摘要: |
用一种状态反馈控制器实现对一类非线性分数阶Hindmarsh Rose(HR)神经元系统的稳定性控制,根据分数阶线性系统的稳定性理论,得出受控制系统稳定的充分条件;最后给出数值模拟,验证定理的结论,并通过分析得到受控系统可通过改变反馈增益系数来扩大系统的稳定域。 |
关键词: 分数阶 稳定性 Hindmarsh Rose神经元模型 反馈控制 |
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Stability Control of Fractional Order Neuron System |
LI Feng ying, WU Ran chao
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Abstract: |
The stability control of a class of nonlinear fractional order Hindmarsh Rose (HR) neuron system is implemented by a state feedback controller, according to the stability theory of fractional order linear system. The sufficient condition for the stability of the controlled system is obtained, and finally numerical simulation is given to prove the conclusion of the theorem, and that the stability domain of the system can be expanded via changing feedback gain coefficient in the controlled system through the analysis. |
Key words: fractional order stability Hindmarsh Rose Neuron Model feedback control |