神经元网络同步的收缩分析

IX Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, 2011 IEEE Pub Date : 2011-11-28 DOI:10.1109/LARC.2011.6086840

G. Solis-Perales, G. Obregon-Pulido

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引用次数: 1

摘要

使用收缩理论的神经元网络同步被报道在这个贡献。收缩理论提供了一种简单的方法来确定网络中系统轨迹的收敛性，而不是主稳定函数和Lyapunov指数的计算。目标是确定收缩区域，一旦轨迹到达该区域，它们将彼此收敛并保持在该收缩区域。这种条件主要取决于系统参数、网络拓扑结构和耦合强度。

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On contraction analysis of synchronization of neuron networks

The synchronization of neuron networks using the contraction theory is reported in this contribution. The contraction theory provides a simple method to determine convergence of trajectories of the systems in the network instead of the Master Stability Function and the calculation of Lyapunov exponents. The objective is to determine the contraction region where once the trajectories reach such region they will converge each other and remain in such a contraction region. Such a condition lies mainly on the system parameters, network topology and coupling strength.

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IX Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, 2011 IEEE

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