EE422
HW#12
Due Thursday, March 4
1. Given the following state variable model:
a) Use Laplace Transforms to find 
b) Repeat part a) using the Cayley-Hamilton method
c) Again using Cayley-Hamilton, find coefficients c0 and c1 such that 
. Verify your answers for k=0,1, and 2.
d) Lastly, find 
and evaluate at t=1, 2, and 3 seconds
e) Is the system stable, marginally stable, or unstable?
2. Given the following state variable model with repeated eigenvalues:
a) Use Laplace Transforms to find
b) Repeat part a) using the Cayley-Hamilton method
c) Again using Cayley-Hamilton, find coefficients c0 and c1 such that .
d) Verify your answers for k=0, 1, and 2. What happens if you let k=-1?
e) Lastly, find and evaluate at t=0, 1, 2, and 3 seconds
f) Is the system stable, marginally stable, or unstable?