Synchronization of singular switched complex networks via impulsive control with all nonsynchronized subnetworks
Tao Zhan, Shuping Ma, Xinzhi Liu · International Journal of Robust and Nonlinear Control · 2019
Summary This paper studies impulsive synchronization of a class of nonlinear singular switched complex networks (SSCNs). With the aid of discretized Lyapunov function method and the matrix generalized inverse technique, an impulsive controller is designed, which works on both the slow and the fast state variables to synchronize SSCNs at impulsive instant. Based on the designed controller, it is shown that the synchronization of SSCNs is achieved in two cases: all subnetworks that are not self‐synchronized and all subnetworks that are self‐synchronized. Moreover, an example is given to validate the effectiveness of the proposed controller.