Finding Last minute file in a directory

[John007]

Dear Monks, I need to find the file created in last minute. I have sun solaris system which creates files called log_yy_mm_dd_hh_mm_ss.txt in a directory called mydir. I need to check for the file created in last minute and pull some data compare against set values and generate output.
I am having issue in identifying the last minute file. I can read files of that dir and compare with current time using localtime parameter as shown below but problem exists when time changes from ex. 7:59 to 8:00 or day changes at midnight i.e. script is non functional for a 1 minute period. I am looking for any unix commands/script or perl script whcih can give me last minute file. Though my file does have time stamp with its name. Thanks in advance

#!/usr/bin/perl
use Data::Dumper;
use Time::localtime;
$year = (localtime -> year) + (1900);
$mon = (localtime -> mon) + (1);
$mday = localtime -> mday;
$hour = localtime -> hour;
$min = (localtime -> min) ;
opendir (DIR, $directory) or die $!;
    while (my $file = readdir(DIR)) {
         if ($file =~ /^\w{10,16}(.txt)$/i ) {
          $filename = $1; 
if (($year == $fyear) && ($mon == $fmon) && ($mday ==  $fmday) && ($ho
+ur == $fhour) && ($min == ($fmin + 1))) {
$myfile = $filename;
}
}
}