I am trying to manually get the state space representation of an RLC network. I often end up with a bunch of differential equations that I can't relate to each other. I think it would be easier to just get the transfer function between the output and the input for the system and then convert the transfer function to a state space. Can I always do this ? Using transfer functions always gives a different state space representation and I just want to make sure this is fine.
Here's my attempt at using a transfer function to get a state space representation: