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Transfer function matrix of singular systems

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2 Author(s)
Mertzios, B.G. ; Democritus University of Thrace, Xanthi, Greece ; Syrmos, B.L.

A formula is given, which allows the determination of the transfer function matrix of linear multivariable singular systems (i.e., systems of the form E\dot{x} =Ax + Bu , with E singular) directly in terms of the matrices of the state-space description and the characteristic polynomial without inverting a polynomial matrix. An alternative closed-form expression for the transfer function matrix in terms of the pencil A - sE is also given.

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Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 9 )