An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay. (November 2017)

• Record Type: Journal Article
• Authors: Zhang, Chuan-Ke; He, Yong; Jiang, Lin; Wu, Min; Wang, Qing-Guo
• Is Part Of: Automatica. Volume 85(2017)
• Page Start: 481
• Page End: 485
• Publication Date: 2017-11
• Subjects: Time-delay system -- Time-varying delay -- Extended reciprocally convex matrix inequality -- Stability; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.07.056
• Languages: English
• ISSNs: 0005-1098

Abstract

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.