{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T15:59:53Z","timestamp":1777910393710,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"9","license":[{"start":{"date-parts":[[2017,11,1]],"date-time":"2017-11-01T00:00:00Z","timestamp":1509494400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,6]]},"abstract":"<jats:p>This paper investigates the consensus problem for heterogeneous multi-agent systems consisting of third-order and first-order agents. The interaction topology includes both fixed and switching cases. First, by a model transformation, heterogeneous multi-agent systems are converted into equivalent error systems. Then we analyze the consensus problem of the multi-agent systems by analyzing the stability problem of the error systems. For a fixed topology, a sufficient condition for consensus of heterogeneous multi-agent systems is obtained based on algebraic graph theory and linear system theory. For a switching topology, a necessary and sufficient condition for mean-square consensus of multi-agent systems is obtained based on algebraic graph theory and Markovian jump system theory. Finally, we give some simulation examples.<\/jats:p>","DOI":"10.1177\/0142331217737361","type":"journal-article","created":{"date-parts":[[2017,11,1]],"date-time":"2017-11-01T16:21:02Z","timestamp":1509553262000},"page":"2748-2755","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Consensus for discrete-time heterogeneous networked systems consisting of third-order and first-order agents under fixed and switching topologies"],"prefix":"10.1177","volume":"40","author":[{"given":"Huanyu","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Automation, Southeast University, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shumin","family":"Fei","sequence":"additional","affiliation":[{"name":"School of Automation, Southeast University, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,11,1]]},"reference":[{"key":"bibr1-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1007\/b138575"},{"key":"bibr2-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.06.024"},{"key":"bibr3-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1109\/9.618250"},{"key":"bibr4-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1177\/0142331216630365"},{"key":"bibr5-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1177\/0142331215592460"},{"key":"bibr6-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2015.03.009"},{"key":"bibr7-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1109\/ICCA.2016.7505337"},{"key":"bibr8-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3124"},{"key":"bibr9-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2015.01.070"},{"key":"bibr10-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.robot.2014.07.005"},{"key":"bibr11-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.846556"},{"key":"bibr12-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.07.011"},{"key":"bibr13-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.07.012"},{"key":"bibr14-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2014.2336806"},{"key":"bibr15-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2017.01.001"},{"key":"bibr16-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2017.06.001"},{"key":"bibr17-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.11.005"},{"key":"bibr18-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2012.713986"},{"key":"bibr19-0142331217737361","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0033"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331217737361","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331217737361","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331217737361","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:56:27Z","timestamp":1777647387000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331217737361"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,1]]},"references-count":19,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["10.1177\/0142331217737361"],"URL":"https:\/\/doi.org\/10.1177\/0142331217737361","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11,1]]}}}