Stability analysis of networked control systems with generalized nonlinear perturbations

Abstract

In this paper, the problem of stability analysis of networked control systems with multiple communication channels, time-varying delays and generalized nonlinear perturbations is addressed. By applying Lyapunov-Krasovskii functional and by exploiting Newton-Leibniz formula and some free-weighting matrices, a new sufficient delay dependent criteria is established for checking the asymptotical stability of the considered system in the linear matrix inequality (LMI) framework. Via available software packages, the obtained LMI is easy to implement and verify. In addition, a numerical example is presented to indicate the effectiveness of the proposed criteria.