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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.217:519.718:519.837
Yurchenko I.V., Yasynskyy V.K.

STABILITY OF SELF-ADAPTIVE STOCHASTIC DYNAMIC SYSTEMS WITH FINITE AFTEREFFECT
AND REFERENCE MODEL

Abstract. The stability of self-adaptive stochastic automatic control systems with aftereffect is analyzed. The self-adaptive contour is synthesized using Lyapunov’s second method and the exponential p-stability in the whole is proved for stochastic differential equations with aftereffect.

Keywords: stochastic self-adjusting systems, automatic control, aftereffect, stability.



FULL TEXT

Юрченко Игорь Валерьевич,
кандидат физ.-мат. наук, доцент Черновицкого национального университета имени Юрия Федьковича,
e-mail: yurchiv@rambler.ru.

Ясинский Владимир Кириллович,
доктор физ.-мат. наук, профессор, заведующий кафедрой Черновицкого национального университета имени Юрия Федьковича, e-mail: yasinsk@list.ru.

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