ON THE ABSOLUTE STABILITY OF IMPRECISE LARGE-SCALE SINGULARLY PERTURBED SYSTEMS

摘要

We study an imprecise large-scale singularly perturbed system of differential equations. By using matrix-valued Lyapunov functions for subsystems, we construct a scalar-valued Lyapunov function that enables us to establish the absolute parametric stability of the original system. We estimate the set of values of the parameters for which the system possesses this property.