Question: You are given a state-variable realization of a second-order system hav-ing the following matrix and vectors (a) Find an invertible matrix F that can be

You are given a state-variable realization of a second-order system hav-ing the following matrix and vectors

.& - [, ъ] -a1 -ao Ac bị bo I|

(a) Find an invertible matrix F that can be used to transform the given state and output equations into state and output equations with matrix and vectors:

А, — А, b, 3 C, с! %3D ь? Ce, C = b т

(b) Assume that

is there an invertible matrix F that would permit to change the given realization into a realization with matrices [A_o, b_o, c_o]? Explain.

.& - [, ъ] -a1 -ao Ac bị bo I| А, — А, b, 3 C, с! %3D ь? Ce, C = b т

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