The purpose is to investigate the applicability of the principles of the synergetic control theory to a primitive object with the initial description in the form of a system of nonlinear differential equations with a delay. In terms of intensionality, control will be here understood as the rule of intake of the substance (agent) into a living organism, which serve as antidotes to a disease, in the form of a pair of variables (time of the substance administration and amount of the administered substance). Based on a new algorithm of a discrete nonlinear analytical synthesis, three systems of control over such an object are designed for the following cases: 1) a control object is functioning under completely determined conditions; 2) a control object is affected by the deterministic unknown constrained disturbances via the control variable; 3) presence of an additive random noise on any variable. The results of a comparative numerical modeling of the designed control systems are presented, which function without any preliminary filtration of the random variable measurements and with a filtration by a kernel regression algorithm. The results can be used in the decision support systems.

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The purpose of the paper is to study the principal appropriateness of the synergetic control theory to the simplest immunological object with the initial description in the form of a system of nonlinear differential equations. Physically, the control here refers to a regime to administer anti-disease substances. Based on the analytical synthesis, two control systems for an object were obtained: 1) for a continuous deterministic case; 2) for a discretized model with additive random noise in a controlled variable. The results of numerical modeling of the developed control systems that can be used in the respective decision support systems are presented.