Bounded real lemma for a class of linear discrete-time networked control systems

This paper studies the problem of bounded real lemma for a class of linear discrete-time networked control systems. By introducing an augmented matrix, the Lyapunov-Krasovskii functional of some existing literatures is improved and the discrete Wirtinger-based inequality is used to deal with the finite-sum term. Combining the discrete Wirtinger-based inequality and the reciprocally convex approach, we obtain a less conservative bounded real lemma for networked control systems. Finally, the numerical simulations by LMI toolbox in MATLAB are compared with the existing literatures and the validity of the used method is verified.