A new absolute stability and stabilization conditions for a class of Lurie uncertain time-delay systems

Abstract

In this paper, the new absolute stability and stabilization conditions for a class of Lurie uncertain time-delay systems are proposed. Based on Lyapunov functions combined with linear matrix inequality (LMI) technology, the sufficient delay dependent absolute stability and stabilization conditions are derived for a class of Lurie uncertain time-delay systems with time-delay feedback either in states or nonlinear part through introducing a new state transformation. Finally, the absolute stability and stabilization conditions are illustrated by the detailed examples, and the result shows that there has been a distinct amelioration in conservation.