stuff before the T value => T value
A: MTI Clock is being generated correctly ; => T=1102377
B: MTI Clock is being generated correctly ; => T=1092605
perhaps result:
MTI Clock is being generated correctly ;  T=1102377  T=1092605

##</code><code>##

#!/usr/bin/perl;
use strict;
use warnings;
use Data::Dump qw(pp);

# initialize @array and @array1 to what the OP describes as his current "output".....

my @array =<<'EOF' =~  m/(^.*\n)/mg;
INFO @576892 mti_clk_chk: run_stimulus called; T=576892
INFO @1102266 PHResourceLayer_Z4: mti_clk_chk:################ start of test ################ ; T=1102266
INFO @1102334 PHResourceLayer_Z4: mti_clk_chk:Checking the period of MTI, MTI10 clk from SV; T=1102334
INFO @1102372 mti_clk_chk: Checking period of MTI CLk; T=1102372
INFO @1102377 mti_clk_chk: Period value of MTI Clock: 3.125000 ns; T=1102377
INFO @1102377 mti_clk_chk: MTI Clock is being generated correctly ; T=1102377
INFO @1102377 mti_clk_chk: Checking period of MTI10 CLk; T=1102377
INFO @1102418 mti_clk_chk: Period value of MTI10 Clock: 31.250000 ns; T=1102418
INFO @1102418 mti_clk_chk: MTI10 Clock is being generated correctly ; T=1102418
INFO @1102717 PHResourceLayer_Z4: mti_clk_chk: All clock period Checking done; T=1102717
INFO @1148661 mti_clk_chk: C-Code exit execution. code=<aa>; T=1148661
INFO @1148661 mti_clk_chk: ************************ SV END******************** ; T=1148661
EOF

my @array1 =<<'EOF2' =~  m/(^.*\n)/mg;
UVM_INFO @0 reporter testbench.top_level_module.\mti_clk_chk::main : MTI_CLK_CHK_STIM Started .....; T=0
UVM_INFO @0 reporter testbench.top_level_module.\mti_clk_chk::main : run_stimulus called; T=0
UVM_INFO @1092507 reporter Z4_COREA: mti_clk_chk: ################ start of test ################ ; T=1092507
UVM_INFO @1092563 reporter Z4_COREA: mti_clk_chk: Checking the period of MTI, MTI10 clk from SV; T=1092563
UVM_INFO @1092598 reporter testbench.top_level_module.\mti_clk_chk::main : Checking period of MTI CLk; T=1092598
UVM_INFO @1092605 /proj/rru2_verif/usr/Tilak/SV_UVM/testbench/data_ipdss/v_ms_mti_stim_vip/testbench/classes_v/mti_clk_chk.sv(147) uvm_test_top.default_env.default_sequencer100@@mti_clk_chk mti_clk_chk:INFO: Period value of MTI Clock: 3.125000 ns; T=1092605
UVM_INFO @1092605 reporter testbench.top_level_module.\mti_clk_chk::main : MTI Clock is being generated correctly ; T=1092605
UVM_INFO @1092605 reporter testbench.top_level_module.\mti_clk_chk::main : Checking period of MTI10 CLk; T=1092605
UVM_INFO @1092655 /proj/rru2_verif/usr/Tilak/SV_UVM/testbench/data_ipdss/v_ms_mti_stim_vip/testbench/classes_v/mti_clk_chk.sv(165) uvm_test_top.default_env.default_sequencer100@@mti_clk_chk mti_clk_chk:INFO: Period value of MTI10 Clock: 31.250000 ns; T=1092655
UVM_INFO @1092655 reporter testbench.top_level_module.\mti_clk_chk::main : MTI10 Clock is being generated correctly ; T=1092655
UVM_INFO @1092850 reporter Z4_COREA: mti_clk_chk: All clock period Checking done; T=1092850
UVM_INFO @1092886 /proj/rru2_verif/usr/Tilak/SV_UVM/testbench/data_ipdss/v_ms_mti_stim_vip/testbench/classes_v/mti_clk_chk.sv(186) uvm_test_top.default_env.default_sequencer100@@mti_clk_chk mti_clk_chk:INFO: ************************ SV END******************** ; T=1092886
EOF2

# evidently all that matters is stuff after the 'mti_clk_chk:' string
# so remove all before that critical stuff

@array  = map{/^.*(mti_clk_chk:.*\n)/;$1;}@array;
@array1 = map{/^.*(mti_clk_chk:.*\n)/;$1;}@array1;

## just print these arrays out so that we can see how to 
## compare them?

my $n=1;
foreach (@array) {print "A$n) ",$_; $n++}

print "===============================\n";

$n=1;
foreach (@array1) {print "B$n) ",$_; $n++}

## Make hash tables of the 2 records
## regex could be better - not the point here.. just a quick demo of an approach..

my %A = map{/mti_clk_chk:(?::main :|INFO:)?\s*(.*).*\s*T=(\d+)$/;$1 => $2}@array;
my %B = map{/mti_clk_chk:(?::main :|INFO:)?\s*(.*).*\s*T=(\d+)$/;$1 => $2}@array1;

#print only common values in sequential order of file A
print "\n********************************************\n";
print "Common Text descriptions with A and B T values:\n";
print "********************************************\n";

foreach my $mti (map{/mti_clk_chk:(?::main :|INFO:)?\s*(.*).*\s*T=(\d+)$/;$1}@array)
{
    if (exists $B{$mti})
    {
        print "$mti T(a)=$A{$mti} T(b)=$B{$mti}\n";
    }
}


__END__
A1) mti_clk_chk: run_stimulus called; T=576892
A2) mti_clk_chk:################ start of test ################ ; T=1102266
A3) mti_clk_chk:Checking the period of MTI, MTI10 clk from SV; T=1102334
A4) mti_clk_chk: Checking period of MTI CLk; T=1102372
A5) mti_clk_chk: Period value of MTI Clock: 3.125000 ns; T=1102377
A6) mti_clk_chk: MTI Clock is being generated correctly ; T=1102377
A7) mti_clk_chk: Checking period of MTI10 CLk; T=1102377
A8) mti_clk_chk: Period value of MTI10 Clock: 31.250000 ns; T=1102418
A9) mti_clk_chk: MTI10 Clock is being generated correctly ; T=1102418
A10) mti_clk_chk: All clock period Checking done; T=1102717
A11) mti_clk_chk: C-Code exit execution. code=<aa>; T=1148661
A12) mti_clk_chk: ************************ SV END******************** ; T=1148661
===============================
B1) mti_clk_chk::main : MTI_CLK_CHK_STIM Started .....; T=0
B2) mti_clk_chk::main : run_stimulus called; T=0
B3) mti_clk_chk: ################ start of test ################ ; T=1092507
B4) mti_clk_chk: Checking the period of MTI, MTI10 clk from SV; T=1092563
B5) mti_clk_chk::main : Checking period of MTI CLk; T=1092598
B6) mti_clk_chk:INFO: Period value of MTI Clock: 3.125000 ns; T=1092605
B7) mti_clk_chk::main : MTI Clock is being generated correctly ; T=1092605
B8) mti_clk_chk::main : Checking period of MTI10 CLk; T=1092605
B9) mti_clk_chk:INFO: Period value of MTI10 Clock: 31.250000 ns; T=1092655
B10) mti_clk_chk::main : MTI10 Clock is being generated correctly ; T=1092655
B11) mti_clk_chk: All clock period Checking done; T=1092850
B12) mti_clk_chk:INFO: ************************ SV END******************** ; T=1092886


# Some of the issues involved in the comparison between sets:
#   Line B1 doesn't exist in set A
#   line A11 doesn't exist in set B
# one plausible way to present the output?

********************************************
Common Text descriptions with A and B T values:
********************************************
run_stimulus called;  T(a)=576892 T(b)=0
################ start of test ################ ;  T(a)=1102266 T(b)=1092507
Checking the period of MTI, MTI10 clk from SV;  T(a)=1102334 T(b)=1092563
Checking period of MTI CLk;  T(a)=1102372 T(b)=1092598
Period value of MTI Clock: 3.125000 ns;  T(a)=1102377 T(b)=1092605
MTI Clock is being generated correctly ;  T(a)=1102377 T(b)=1092605
Checking period of MTI10 CLk;  T(a)=1102377 T(b)=1092605
Period value of MTI10 Clock: 31.250000 ns;  T(a)=1102418 T(b)=1092655
MTI10 Clock is being generated correctly ;  T(a)=1102418 T(b)=1092655
All clock period Checking done;  T(a)=1102717 T(b)=1092850
************************ SV END******************** ;  T(a)=1148661 T(b)=1092886