Conditions for convergence of the fundamental matrix of linear time‐invariant time‐delayed singular systems

Abstract

In the introductory part of this paper the so‐called general Bromwich-Wagner′s theorem has been generalized. Throughout the main part of the paper, an attempt has been made to derive conditions for convergence of the fundamental matrix of linear time‐invariant time‐delayed singular systems. The paper ends with a counterexample pointing out the fact that certain results of the theory of linear time‐invariant singular systems are incorrect.