Consider a linear time invariant system i = Ar, r(0) = [0, 1, 1] = R...

 

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Consider a linear time invariant system i = Ar, r(0) = [0, 1, 1] = R³ with -1 2 -1 0 -1 0 0 1 A = 1. Find the Jordan canonical form of A and give the transformation matrix. 2. Find the solution of the differential equation under given initial conditions. 3. Let A be perturbed by a constant a € R and A = 0 2 -1 a 1 ·2 Find the possible values of a such that the system i = Ar is asymptotically stable. Consider a linear time invariant system i = Ar, r(0) = [0, 1, 1] = R³ with -1 2 -1 0 -1 0 0 1 A = 1. Find the Jordan canonical form of A and give the transformation matrix. 2. Find the solution of the differential equation under given initial conditions. 3. Let A be perturbed by a constant a € R and A = 0 2 -1 a 1 ·2 Find the possible values of a such that the system i = Ar is asymptotically stable.

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