Delay-dependent robust H∞ filtering for time-delay interval systems

This paper deals with the problem of robust H_∞ filtering for a class of linear continuous-time interval systems with delay dependence. The problem aims at designing a stable linear filtering assuring asymptotic stability and a prescribed H_∞ performance level for the filtering error system. A sufficient condition for the existence of such a filter is developed in terms of linear matrix inequalities. A numerical example demonstrates the validity of the theoretical results.