A Stability Criterion for a Class of Linear Discrete Networked Control Systems

The problem of a stability criterion for a class of linear discrete networked control systems with network-induced delay is discussed in this paper. To improve the existing Lyapunov-Krasovskii functional, we introduce a new augmented matrices and utilized an improved finite-sum inequality to deal with some sum-terms appearing in the difference of the Lyapunov-Krasovskii functional. A less conservative stability criterion is obtained for the system comparing to the existing stability results. In addition, the effectiveness of this method was verified by MATLAB LMIs toolboxes and two numerical examples show that the derived stability criterion is less conservative than the existing ones.