Geodesic
A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays
International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) no. 4, pp. 897-905.

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A new modified state variable diagram method is proposed for determination of positive realizations of linear continuous-time systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.
Keywords: state diagram method, determination, linear, continuous time, delay, realization
Mots-clés : oznaczanie, liniowy układ ciągły, opóźnienie, realizacja dodatnia 
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Kaczorek, T. A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) no. 4, pp. 897-905. http://geodesic.mathdoc.fr/item/IJAMCS_2012_22_4_a8/

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