EE611

Homework #25

Due Friday November 7

1. For the continuous-time system in Homework #24:

a) Determine the stability of the original continuous time system (you did this already!!).

b) For the method of discretization used in Problem 1a-d of HW#24 (), determine the stability of the discrete-time system. Is stability preserved?

c) For the method of discretization used in Problem 2a of HW#24 (), determine the stability of the discrete-time system. Is stability preserved in this case?

2a) Suppose we have a time-varying state variable model, , find an expression for then find a closed form solution for xk

b) Use your answer to part a) to solve

when:

i) (discrete impulse)

ii) (discrete-step)