4.7 Article

New delay-partitioning approaches to stability criteria for uncertain neutral systems with time-varying delays

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2012.08.013

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Funding

  1. Basic Science Research Program through the National Research Foundation of Korea (NRF)
  2. Ministry of Education, Science and Technology [2012-0000479]
  3. Korea Healthcare Technology R & D Project, Ministry of Health & Welfare, Republic of Korea [A100054]

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In this paper, the problem of stability analysis for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By use of new augmented Lyapunov functional and delay-partitioning techniques, delay-dependent stability criteria to guarantee the asymptotic stability are established in terms of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. Four numerical examples are given to show the superiority of the proposed methods. (c) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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