Can I terminate the non-custodial rights without their signature and or consent?

I have three kids ages 9, 7, and 4. All born in another state. All of which have the same father. We we're together 10 years total, although never married. I left with my kids in March 2013. The other parent lives with them. We have lived here since March 2013. He hasn’t made effort to visit or pick them up at all. He didn't send support until possibly around the last month in 2014. He didn't comply with establishing paternity when asked. He refuses to send assistance when he stated. We kind of wait until he chooses to and it's never what he says. Ex: I'll send you $100 and when the day comes, it's only $30.