Stability criteria of linear neutral systems with distributed delays

Title:

Stability criteria of linear neutral systems with distributed delays

Creator:

Hu, Guang-Da

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:68514534-5c93-43b7-9895-fc8cb3debf84
uuid:68514534-5c93-43b7-9895-fc8cb3debf84

Subject:

neutral systems, distributed delay, and stability criteria

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded half circular region. If there are no characteristic roots on the imaginary axis, the number of unstable characteristic roots can be obtained. The results of this paper extend those in the literature. Numerical examples are given to illustrate the presented results.

Language:

English

Rights:

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

Coverage:

[273]-284

Source:

Kybernetika | 2011 Volume:47 | Number:2

Harvested from:

CDK

Metadata only:

false