基于激励滑模控制的分数阶神经网络的修正投影同步研究

Modified Projective Synchronization of a Class of Fractional-Order Neural Networks Based on Active Sliding Mode Control

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.

The modified projective synchronization of a class of fractional-order 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 drive-response 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.