Absolute stability of Lurie systems with two additive time-varying delays

摘要

In this paper, the problem of absolute stability analysis for Lurie systems with two additive time-varying delays is considered. By constructing a suitable Lyapunov functional and using combined convex technique, new delay-dependent absolute stability criteria are derived to guarantee the absolute stability of the Lurie systems with non-linearity located in an infinite sector and a finite one. The obtained criteria are expressed as a set of linear matrix inequalities, which can be readily tested by using standard numerical software. Numerical examples are given to illustrate the effectiveness of the proposed stability criteria.