Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays

Authors

  • Yuhao Cong Shanghai Customs College, Shanghai 201204, China
  • Shouyan Wu Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, China

DOI:

https://doi.org/10.4208/jcm.2011-m2018-0241

Keywords:

Neutral systems with distributed delays, Linear multistep methods, Delay-dependent stability, Argument principle.

Abstract

This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results.

Downloads

Published

2022-10-06

Abstract View

  • 44500

Pdf View

  • 2917

Issue

Vol. 40 No. 3 (2022)

Section

Articles

How to Cite

Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays. (2022). Journal of Computational Mathematics, 40(3), 484-498. https://doi.org/10.4208/jcm.2011-m2018-0241