Wondering if it is possible to add additional Subscription Status types?

I am wondering if we are able to additional Subscription Status types? By default, it comes with Active / Cancelled / Expired but we want to add 'deceased'. Well, we don't necessarily need deceased, but we do need one for SUSPENDED.
This is because some members violate our terms and we need to suspend their memberships. There are certain steps they can do to get their memberships back. So we would need a list of the suspended members. Please help.