Question: State transition matrix

A fouth order system is described by the differential equation

          (d^4 y)/(dt)^4 + a_3  (d^3 y)/(dt)^3 + a_2  (d^2 y)/(dt)^2 + a_1  dy/dt+ a_0 y(t)=u(t)      

Where y(t) is the output and u(t) is any input

  • Determine the matrix A.
  • Using the condition det[A – λI ]

Determine the eigen values λ.

  • Compute the state transition matrix using maple.
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