Stability analysis of descriptor systems with multiple commensurate time-delays

摘要

A new method is proposed to analyze stability of descriptor systems with multiple commensurate time-delays. In this method, purely imaginary roots of the system are calculated, asymptotic behavior of root path at these roots is studied, and unstable regions of the system in the space of delays are determined. Moreover, the number of roots in each unstable region is calculated. Also necessary and sufficient conditions for tau-stabilizability of these systems are presented. Examples are provided to illustrate the effectiveness and validity of the proposed method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.