern => '%m/%d/%Y %H:%M:%S',
	time_zone=>'floating', on_error=>'croak');

my $dt = $strp->parse_datetime($str);

if ($dt->year==2016 && $dt->month==3 && $dt->day==13
    && $dt->hour==2) { # any minute and second
	$dt->add(hours=>1);
}
$dt->set_time_zone('America/Los_Angeles');

print $dt->strftime('%Y-%m-%d %H:%M:%S %Z'),"\n";

__END__

2016-03-13 03:00:00 PDT