Delay-dependent stability for 2-D singular systems with state-varying delay in Roesser model: An LMI approach

This paper investigates the problem of stability for two-dimensional (2-D) singular systems with state-varying delay in Roesser model. By making use of algebraic manipulation, the conditions of acceptability and causality of the 2-D state-varying delayed singular systems are given first. In terms of linear matrix inequality (LMI), a sufficient delay-dependent condition then is derived to guarantee the stability of the 2-D state-varying delayed singular systems. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.