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

作者:Su Huan*; Qu Yanbin; Gao Shang; Song Huihui; Wang Ke
来源:Communications in Nonlinear Science & Numerical Simulation, 2013, 18(7): 1822-1831.
DOI:10.1016/j.cnsns.2012.10.018

摘要

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.