Abstract. The paper investigates increase in performance and stability of artificial intelligence systems that control dynamic technical objects. The problem of calculating the optimal switching time of the artificial intelligence system between the software classes by the criterion of the degree of rigidity of the model of the control object is considered. The solution of this problem is proposed for the general case of the control object dynamics when the rigidity of its mathematical model can significantly change during the operation and it is necessary to dynamically determine the transition time from standard methods of numerical integration to specialized numerical methods intended for calculating rigid models.
Keywords: mathematical modeling, control of engineering systems, artificial intelligence.