Consider a linear system with state transition matrix (t, 7) for which et cos(2t) sin(2t) (t,...

 

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Consider a linear system with state transition matrix (t, 7) for which et cos(2t) sin(2t) (t, 0) = et sin(2t) -2t cos(2t) (P1) Compute the state transition matrix (t, to). (P2) Compute a matrix A(t) which corresponds to the given state transition matrix. (P3) Compute the eigenvalues of A(t). (P4) Classify stability of (t) = A(t)x(t). Consider a linear system with state transition matrix (t, 7) for which et cos(2t) sin(2t) (t, 0) = et sin(2t) -2t cos(2t) (P1) Compute the state transition matrix (t, to). (P2) Compute a matrix A(t) which corresponds to the given state transition matrix. (P3) Compute the eigenvalues of A(t). (P4) Classify stability of (t) = A(t)x(t).