Abstract.The results of a comparative study on economic security of enterprises depending on the quantity of business activities are published in the article. The sampling for analysis was conducted based on statistic data of Primorsky Region of the Russian Federation. The control points are the years of the most thorough data collection on the business activities of one-field and diversified enterprises:

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In this paper the piecewise defined nonlinear ambiguous system is considered. The stability of such objects is investigated using separately excited DC generator with two excitation windings with relay control system taking into account magnetic hysteresis phenomenon. The Lyapunov function for this system is designed by direct Lyapunov method and its generalization through Dini derivatives that allows approving the stability of generator with nonlinearities.