Journal
AUTOMATICA
Volume 74, Issue -, Pages 10-15Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.07.040
Keywords
Discrete-time system; Time-varying delay; Summation inequality; Linear matrix inequality
Funding
- National Natural Science Foundation of China [61503351, 51428702, 61573325, 61210011]
- Hubei Provincial Natural Science Foundation of China [2015CFA010]
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The summation inequality plays an important role in developing delay-dependent criteria for discrete time systems with time-varying delay. This note proposes an improved summation inequality to estimate the summation terms appearing in the forward difference of Lyapunov-Krasovskii functional. Compared with the inequality recently developed by the Wirtinger-based summation inequality and the reciprocally convex lemma, the proposed one reduces the estimation gap while requires the same number of decision variables. A relaxed stability criterion of a linear discrete-time system with a time-varying delay is established by using such novel inequality. Two numerical examples are given to demonstrate the advantages of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved,
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