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I am not sure what a valid transpose of a StateSpaceModel is but here is an attempt: ssm = StateSpaceModel @ TransferFunctionModel[{{a^2/(s^2 + b s + c)}}, s] Transpose /@ #[[{1, 3, 2, 4}]] & /@ ssm


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m1 = 1/(s + 1); m2 = 1/(s + 1)^2; TransferFunctionModel[m1, s][s] - TransferFunctionModel[m2, s][s] {{-(1/(1 + s)^2) + 1/(1 + s)}} TransferFunctionModel[ TransferFunctionModel[m1, s][s] - TransferFunctionModel[m2, s][s], s] == TransferFunctionModel[m1 - m2, s] True



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