ABSTRACT
The supply network model is adopted in the form of a graph with nodes described by discrete models in the state space, in which resource stock levels are used. Equations of local stabilizing controllers for nodes of supply network are obtained taking into account the uncertain delay. Stability analysis of large-scale controlled supply network, taking into account the interconnections between the nodes, is obtained on the basis of Lyapunov vector functions method using the dynamic aggregated comparison system. Among the modern control problems of complex technical and economic systems, the problem of supply networks control attracts considerable attention. The supply network model is usually represented as an oriented graph, the vertices of which corresponds to network nodes, determine the types and sizes of controlled stocks, and the arcs represent controlled and uncontrolled flows in the network.
