I don't tend to initiate relationships or socialising either. I have made stabs at changing that at times.
The following is probably the experience of someone with ADHD rather than Asperger's.
TLDR: I think it's worth doing an analysis of what motivates your own patterns of behaviour.
A lot of the time I find relationships difficult work, and I think it's that puts me off. I think I'm a bit of a crap friend too, as I tend to never get in touch with other people, I never remember to ask what people are up to, check up on them, all that... It's not that I don't care, it's more that I tend to assume people are fine and getting on fine without my input, why would they want me interrupting...
I get annoyed when people start trying to conduct extensive small talk operations with me while I'm trying to be getting on with something... I'm rather intolerant really, and I assume that other people would be similarly inclined (not necessarily so)
It requires a lot of effort to pay attention to someone, so I reckon I'm unconsciously saving that energy up for when it's really necessary. I probably also subconsciously put out signals that this is how I need it or want it to be... 'don't bother me unless it's really important'. That's probably not good either.
I find it hard to be conduct what I consider a proper friendship with more than 1 or 2 people at once, I just don't have the organisational skills.
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