Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 351, Issue 12, Pages 5386-5398Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2014.09.021
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Funding
- National Research Foundation of Korea (NRF) - Ministry of Education, Science and Technology [2008-0062611]
- 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 linear systems with time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, improved delay-dependent stability criteria for asymptotic stability of the system are proposed for two cases of conditions on time-varying delays with the framework of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. The enhancement of the feasible region of the proposed criteria is shown via three numerical examples by the comparison of maximum delay bounds. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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