controllability

This paper investigates the notion of domination in linear fractional-order distributed systems in a finite-dimensional state.  The objective is to compare or classify the input operators with respect to the output ones, and we present the characterization and property results of this concept.  Then, we examine the relationship between controllability and the notion of domination.  Finally, we provide a numerical example to illustrate our results.

The positive 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 with delays are established. The realization problem for positive fractional continuous-time systems is formulated and solved.