Gao, Yanping; Wang, Long Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements. (English) Zbl 1222.93009 Int. J. Control 83, No. 3, 552-562 (2010). Summary: This article is concerned with asynchronous consensus problems of continuous-time second-order agents with fixed topology and time-varying delays. It is assumed that each agent obtains the measurements of its states relative to its neighbours only at discrete times and the discrete times of each agent are independent of the others’. It is proven that the asynchronous consensus is equivalent to the global asymptotic stability of a time-varying discrete-time system with delays. Furthermore, a sufficient condition for asynchronous consensus is established in virtue of Lyapunov’s direct method. Simulations are performed to validate the theoretical results. Cited in 21 Documents MSC: 93A14 Decentralized systems 93C57 Sampled-data control/observation systems 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C55 Discrete-time control/observation systems Keywords:multi-agent systems; second-order agents; asynchronous consensus; sampled-data control; switched systems PDFBibTeX XMLCite \textit{Y. Gao} and \textit{L. Wang}, Int. J. Control 83, No. 3, 552--562 (2010; Zbl 1222.93009) Full Text: DOI References: [1] DOI: 10.1109/9.827358 · Zbl 0983.93075 · doi:10.1109/9.827358 [2] DOI: 10.1109/TAC.2008.929387 · Zbl 1367.93359 · doi:10.1109/TAC.2008.929387 [3] DOI: 10.1109/TAC.2008.928332 · Zbl 1367.93427 · doi:10.1109/TAC.2008.928332 [4] DOI: 10.1016/j.automatica.2006.06.015 · Zbl 1261.93058 · doi:10.1016/j.automatica.2006.06.015 [5] DOI: 10.1109/TAC.2008.2007146 · Zbl 1367.90020 · doi:10.1109/TAC.2008.2007146 [6] Gantmacher FR, The Theory of Matrices (1959) [7] DOI: 10.1007/978-1-4613-0163-9 · doi:10.1007/978-1-4613-0163-9 [8] DOI: 10.1109/TAC.2005.858670 · Zbl 1365.94482 · doi:10.1109/TAC.2005.858670 [9] Hayakawa T, Proceedings of the IEEE Conference on Decision and Control pp 4333– [10] DOI: 10.1109/TAC.2003.812781 · Zbl 1364.93514 · doi:10.1109/TAC.2003.812781 [11] DOI: 10.1109/TAC.2007.902752 · Zbl 1366.93503 · doi:10.1109/TAC.2007.902752 [12] DOI: 10.1016/j.automatica.2009.05.002 · Zbl 1175.93078 · doi:10.1016/j.automatica.2009.05.002 [13] DOI: 10.1109/TAC.2004.834113 · Zbl 1365.93301 · doi:10.1109/TAC.2004.834113 [14] DOI: 10.1109/JPROC.2006.887293 · Zbl 1376.68138 · doi:10.1109/JPROC.2006.887293 [15] DOI: 10.1109/TAC.2007.904603 · Zbl 1366.93330 · doi:10.1109/TAC.2007.904603 [16] DOI: 10.1049/iet-cta:20050401 · doi:10.1049/iet-cta:20050401 [17] DOI: 10.1002/rnc.1147 · Zbl 1266.93010 · doi:10.1002/rnc.1147 [18] DOI: 10.1109/TAC.2005.846556 · Zbl 1365.93302 · doi:10.1109/TAC.2005.846556 [19] DOI: 10.1109/MCS.2007.338264 · doi:10.1109/MCS.2007.338264 [20] Ren W, Proceedings of the IEEE Conference on Decision and Control pp 3965– [21] DOI: 10.1016/j.automatica.2008.04.016 · Zbl 1194.49056 · doi:10.1016/j.automatica.2008.04.016 [22] DOI: 10.1103/PhysRevLett.75.1226 · doi:10.1103/PhysRevLett.75.1226 [23] DOI: 10.1109/TAC.2008.929381 · Zbl 1367.93255 · doi:10.1109/TAC.2008.929381 [24] Xiao F, Proceedings of the American Control Conference pp 4388– [25] DOI: 10.1002/rnc.1144 · Zbl 1266.93013 · doi:10.1002/rnc.1144 [26] Zhang H, IEEE Circuits and Systems Magazine 8 pp 67– (2008) · doi:10.1109/MCAS.2008.928446 [27] DOI: 10.1016/j.automatica.2008.11.005 · Zbl 1162.94431 · doi:10.1016/j.automatica.2008.11.005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.