A model of feedback control system on network and its stability analysis

A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff’s matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results.

► A model of feedback control system on network is constructed.
► Its robust stability and global exponential stability are investigated.
► We mainly apply Lyapunov method and generalized Kirchhoff’s matrix tree theorem.
► The stability criterions are presented in terms of the topology property of the network.