Question: Consider a linear system, 1 6(t) = n - 1 [ =() - wilt), where if (1, n). (a) Letting =(t) = [21(t), 22(t),....= (t)],

Consider a linear system, 1 6(t) = n - 1 [ =() -
Consider a linear system, 1 6(t) = n - 1 [ =() - wilt), where if (1, n). (a) Letting =(t) = [21(t), 22(t),....= (t)], the above systems can be written as a matrix-based differential equation ? (t) = As(t). Find the matrix A. (b) When n = 3, show that all states 2;(t) converge to a common value, regardless of the initial conditions ; (0). (c) Will the states 2;(t) converge to a common value for n > 3? (Give the answer and show the proof)

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