Delay-dependent consensus condition for a class of fractional-order linear multi-agent systems with input time-delay. Issue 4 (12th March 2019)

• Record Type: Journal Article
• Authors: Shi, Min; Yu, Yajuan; Xu, Qi
• Is Part Of: International journal of systems science. Volume 50:Issue 4(2019)
• Page Start: 669
• Page End: 678
• Publication Date: 2019-03-12
• Subjects: Consensus -- multi-agent system -- fractional-order linear system -- input time-delay; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1567865
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : The consensus problem of a class of fractional-order linear multi-agent systems with distributed control containing input time-delay is investigated. By adopting the frequency domain analysis and generalised Nyquist criterion for the fractional-order time-delay systems, the delay-dependent consensus condition is obtained. Then, we are interested in finding the maximum time-delay tolerance and give an exact formula for calculating the maximum time-delay to maintain the system is consensusable. As illustrated by the numerical examples, the proposed theoretical results work effectively and accurately.