Robust Almost Global Splay State Stabilization of Pulse Coupled Oscillators
Robust Almost Global Splay State Stabilization of Pulse Coupled Oscillators
复制标题
脉冲耦合振荡器的鲁棒几乎全局张开状态稳定
DOI：
10.1109/tac.2017.2677740
复制
发表时间：
2017
影响因子：
6.8
通讯作者：
Yongqiang Wang
中科院分区：
文献类型：
--
作者：
Francesco Ferrante;Yongqiang Wang
本文通过设计脉冲耦合振子网络的相位响应函数，讨论了全同脉冲耦合振子网络的张开态结构的渐近稳定问题。脉冲耦合振荡器网络被建模为一个混合系统。相位响应函数的设计是为了实现一个集合的几乎全局渐近稳定性，其中振荡器的相位均匀分布在单位圆上。为了建立这样的结果，提出了一种新的李雅普诺夫函数。相对于频率扰动的鲁棒性进行了评估。最后，通过实例验证了该方法的有效性.
This paper 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.
影响因子：
4.3
作者：
Canavier CC;Achuthan S
通讯作者：
Achuthan S