Synchronization of kuramoto oscillators with non-identical natural frequencies: a quantum dynamical decoupling approach

摘要: This paper proposes a method to counter the drift associated unknown non-identical natural frequencies in Kuramoto model of coupled oscillators. Inspired by quantum dynamical decoupling technique, it builds on time-varying variant dynamics effectively bring oscillator phases closer same value. allows effective synchronization despite arbitrarily large differences frequencies. For two agents admitting instantaneous position exchanges, we exactly compute how relative phase converges stable periodic fixed point. The latter tends zero when switches at faster rate. With continuous state evolutions, using related dynamic controller instead jumps, show with Lyapunov function that exact is obtained. We generalize multiple oscillators can be implemented cycling through predefined or random sequence exchanges. Simulation results illustrate effectiveness algorithms.