The positive fractional and cone fractional continuous-time and discrete-time linear systems are addressed. Sufficient conditions for the reachability of positive and cone fractional continuous-time linear systems are given. Necessary and sufficient conditions for the positivity and asymptotic stability of the continuous-time linear systems are established. The realization problem for positive ...

This technical report summarizes various key relationships in regards to continuous time and discrete time passive systems. It includes relationships for both the linear time invariant case and the non-linear case. For the linear time invariant case we specifically discuss relationships between minimal causal positive real strictly-positive real extended strictly-positive real systems and passi...

We show that for innnite-dimensional discrete-time positive systems the complex and real stability radius coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of diierential-diierence equations. 1. Introductory remarks This work is motivate...