Graphic theory on stability of networked control systems
网络控制系统稳定性的图理论

A new criterion on stability is presented for networked control systems with bounded time-delays and data packet dropout. Based on the Lyapunov method and the graph theory, we develop the sufficient conditions of the asymptotic stability for nonlinear discrete-time and continuous-time networked control systems, respectively. The allowable upper bounds of time-delays that will preserve the stability of the two classes of systems are determined; and the process of controller design is presented. Moreover, a sufficient condition for the interval stability of networked control systems is also given in terms of the spectral characteristics of interval matrices. The gain of the proportional-integral feedback controller can be determined by the algorithm. Numerical examples are given to illustrate the effectiveness of the proposed method.