Abstract
This work discusses the problem of static output feedback controller design for a class of switched singular systems under asynchronous switching and subject of time-varying delay and nonlinearity. Based on mode-dependent average dwell time (MDADT) and an appropriate Lyapunov-Krasovskii function with triple sum, the existence of stabilizing switching signals and the static output feedback controllers are derived in terms of linear matrix inequalities to ensure the exponential admissibility of the closed loop system under not only the matching but also the mismatching between the system and the controller modes. Moreover, a numerical example is simulated to verify the merits of the proposed method.