Stability and sliding modes for a class of nonlinear time delay systems

Title:

Stability and sliding modes for a class of nonlinear time delay systems

Creator:

Răsvan, Vladimir

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b573ecc9-16dd-4f46-9e22-b7ca6378aabd
uuid:b573ecc9-16dd-4f46-9e22-b7ca6378aabd
doi:10.21136/MB.2011.141578

Subject:

time lag, extended nonlinearity, and absolute stability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The following time delay system x˙ = Ax(t) +∑r 1 bq∗ i x(t − τi) − bϕ(c ∗ x(t)) is considered, where ϕ: ℝ → ℝ may have discontinuities, in particular at the origin. The solution is defined using the ''redefined nonlinearity'' concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.

Language:

English

Rights:

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

Coverage:

155-164

Source:

Mathematica bohemica | 2011 Volume:136 | Number:2

Harvested from:

CDK

Metadata only:

false