Delay-dependent stability of linear multi-step methods for linear neutral systems

Title:

Delay-dependent stability of linear multi-step methods for linear neutral systems

Creator:

Hu, Guang-Da and Shao, Lizhen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d871a4f0-6821-441e-841c-439c7cbf8b8e
uuid:d871a4f0-6821-441e-841c-439c7cbf8b8e
doi:10.14736/kyb-2020-3-0543

Subject:

delay-dependent stability, Lagrange interpolation, argument principle, neutral systems with multiple delays, and linear multi-step method

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we are concerned with numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. Combining with Lagrange interpolation, linear multi-step methods can be applied to the neutral systems. Utilizing the argument principle, a sufficient condition is derived for linear multi-step methods with preserving delay-dependent stability. Numerical examples are given to illustrate the main results.

Language:

English

Rights:

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

Coverage:

543-558

Source:

Kybernetika | 2020 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false