Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays

Title:

Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays

Creator:

Hu, Guang-Da

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:85472f95-9a72-464d-808f-0605dbb310fd
uuid:85472f95-9a72-464d-808f-0605dbb310fd
doi:10.14736/kyb-2018-4-0718

Subject:

neutral differential systems with multiple delays, delay-dependent stability, Runge-Kutta method, Lagrange interpolation, and argument principle

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i. e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral differential systems with multiple delays. Based on the argument principle, sufficient conditions for delay-dependent stability of Runge-Kutta methods combined with Lagrange interpolation are presented. Numerical examples are given to illustrate the main results.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false