An improved summation inequality to discrete-time systems with time-varying delay

Zhang, Chuan-Ke, He, Yong, Jiang, Lin ORCID: 0000-0001-6531-2791 and Wu, Min (2016) An improved summation inequality to discrete-time systems with time-varying delay. AUTOMATICA, 74. pp. 10-15.

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Discrete-time system, Time-varying delay, Summation inequality, Linear matrix inequality
Depositing User:	Symplectic Admin
Date Deposited:	16 Feb 2017 11:47
Last Modified:	19 Jan 2023 07:19
DOI:	10.1016/j.automatica.2016.07.040
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005823

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• An improved summation inequality to discrete-time systems with time-varying delay. (deposited 13 Feb 2017 10:53)
  • An improved summation inequality to discrete-time systems with time-varying delay. (deposited 15 Feb 2017 08:46)
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