Robust stabilization of uncertain complex singular dynamical networks via impulsive control

This paper presents a general uncertain complex singular dynamical network model. Since the nodes of the network are singular systems, the overall network can only be described by a singular model. Due to the flexible of singular systems in describing practical applications, the complex singular dynamical network has more applications than the regular complex network in which the nodes are described by the state-space dynamical systems. Robust stabilization of such uncertain complex singular dynamical network is investigated via impulsive control. Based on the Lyapunov stability theory, sufficient conditions for the stabilization of the uncertain complex singular dynamical network are obtained under impulsive control. A systematic-design procedure is presented, and a numerical example is provided for illustration.