Stabilizing the oscillations of an autonomous system


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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.

About the authors

V. N. Tkhai

Trapeznikov Institute of Control Sciences

Author for correspondence.
Email: tkhaivn@yandex.ru
Russian Federation, Moscow

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