Dorofieiev I. Robust inventory control in supply networks with uncertainty of demand and time-delays

The object of investigation: the processes of automated inventory control in supply networks under uncertainty. The goal of investigation: development of the theory and the synthesis methods of the automated systems of robust inventory control in supply networks under uncertainty of demand and transport delays. Techniques of investigation: theoretical principles of the thesis are based on the fundamental provisions of automatic control theory and mathematical modeling theory, methods of control theory in the state space, linear algebra and the difference equations theory, the methods of the robust and optimal control theory, the matrix theory, the second Lyapunov method, the invariant ellipsoids method and the regulators synthesis method, based on the use of the linear matrix inequalities, the method of vector Lyapunov functions and the comparison method, the methods of the computation theory and the mathematical programming theory. Theoretical and practical results: are the development of inventory control systems in supply networks that provide the content preset inventory levels at the nodes in a network substantially limited information about traffic delays and volumes of external demand, as well as reducing the costs associated with the transportation and storage of material resources. Novelty of investigation: consists in the development of the theory and synthesis methods of a robust inventory control automated systems for material and technical resources in the supply networks on the basis of the method of invariant ellipsoids and techniques of linear matrix inequalities. The level of implementation: the results were by enterprises and organizations of Ukraine, as well as used in the educational process of the National Technical University "KhPI" in the disciplines that are based on a study of the methods of automatic control theory. The field of application: enterprises and organizations that are engaged in the production, storage and distribution of material and technical resources.