Stabilization of oscillations of a controlled autonomous system

DOI10.1134/s0005117923050089zbMath1521.93124OpenAlexW4386820744MaRDI QIDQ6078063

V. N. Tkhai

Publication date: 27 September 2023

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117923050089

zbMATH Keywords

controlattracting cycleautonomous systemLyapunov center theoremnatural stabilizationglobal familynon-degenerate periodic solution

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Periodic solutions to ordinary differential equations (34C25) Automated systems (robots, etc.) in control theory (93C85) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Stabilizing the oscillations of an autonomous system
• Stabilizing the oscillations of a controlled mechanical system with \(n\) degrees of freedom
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• Cycle mode in a coupled conservative system
• Stabilizing the oscillations of a controlled mechanical system
• Equilibria and oscillations in a reversible mechanical system
• Nonlocal generalization of the Lyapunov theorem
• Global continuation of Lyapunov centre orbits in Hamiltonian systems
• Swinging control of nonlinear oscillations
• Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach

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