Abstract: The concept of passive source is extended to the switched singular systems with multiple time-delays. The problem of robust passive control for a class of switched singular systems with both uncertainties and multiple time-delays is studied， and some of these conditions need to satisfy the hypothesis. First， by means of generalized Lyapunov function and linear matrix inequality， the sufficient conditions are given for the asymptotic stability and strictly passive of uncertain switched singular systems with multiple time-delays. Moreover， the qualified robust passive controller is designed according to the existing conditions， so that the switched singular systems can be asymptotically stable and strictly passive. Finally， numerical examples illustrate the effectiveness of the approaches.

Key words: multiple time-delays, robust passive control, switched singular systems, uncertain