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

Chuan Ke Zhang, Yong He, Lin Jiang, Min Wu, Qing Guo Wang

Research output: Contribution to journalArticlepeer-review

366 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)481-485
Number of pages5
JournalAutomatica
Volume85
DOIs
Publication statusPublished - Nov 2017

Keywords

  • Extended reciprocally convex matrix inequality
  • Stability
  • Time-delay system
  • Time-varying delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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