Input-output Approach to Delay-dependent Robust Stability of Singular Systems with Parameter Uncertainty

This paper is concerned with the problem of robust stability for both continuous and discrete singular delay systems by applying input-output approach other than traditional Lyapunov’s second method. First, based on the small gain theorem, the notion of input-output stability is developed. Then delay-dependent robust stability criteria in terms of strict linear matrix inequality (LMI) are derived so that the singular delay systems are regular, impulse free or casual as well as input-output stable (also asymptotically stable) for all admissible norm-bounded uncertainties. Finally, two numerical examples are provided to verify the effectiveness of the new method.