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Volume 40, Issue 3
Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays

Yuhao Cong & Shouyan Wu

DOI: 10.4208/jcm.2011-m2018-0241

J. Comp. Math., 40 (2022), pp. 484-498.

Published online: 2022-02

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65L05, 65L07, 65L20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yhcong@shu.edu.cn (Yuhao Cong)

wushouyanforever@163.com (Shouyan Wu)

  • BibTex
  • RIS
  • TXT
@Article{JCM-40-484, author = {Cong , Yuhao and Wu , Shouyan}, title = {Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays}, journal = {Journal of Computational Mathematics}, year = {2022}, volume = {40}, number = {3}, pages = {484--498}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2011-m2018-0241}, url = {http://global-sci.org/intro/article_detail/jcm/20248.html} }
TY - JOUR T1 - Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays AU - Cong , Yuhao AU - Wu , Shouyan JO - Journal of Computational Mathematics VL - 3 SP - 484 EP - 498 PY - 2022 DA - 2022/02 SN - 40 DO - http://doi.org/10.4208/jcm.2011-m2018-0241 UR - https://global-sci.org/intro/article_detail/jcm/20248.html KW - Neutral systems with distributed delays, Linear multistep methods, Delay-dependent stability, Argument principle. AB -

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.

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