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arXiv · 1908.00968

Robust Almost Global Splay State Stabilization of Pulse Coupled Oscillators

Francesco Ferrante·Yongqiang Wang
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Abstract

This technical note deals with the problem of asymptotically stabilizing the splay state configuration of a network of identical pulse coupled oscillators through the design of the their phase response function. The network of pulse coupled oscillators is modeled as a hybrid system. The design of the phase response function is performed to achieve almost global asymptotic stability of a set wherein oscillators' phases are evenly distributed on the unit circle. To establish such a result, a novel Lyapunov function is proposed. Robustness with respect to frequency perturbation is assessed. Finally, the effectiveness of the proposed methodology is shown in an example.

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Francesco Ferrante, Yongqiang Wang. 2019-08-02. Robust Almost Global Splay State Stabilization of Pulse Coupled Oscillators. https://doi.org/10.1109/tac.2017.2677740

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