Strongly absolute stability of Lur´e-type discrete-time descriptor systems: Strict LMI-based popov criterion

This paper considers strongly absolute stability of Lur´e-type discrete-time descriptor systems and proposes a strict LMI-based popov criterion. By constructing a Lur´e-type Lyapunov function, a new popov criterion is established for strongly absolute stability of Lur´e-type discrete-time descriptor systems. It is further shown that the Popov criterion leads to a less conservative robust stability analysis method for a class of uncertain linear discrete-time descriptor systems. Finally, numerical examples are given to illustrate the effectiveness of the obtained results.