A Novel Stability Criterion for Nonlinear Networked Control Systems using an Improved Triple-integral Inequality

This paper studied the stability problem of a class of nonlinear networked control systems (NCSs). First, it is assumed that the network-induced delay is differential and bounded on the interval. Second, by constructing a new Lyapunov-Krassovskii functional (LKF), and combining an improved triple-integral inequality with a condition of quadratic matrix inequality which is necessary and sufficient, a new criterion of system stability is obtained. Last, a numerical example is given to show the effectiveness of the proposed approach.