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
Fig: 1