IEEE Transactions on Automatic Control, Vol.45, No.4, 720-725, 2000
Multivariable circle criteria for multiparameter singularly perturbed systems
A direct approach to the Lur'e problem for singularly perturbed systems (SPS) is proposed. In contrast to previous results, the feedback connection between the linear and nonlinear parts of SPS is allowed to depend essentially on both the slow and the fast variables. The Lur'e problem for multiparameter SPS (MSPS) is studied by the same frame work.