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A delay decomposition approach to stability of linear neutral systems

conference contribution
posted on 2017-12-06, 00:00 authored by Qing-Long Han
This paper is concerned with stability of linear neutral systems. Firstly, a new approach, a delay decomposition approach, is proposed to deal with the stability issue. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functional. Secondly, based on the delay decomposition approach, some new delay-dependent stability criteria for linear neutral systems are derived. These criteria are much less conservative and include some existing results as their special cases. Numerical examples show that significant improvement using the delay decomposition approach is achieved over some existing method even for coarse delay decomposition.


Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)


Parent Title

Proceedings of the 17th World Congress of the International Federation of Automatic Control (IFAC), 6-11th July, 2008, Seoul, Korea.

Start Page


End Page


Number of Pages


Start Date



Seoul, Korea


Elsevier Ltd

Place of Publication

United Kingdom

Peer Reviewed

  • Yes

Open Access

  • No

External Author Affiliations

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

Era Eligible

  • Yes

Name of Conference

International Federation of Automatic Control. World Congress