Is there any chance L visa can apply for permanent residence?

My husband ( but we are not yet married) is a permanent resident in beijing. Me and my kids are going there this May, Our kids who are both minors were granted S1 type, I believe they are qualified to apply also for permanent residence. But me I was granted L type. What is the best way I can do so I can stay there in longer period? Because in order for the kids to stay there of course they need me.. Please help us.. Thanks