Nikulchenko A. Methods and information technology of decentralized guaranteed inventory control in supply networks with uncertain delays

The thesis focuses on the development of methods and information technology (IT) of decentralized guaranteed inventory control in supply networks (SN) with un-certain transportation delays. Modern information technologies of SN control are ana-lyzed. The mathematical model of the inventory control process at a local node of the SN and descriptor transformation of the model have been suggested. The control law is formulated in the form of linear state feedback. The work suggests an extension of the invariant ellipsoid method based on building of the Lyapunov-Krasovskii func-tional. Controller synthesis problem has been represented as the semidefinite pro-gramming problem. Suggested improvements to the method of forecasting the con-sumer demand for physical resources based on building a sales curve vectors. The suggested approach ensures optimal compensation of external demand influence on the level of resource stocks by the defined criteria. Suggested approach also ensures guaranteed value of the local quadratic control cost. Suggested improvements to the method of determining the maximum allowed delay. Using the comparison method and Lyapunov vector functions, the stability of the managed SN is analyzed. The the-sis also provides implementation strategy for the suggested IT, as well as the diagram of the IT components. The results have been used by commercial companies, as well as in the educational process at the National Technical University “KhPI”.