POSITIVENESS OF DYNAMIC-SYSTEMS WITH NONPOSITIVE COEFFICIENT MATRICES

This note gives a dynamical solution for linear dynamical feasibility problems, and applies this result to a generalization of the concept o f positive systems. More specifically, we require the existence of a p ositive state and/or output evolution for any initial state in a given set. We give conditions for various sets of initial states. Finally, by means of an example, we illustrate our results.