{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T05:18:10Z","timestamp":1780377490036,"version":"3.54.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T00:00:00Z","timestamp":1599609600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T00:00:00Z","timestamp":1599609600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s11424-020-9137-5","type":"journal-article","created":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T11:42:31Z","timestamp":1599738151000},"page":"618-631","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Projective Group Consensus of Multi-Agent Systems with Arbitrary Parameter"],"prefix":"10.1007","volume":"34","author":[{"given":"Liangkang","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liuxiao","family":"Guo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yongqing","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,9,9]]},"reference":[{"issue":"8","key":"9137_CR1","doi-asserted-by":"publisher","first-page":"1804","DOI":"10.1109\/TAC.2008.929381","volume":"53","author":"D Lorenzini","year":"2008","unstructured":"Lorenzini D and Tucker T J, The equations and the method of Chabauty-Coleman, IEEE Transactions on Automatic Control, 2008, 53(8): 1804\u20131816.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"4","key":"9137_CR2","doi-asserted-by":"publisher","first-page":"1019","DOI":"10.1007\/s11424-018-7311-9","volume":"32","author":"X D Zhao","year":"2019","unstructured":"Zhao X D, Liu W H, and Yang C J, Coordination control for a class of multi-agent systems under asynchronous awitching, Journal of Systems Science and Complexity, 2019, 32(4): 1019\u20131038.","journal-title":"Journal of Systems Science and Complexity"},{"issue":"3","key":"9137_CR3","doi-asserted-by":"publisher","first-page":"846","DOI":"10.1007\/s11424-018-7177-x","volume":"32","author":"W Zhu","year":"2019","unstructured":"Zhu W, Wang D D, and Zhou Q H, Leader-following consensus of multi-agent systems via adaptive event-based control, Journal of Systems Science and Complexity, 2019, 32(3): 846\u2013856.","journal-title":"Journal of Systems Science and Complexity"},{"issue":"8","key":"9137_CR4","doi-asserted-by":"publisher","first-page":"1318","DOI":"10.1016\/j.automatica.2007.01.004","volume":"43","author":"M Porfiri","year":"2007","unstructured":"Porfiri M, Roberson D G, and Stilwell D J, Tracking and formation control of multiple autonomous agents: A two-level consensus approach, Automatica, 2007, 43(8): 1318\u20131328.","journal-title":"Automatica"},{"issue":"10","key":"9137_CR5","first-page":"1","volume":"62","author":"F Y Wang","year":"2019","unstructured":"Wang F Y, Liu Z X, and Chen Z Q, Leader-following consensus of second-order nonlinear multiagent systems with intermittent position measurements, Science China Information Sciences, 2019, 62(10): 1\u201316.","journal-title":"Science China Information Sciences"},{"key":"9137_CR6","doi-asserted-by":"crossref","unstructured":"Wang F Y, Liu Z X, and Chen Z Q, Leader-following consensus of switched multi-agent systems with general second-order dynamics, Chinese Automation Congress (CAC), Jinan, China, 2017, 743\u2013747.","DOI":"10.1109\/CAC.2017.8242865"},{"issue":"4","key":"9137_CR7","doi-asserted-by":"publisher","first-page":"1483","DOI":"10.1007\/s12555-017-0266-0","volume":"16","author":"F Y Wang","year":"2018","unstructured":"Wang F Y, Liu Z X, and Chen Z Q, A novel leader-following consensus of multi-agent systems with smart leader, International Journal of Control, Automation and Systems, 2018, 16(4): 1483\u20131492.","journal-title":"International Journal of Control, Automation and Systems"},{"issue":"3","key":"9137_CR8","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1109\/TAC.2014.2330428","volume":"60","author":"Y J Han","year":"2015","unstructured":"Han Y J, Lu W L, and Chen T P, Achieving cluster consensus in continuous-time networks of multi-agents with inter-cluster non-identical inputs, IEEE Transactions on Automatic Control, 2015, 60(3): 793\u2013798.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"9137_CR9","doi-asserted-by":"publisher","first-page":"870","DOI":"10.1016\/j.amc.2014.06.069","volume":"243","author":"D M Xie","year":"2014","unstructured":"Xie D M, Liu Q L, and L\u00fc L F, Necessary and sufficient condition for the group consensus of multiagent systems, Appl. Math. Comput., 2014, 243: 870\u2013878.","journal-title":"Appl. Math. Comput."},{"key":"9137_CR10","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/j.automatica.2016.09.042","volume":"75","author":"W Y Hou","year":"2017","unstructured":"Hou W Y, Fu M Y, Zhang H S, et al., Consensus conditions for general second order multiagent systems with communication delay, Automatica, 2017, 75: 293\u2013298.","journal-title":"Automatica"},{"issue":"6","key":"9137_CR11","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1016\/j.sysconle.2010.03.009","volume":"59","author":"J Y Yu","year":"2010","unstructured":"Yu J Y and Wang L, Group consensus in multi-agent systems with switching topologies and communication delays, Systems Control Letters, 2010, 59(6): 340\u2013348.","journal-title":"Systems Control Letters"},{"issue":"3","key":"9137_CR12","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1080\/00207721.2010.517857","volume":"43","author":"Y L Shang","year":"2012","unstructured":"Shang Y L, Finite-time consensus for multi-agent systems with fixed topologies, International Journal of Systems Science, 2012, 43(3): 499\u2013506.","journal-title":"International Journal of Systems Science"},{"issue":"9","key":"9137_CR13","doi-asserted-by":"publisher","first-page":"1983","DOI":"10.1016\/j.automatica.2011.05.014","volume":"47","author":"J H Qin","year":"2011","unstructured":"Qin J H, Zheng W X, and Gao H J, Consensus of multiple second-order vehicles with a time-varying reference signal under directed topology, Automatica, 2011, 47(9): 1983\u20131991.","journal-title":"Automatica"},{"issue":"4","key":"9137_CR14","doi-asserted-by":"publisher","first-page":"935","DOI":"10.1109\/TAC.2012.2224251","volume":"58","author":"C Altafini","year":"2013","unstructured":"Altafini C, Consensus problems on networks with antagonistic interactions, IEEE Transactions on Automatic Control, 2013, 58(4): 935\u2013946.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"9137_CR15","doi-asserted-by":"publisher","first-page":"1964","DOI":"10.1016\/j.neucom.2017.10.050","volume":"275","author":"Z Q Zuo","year":"2018","unstructured":"Zuo Z Q, Ma J J, and Wang Y J, Layered event-triggered control for group consensus with both competition and cooperation interconnections, Neurocomputing, 2018, 275: 1964\u20131972.","journal-title":"Neurocomputing"},{"issue":"9","key":"9137_CR16","doi-asserted-by":"publisher","first-page":"1204","DOI":"10.1109\/TCSII.2017.2777458","volume":"65","author":"G H Wen","year":"2018","unstructured":"Wen G H, Wang H, Yu X H, et al., Bipartite tracking consensus of linear multiagent systems with adynamic leader, IEEE Transactions on Circuits and Systems II: Express Briefs, 2018, 65(9): 1204\u20131208.","journal-title":"IEEE Transactions on Circuits and Systems II: Express Briefs"},{"issue":"3","key":"9137_CR17","doi-asserted-by":"publisher","first-page":"4681","DOI":"10.3182\/20140824-6-ZA-1003.00608","volume":"47","author":"H W Zhang","year":"2014","unstructured":"Zhang H W and Jie C, Bipartite consensus of linear multi-agent systems over signed digraphs: An output feedback control approach, Invent. Math. IFAC Proceedings Volumes, 2014, 47(3): 4681\u20134686.","journal-title":"Invent. Math. IFAC Proceedings Volumes"},{"issue":"12","key":"9137_CR18","doi-asserted-by":"publisher","first-page":"2529","DOI":"10.1002\/rnc.3458","volume":"26","author":"W Hou","year":"2016","unstructured":"Hou W, Fu M Y, and Zhang H, Consensus ability of linear multi-agent systems with time delay, International Journal of Robust and Nonlinear Control, 2016, 26(12): 2529\u20132541.","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"9137_CR19","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.sysconle.2018.04.013","volume":"117","author":"M O Oyedeji","year":"2018","unstructured":"Oyedeji M O and Mahmoud M S, Couple-group consensus conditions for general first-order multiagent systems with communication delays, Systems Control Letters, 2018, 117: 37\u201344.","journal-title":"Systems Control Letters"},{"issue":"6","key":"9137_CR20","doi-asserted-by":"publisher","first-page":"998","DOI":"10.1109\/TAC.2003.812781","volume":"48","author":"A Jadbabaie","year":"2003","unstructured":"Jadbabaie A, Lin J, and Morse A, Coordination of groups of mobile agents using nearest neighbor rules, IEEE Transactions on Automatic Control, 2003, 48(6): 998\u20131001.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"10","key":"9137_CR21","doi-asserted-by":"publisher","first-page":"4802","DOI":"10.1016\/j.jfranklin.2014.08.002","volume":"351","author":"H B Jiang","year":"2014","unstructured":"Jiang H B, Zhang L P, and Guo S G, Cluster anti-consensus in directed networks of multi-agents based on the Q-theory, Journal of the Franklin Institute, 2014, 351(10): 4802\u20134816.","journal-title":"Journal of the Franklin Institute"},{"key":"9137_CR22","first-page":"726","volume":"2012","author":"L P Zhang","year":"2012","unstructured":"Zhang L P and Jiang H B, Impulsive cluster anti-consensus of discrete multiagent linear dynamic systems, Discrete Dynamics in Nature and Society, 2012, 2012: 726\u2013737.","journal-title":"Discrete Dynamics in Nature and Society"},{"key":"9137_CR23","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1016\/j.physa.2006.08.015","volume":"374","author":"J P Hu","year":"2007","unstructured":"Hu J P and Hong Y G, Leader-following coordination of multi-agent systems with coupling time delays, Phys. A, 2007, 374: 853\u2013863.","journal-title":"Phys. A"},{"key":"9137_CR24","doi-asserted-by":"publisher","first-page":"1480","DOI":"10.1109\/TNNLS.2014.2347290","volume":"26","author":"B Zhang","year":"2015","unstructured":"Zhang B, Lan J, and Xu S, Stability analysis of distributed delay neural networks based on relaxed Lyapunov-Krasovskii functionals, IEEE Trans. Neural Netw. Learn Syst., 2015, 26: 1480\u20131492.","journal-title":"IEEE Trans. Neural Netw. Learn Syst."},{"issue":"3","key":"9137_CR25","doi-asserted-by":"publisher","first-page":"733","DOI":"10.1109\/TCSI.2005.859050","volume":"53","author":"J Zhou","year":"2006","unstructured":"Zhou J and Chen T P, Synchronization in general complex delayed dynamical networks, IEEE Tran. Circuits Syst. I, 2006, 53(3): 733\u2013744.","journal-title":"IEEE Tran. Circuits Syst. I"},{"key":"9137_CR26","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1016\/j.physa.2006.08.015","volume":"374","author":"J P Hu","year":"2007","unstructured":"Hu J P and Hong Y G, Leader-following coordination of multi-agent systems with coupling time delays, Physica A, 2007, 374: 853\u2013863.","journal-title":"Physica A"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-020-9137-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11424-020-9137-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-020-9137-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,8]],"date-time":"2021-09-08T23:44:26Z","timestamp":1631144666000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11424-020-9137-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,9]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["9137"],"URL":"https:\/\/doi.org\/10.1007\/s11424-020-9137-5","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,9]]},"assertion":[{"value":"25 April 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 September 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}