To the stability theory of singularly perturbed Lurie systems

A. A. Martyiyuk, V. G. Miladzhanov

Sufficient uniform stability conditions are established for singularly perturbed Lurie system on the basis of Lyapunov’s direct method where matrix function construction is used. The obtained conditions reduce the requirements to dynamical properties of degenerate systems and boundary layer under which uniform asymptotic stability takes place.