Question: Consider the following SISO system with complex characteristic roots. Develop state space model in matrix form with diagonal state equations. Also find block diagonal model

Consider the following SISO system with complex characteristic roots. Develop state space model in matrix form with diagonal state equations. Also find block diagonal model involving real numbers.

$T (s) = \frac{Y (s)}{U (s)} = \frac{2 s^{2} + 3 s - 4}{(s + 2) (s^{2} + 6 s + 10)}$

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