International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 8, Pages 463-475
doi:10.1155/S016117120201178X

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.