Find the dynamical equations for this circuit, where you set u(t)= Vs(t) and y(t) = Vo(t), and use the

capacitor voltage and inductor current as state variables. Then, setting R=2, L = 3, and C = 1/6,

find the eigenvalues for the state matrix, A. Then use the Cayley-Hamilton theorem to find the state

transition matrix. Finally, put it all together and setting the input to be a unit step function with

V (0) = 1 and 1(0) = 0, evaluate the complete response. You may want to read my notes to

remember all of the steps and get the Cayley-Hamilton theorem part correct.

Vc

北

C

R

ele

L

+

Vo

I