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Computation of delay bound for linear neutral systems with interval time-varying discrete delay

journal contribution
posted on 2017-12-06, 00:00 authored by Qing-Long Han, Xiefu Jiang, A Xue, Xin Ma, S Liu
This paper is concerned with the stability for a class of uncertain linear neutral systems. The uncertainty under consideration is of norm-bounded type. The discrete delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying discrete delay are available, and no restriction on the derivative of the time-varying discrete delay is needed, which allows the discrete delay to be a fast time-varying function. Based on an integral inequality, which is introduced in this paper, and Lyapunov-Krasovskii functional approach, some stability criteria, which are formulated in the form of linear matrix inequalities (LMIs), are derived without using model transformation and bounding techniques on the related cross product terms. By the obtained criteria one can compute the allowed delay bound to guarantee the asymptotic stability of the considered systems. A numerical example is given to demonstrate effectiveness of the proposed criteria.

Funding

Category 2 - Other Public Sector Grants Category

History

Volume

13

Issue

c

Start Page

117

End Page

131

Number of Pages

15

eISSN

1918-2538

ISSN

1492-8760

Location

Waterloo, Canada

Publisher

Watam Press

Language

en-aus

Peer Reviewed

  • Yes

Open Access

  • No

External Author Affiliations

Faculty of Business and Informatics; Hangzhou Dianzi University; Institute for Resource Industries and Sustainability (IRIS);

Era Eligible

  • Yes

Journal

Dynamics of continuous, discrete and impulsive systems Series B: applications & algorithms.