ℋ∞ / ℋ2 analysis for time-delay reset control systems

Abstract

This work extends previous stability results of reset control systems to the case in which external inputs and time-delay are present. Moreover, several results are developed in order to obtain an upper bound of the ℋ∞ and the ℋ2 norms of time-delay reset control systems. The results are derived by using an appropriate Lyapunov-Krasovskii functional that leads to delay-dependent LMI (Linear Matrix Inequality) conditions.