STABILITY RADIUS OF LINEAR DELAY SYSTEMS UNDER FRACTIONAL PARAMETER PERTURBATIONS

  • Pham Huu Anh Ngoc
Keywords: Time delay, stability radius, positive systems, fractional perturbations.

Abstract

In this paper we study robust stability of linear time delay systems under fractional parameter uncertainty. A formula for complex stability radius is derived. We then consider linear positive delay systems and prove that for this class of systems the complex stability radius is equal to the real stability radius which can be computed via a simple formula. An illustrative example is given.

Published
2020-03-25