title: ÐÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¾Ð´Ð½Ð¾Ð¿ÐµÑÐ»ÐµÐ²ÑÑ ÑÐ¸ÑÑÐµÐ¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð·Ð°ÐºÐ¾Ð½Ð°Ð¼Ð¸ ÑÐµÐ³ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: Ð£Ð¼Ð¸ÑÑÐ°ÐµÐ² , ÐÐ°ÑÐ³ÑÐ»Ð°Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ
ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ
ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ°Ð´Ð¸Ð¾Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸ÐºÐ¸
ÐºÑÐ¸ÑÐµÑÐ¸Ð¹ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸
ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ
Ð·Ð°ÐºÐ¾Ð½Ñ ÑÐµÐ³ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
stability
management system
system radioavtomatika
sustainability criteria
computer modeling
gain coefficient
the laws of regulation

description: Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿ÑÐ¾Ð´ÐµÐ»Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾Ð´ÑÐ²ÐµÑÐ¶Ð´ÐµÐ½Ð° Ð¿ÑÐ°Ð²Ð¸Ð»ÑÐ½Ð¾ÑÑÑ Ð³Ð¸Ð¿Ð¾ÑÐµÐ·Ñ Â«Ð°Ð²ÑÐ¾ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ°Â», Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½Ð°Ñ Ð. Ð. ÐÐ¹Ð·ÐµÑÐ¼Ð°Ð½Ð¾Ð¼ [1], Ð´Ð»Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð·Ð°ÐºÐ¾Ð½Ð°Ð¼Ð¸ ÑÐµÐ³ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð³Ð¸Ð¿Ð¾ÑÐµÐ·Ðµ Ð³Ð¾Ð²Ð¾ÑÐ¸ÑÑÑ Ð¾ ÑÑÐµÐ±ÑÐµÐ¼ÑÑ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð´Ð»Ñ Ð²Ð¾Ð·Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ñ Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐµÐ¶Ð¸Ð¼Ð¾Ð² Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Â«ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÐ¹Â» ÐºÑÐ¸ÑÐµÑÐ¸Ð¹ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ, Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ñ Ð¿Ð¾ÑÐµÑÑ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð¸ Ð½Ð°Ð¹ÑÐ¸ Â«ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½Ð¾ÐµÂ» Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¾ÑÑ Ð½ÐµÐ·Ð°ÑÑÑÐ°ÑÑÐ¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ. ÐÐ¾ Ð¼ÐµÑÐµ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ Ðº ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¾Ð¼Ñ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ, ÑÐ°ÑÑÐ¾ÑÐ° ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ, ÑÑÑÐµÐ¼Ð¸ÑÑÑ Ðº ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½Ð¾Ð¹ ÑÐ°ÑÑÐ¾ÑÐµ Ð¾ÑÑÐ¸Ð»Ð»ÑÑÐ¾ÑÐ°, Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ð° ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ. ÐÐ»Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ 3-Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ° ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Â«ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÐ¹Â» ÐºÑÐ¸ÑÐµÑÐ¸Ð¹ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿Ð¾Ð»Ð½Ð¾ÑÑÑÑ ÑÐ¾Ð²Ð¿Ð°Ð´Ð°ÐµÑ Ñ Ð°Ð»Ð³ÐµÐ±ÑÐ°Ð¸ÑÐµÑÐºÐ¸Ð¼ ÐºÑÐ¸ÑÐµÑÐ¸ÐµÐ¼ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÐÑÑÐ²Ð¸ÑÐ°.
description: The result of this work is the confirmation of correctness of "autoresonant" hypothesis, proposed by M. Aizerman [1] for control systems with some different laws of regulation. This hypothesis talks about the required conditions for the occurrence of periodical modes in the control system. It was proposed a "resonance" stability criterion, which allows determining the critical value of the gain, in which there is a loss of stability in the management system, and finding the "resonant" frequency of continuous oscillations arising in the system. When the gain approaches to the critical value, the oscillation frequency occurring in the system tends to the natural frequency of the oscillator, whose value depends on the gain. The "resonant" stability criterion coincides with the algebraic Hurwitz stability criterion for 3rd level complexity control systems.