MATHEMATICAL INTERPRETATION OF FEEDBACK PRINCIPLE IN THE HIGH-TECH ENTERPRISE MANAGEMENT

The paper deals with the solution of the problem of feedback efficiency improvement in high-tech enterprise management through a mathematical interpretation of the feedback principle. The author built a structure diagram of the functioning of a single-industry high-tech enterprise, based on the methodology approaches and principles of the automatic control theory and containing some blocks: analytical block, production and sales block, information block, as well as the feedback loop, and the necessary symbol system. The paper presents the equations describing the functioning of a single-industry high-tech enterprise according to this structure diagram. The resulting expressions describe the relations within the system and allow obtaining the dynamic relations and differential equations of the system for the variants of revenue, cost, and their totality feedbacks. To derive differential equations describing the feedback loop of a single-industry high-tech enterprise, the authors obtained a system of expressions in operator form and further transformed it into a differential equation. Based on the received expressions, the authors carried out mathematical modeling of activity of a single-industry high-tech enterprise at the closed and open feedback loop in the control system with the use of the Mathcad editor. The graphs presented in the result of modeling reflect the influence of feedback loop on the economic performance of a single-industry high-tech enterprise, which is expressed in less stability of an enterprise as a production and economic system at open feedback loop due to the longer transition process (the recovery time of a system after perturbing effects) and greater divergence of the actual parameters of cost and revenue compared to the planned parameters.

single-industry high-tech enterprise, productive-economic system, management, feedback, automatic control theory, modeling, mathematical interpretation