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On the state-space realizations of matrix fraction descriptions for multivariable systems

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1 Author(s)
Salehi, S. ; University of Manchester Institute of Science and Technology, Manchester, England

A new representative of the state is introduced. This makes a connection between the input/output description of the system (in terms of module theory) and the state-space description (in terms of abstract linear algebra) via the transfer function methods of Rosenbrock and the operator-form realization of Fuhrmann. The state and the realization are both expressed explicitly in terms of a minimal matrix fraction description of the transfer function matrix.

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Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 6 )