奇异分数阶复杂动态网络的鲁棒同步: LMI 法

为解决奇异分数阶复杂动态网络的同步问题, 将连续频率分布等价模型引入到分数阶奇异系统中, 应用间接李雅普诺夫方法, 通过设计同步控制器将奇异系统正常化, 给出阶次在 0<α<1 范围内能使不确定奇异分数阶复杂动态网络同步全新的充分条件。 利用 Matlab 的 LMI(Linear Matrix Inequalities)工具箱求解控制器的增益。 通过仿真算例及数据验证, 表明该方法可有效地解决复杂动态网络同步问题。

Linear Matrix Inequality Criteria for Robust Synchronization of Singular Fractional-Order Complex Dynamical Networks

In order to solve the problem of the synchronization for singular fractional-order complex dynamic networks,the continuous frequency distributed equivalent model and the indirect Lyapunov approach are applied in the research of the singular fractional-order systems,a fractional-order synchronization controller is proposed to normalize the singular fractional-order system.A novel sufficient condition for synchronization of uncertain singular fractional-order complex dynamic networks with the order α(0<α<1)is presented.The LMI(Linear Matrix Inequalities)techniques is used to obtain the gain of controller.A numerical example is provided to demonstrate the validity of the proposed methods.