Stability and synchronization of oscillators: new Lyapunov functions

DOI10.1134/S0005117917070050zbMath1373.93250OpenAlexW2736490243MaRDI QIDQ1675833

Yana I. Kvinto, Boris T. Polyak

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1134/s0005117917070050

zbMATH Keywords

Lyapunov functionoscillatorasymptotic stabilitynonlinear oscillationssynchronizationsynchronous motor

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Investigation of the problem on a parametric resonance in Lurie systems with weakly oscillating coefficients ⋮ Stable Synchronous Propagation of Signals by Feedforward Networks ⋮ Robust leader-follower synchronization of electric power generators

Cites Work

• Problem of uniform deployment on a line segment for second-order agents
• Synchronization in complex networks of phase oscillators: a survey
• Stability study of a power system with unipolar electromagnetic brake
• Complete synchronization of Kuramoto oscillators with finite inertia
• HILBERT'S 16TH PROBLEM FOR QUADRATIC SYSTEMS: NEW METHODS BASED ON A TRANSFORMATION TO THE LIENARD EQUATION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability and synchronization of oscillators: new Lyapunov functions