Strongly absolute stability of Lur´e-type discrete-time descriptor systems with sector and slope restricted nonlinearities

This paper deals with strongly absolute stability of Lur´e-type discrete-time descriptor systems. The nonlinearities in the system considered here are both sector and slope restricted. By using Lyapunov stability theory and linear matrix inequality (LMI), we derive LMI based nonstrict sufficient conditions for strongly absolute stability. Furthermore, we reduce nonstrict conditions to strict LMI based algorithms without any conservatism. Finally, a numerical example is given to illustrate the effectiveness of our method.