An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay

Zhang, Chuan-Ke, He, Yong, Jiang, Lin ORCID: 0000-0001-6531-2791, Wu, Min and Wang, Qing-Guo (2017) An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay. AUTOMATICA, 85. pp. 481-485.

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Official URL: http://dx.doi.org/10.1016/j.automatica.2017.07.056

Abstract

The reciprocally convex combination lemma (RCCL) is an important technique to develop stability criteria for the systems with a time-varying delay. This note develops an extended reciprocally convex matrix inequality, which reduces the estimation gap of the RCCL-based matrix inequality and reduces the number of decision variables of the recently proposed delay-dependent RCCL. A stability criterion of a linear time-delay system is established through the proposed matrix inequality. Finally, a numerical example is given to demonstrate the advantage of the proposed method.

Item Type:	Article
Uncontrolled Keywords:	Time-delay system, Time-varying delay, Extended reciprocally convex matrix inequality, Stability
Depositing User:	Symplectic Admin
Date Deposited:	10 Oct 2017 07:22
Last Modified:	19 Jan 2023 06:53
DOI:	10.1016/j.automatica.2017.07.056
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3009879