Generalized necessary and sufficient conditions for strictly positive real matrices
Mojtaba Hakimi-M, Hamid Khaloozadeh · 2009 ICCAS-SICE · 2009
In this paper a review on the necessary and sufficient conditions for strict positive realness property of rational matrices is presented. Then a necessary condition that imposed by high frequencies is demonstrated for SPR matrices by using Laurent and Taylor series. Furthermore, a generalized version of necessary and sufficient conditions for SPR matrices including improper one is developed. Finally, the results are illustrated by several examples.