On the Reachability of a Feedback Controlled Leontief-Type Singular Model Involving Scheduled Production, Recycling and Non-Renewable Resources

This paper proposes and studies the reachability of a singular regular dynamic discrete Leontief-type economic model which includes production industries, recycling non-renewable products in an integrated way. The designed prefixed final state to be reached, under discussed conditions, is subject necessary additional positivity-type constraints depend on initial conditions time for solution match such prescribed state. It assumed that may driven by both demand correcting control order achieve targeted finite time. Formal sufficiency-type are established proposed Leontief reachable positive feedback, controls appropriate demand/supply regulation. Basically, regulation scheme allows fixing goods stock if reachable.