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(Solved): Problem 3 (15 points) A continuous-time linear system has transition matrix (t,0)=[e3t2te3 ...


Problem 3 (15 points) A continuous-time linear system has transition matrix \( \phi(t, 0)=\left[\begin{array}{cc}e^{-3 t} & 0

Problem 3 (15 points) A continuous-time linear system has transition matrix . Please find , given that . Also, please determine whether or not the system is time-invariant.


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To find x(2), we can use the following formula for the state transition matrix:x(t) = ?(t, t0) x(t0)Setting t0 = 0 and t = 2, we get:x(2) = ?(2,0) x(0
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