Modified Projective Synchronization of a Class of Fractional-Order Neural Networks Based on Active Sliding Mode Control
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摘要: 研究了分数阶神经网络的修正投影同步问题.首先通过选取合适的激励控制器来辅助设计滑模控制器.然后通过设计选取了合适的切换平面和有效的趋近率,并根据滑模控制理论和分数阶微分方程的基本理论,建立了使驱动系统和响应系统实现修正投影同步的激励滑模控制器.最后,通过数值仿真实例,验证了所得结果的有效性和可行性.Abstract: The modified projective synchronization of a class of fractionalorder neural networks was studied. An appropriate active controller was firstly selected to facilitate the design of the sliding mode controller. Afterwards, a suitable switching plane and 2 effective reaching laws were defined and several criteria were established to ensure the synchronization of the driveresponse systems based on the sliding mode control theory and the theory of fractional differential equations. Numerical examples verify the validity and feasibility of the theoretical results.
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