DB Engine :: Check If DB Is Primary In Log Shipping

I have a server that has several DBs .. some are log shipping(ls_) and others are not. The current TRAN backup script just does a:

select name from sys.databases
where name !=  'ls_xxxx'
and name != 'ls_yyyyy'

Is there a way to check a status byte or something so I can remove the hard coded names?

select name from sys.sysdatabase
where status   =  'I log ship'  -- ;)

I checked several places, but found nothing. Finding other status like RECOVERING et al ... is easy