BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES 


Volume
54, Issue 3, September 2006
Control in Power Electronics and Drives 

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pp 347  350 

Computation of realizations of discretetime conesystems 

T. KACZOREK 
A new notion of a realization of transfer matrix of (P;Q; V)conesystem for discretetime linear systems is proposed. Necessary and sufficient conditions for the existence of the realizations are established. A procedure is proposed for computation of a realization of a given proper transfer matrix T(z) of (P;Q; V)conesystem. It is shown that there exists a realization of T(z) of (P;Q; V)conesystem if and only if there exists a positive realization of T(z) = V T(z)Q!1, where V;Q and P are nonsingular matrices generating the cones V;Q and P respectively. 
Key words: 
computation, cone, positive realization, discretetime system, procedure 

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