CP11.7 Consider the system

0 1 0 x(1) = 0 0 1 x (1), -2-4 -4-6 y(t) = [100] x(t). (CP11.1) Suppose that we are given three observations y(),i=1, 2, 3, as follows: y(1) 1 at 11=0 y(12)=-0.0256 at 1 = 2 y(13) -0.2522 at 13 = 4. (a) Using the three observations, develop a method to determine the initial value of the state vector x(to) for the system in Equation CP11.1 that will reproduce the three observations when simulated using the Isim function. (b) With the observations given, compute x(10) and discuss the condition under which this prob- lem can be solved in general. (c) Verify the result by simulating the system response to the computed ini- tial condition. (Hint: Recall that x(t) = e^(t-to)x(to) for the system in Equation CP11.1.)