|
This article is cited in 5 scientific papers (total in 5 papers)
Nonlinear Systems
Stabilization of oscillations of a controlled reversible mechanical system
V. N. Tkhai Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
Abstract:
We consider reversible mechanical systems that have the property of space-time symmetry and are distinguished by a linear transformation of the phase space. It is assumed that the system admits a nondegenerate symmetric periodic motion. The problem of stabilizing the oscillations of a controlled reversible mechanical system is solved, controls are found, an attracting cycle is constructed, and an example is given.
Keywords:
reversible mechanical system, symmetric periodic motion, family, control, attracting cycle, natural stabilization.
Citation:
V. N. Tkhai, “Stabilization of oscillations of a controlled reversible mechanical system”, Avtomat. i Telemekh., 2022, no. 9, 94–108; Autom. Remote Control, 83:9 (2022), 1404–1416
Linking options:
https://www.mathnet.ru/eng/at15922 https://www.mathnet.ru/eng/at/y2022/i9/p94
|
Statistics & downloads: |
Abstract page: | 82 | References: | 22 | First page: | 18 |
|