A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays
| Dec 28, 2012
International Journal of Applied Mathematics and Computer Science
Hybrid and Ensemble Methods in Machine Learning (special section, pp. 787 - 881), Oscar Cordón and Przemysław Kazienko (Eds.)
About this article
Published Online: Dec 28, 2012
Page range: 897 - 905
DOI: https://doi.org/10.2478/v10006-012-0066-x
This content is open access.
A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime 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.