|
Avtomatika i Telemekhanika, 2016, Issue 6, Pages 38–46
(Mi at14484)
|
|
|
|
This article is cited in 22 scientific papers (total in 22 papers)
Nonlinear Systems
Stabilizing the oscillations of an autonomous system
V. N. Tkhai Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
For a dynamical system that admits a family of oscillations, we propose a small smooth autonomous control that corrects the model itself and at the same time stabilizes the oscillations of the controlled system. We consider a separate system, a set of dynamical systems, and a dynamical model containing weakly coupled subsystem (MCCS). For the MCCS, we give a solution of the stabilization problem for oscillations of the system itself. We use an idea that goes back to Pontryagin's work on the limit cycle for a system close to Hamiltonian.
Citation:
V. N. Tkhai, “Stabilizing the oscillations of an autonomous system”, Avtomat. i Telemekh., 2016, no. 6, 38–46; Autom. Remote Control, 77:6 (2016), 972–979
Linking options:
https://www.mathnet.ru/eng/at14484 https://www.mathnet.ru/eng/at/y2016/i6/p38
|
Statistics & downloads: |
Abstract page: | 244 | Full-text PDF : | 68 | References: | 38 | First page: | 16 |
|