Question: Consider the linear, time-varying system: ic ( t) = A(t)a(t) + B(t)u(t) y ( t) = C(t)x (t) Let T(t) be a differentiable matrix-valued function,

Consider the linear, time-varying system: ic ( t) = A(t)a(t) + B(t)u(t) y ( t) = C(t)x (t) Let T(t) be a differentiable matrix-valued function, where T(t) is non-singular for all t. Let x(t) = T(t)x(t) denote the time-varying change-of-coordinates. Calculate matrix-valued functions A(t), B(t), and C(t) such that: ic (t ) = A(t)x (t) + B(t)u(t) y ( t ) = C(t) (t)

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