Stability analysis of switched systems with time-varying discontinuous delays

A new technique is proposed to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a recent trajectory based technique. The result is applied to a family of linear time-varying systems with time-varying delays. © 2017 American Automatic Control Council (AACC)

Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays *

International audienceA new technique is proposed for the stability analysis of nonlinear switched time-varying systems with time-varying discontinuous delays. It is based on an adaptation of Halanay's inequality to switched systems, combined with a recent trajectory based stability analysis technique. The result is applied to a family of the linear time-varying systems with time-varying delays. In particular, it is shown that this approach can be used for stabilization of LTV systems with time varying delays by a set of properly designed switched controllers