New conditions on absolute stability of uncertain Lur'e systems and the maximum admissible perturbed bound

The robust absolute stability problem for structured uncertain Lur'e systems is considered in this paper by using Popov criterion and extended strictly positive real lemma. The conditions on robust absolute stability for Lur'e systems with structured uncertainties are established in terms of multilinear matrix inequalities. An estimate of the maximum bound of all admissible perturbations is given by a generalized eigenvalue problem. Finally, a numerical example is worked out to illustrate the efficiency of the main results.