{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T09:18:12Z","timestamp":1762161492665,"version":"3.41.2"},"reference-count":45,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,10,31]],"date-time":"2019-10-31T00:00:00Z","timestamp":1572480000000},"content-version":"vor","delay-in-days":303,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573095"],"award-info":[{"award-number":["61573095"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2014FM019"],"award-info":[{"award-number":["ZR2014FM019"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>This paper discusses the stability of semi\u2010Markovian jump networked control system containing time\u2010varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event\u2010triggered mechanism. For deriving a less conservative stability criterion, the Bessel\u2013Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov\u2013Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by <jats:italic>N<\/jats:italic> is derived, and the conservativeness will decrease as <jats:italic>N<\/jats:italic> increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.<\/jats:p>","DOI":"10.1155\/2019\/6927528","type":"journal-article","created":{"date-parts":[[2019,10,31]],"date-time":"2019-10-31T23:34:09Z","timestamp":1572564849000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Event\u2010Triggered Stability Analysis of Semi\u2010Markovian Jump Networked Control System with Actuator Faults and Time\u2010Varying Delay via Bessel\u2013Legendre Inequalities"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4623-2152","authenticated-orcid":false,"given":"Hongqian","family":"Lu","sequence":"first","affiliation":[]},{"given":"Chaoqun","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Yue","family":"Hu","sequence":"additional","affiliation":[]},{"given":"Wuneng","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,10,31]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.10.018"},{"key":"e_1_2_10_2_2","first-page":"1","article-title":"Stability analysis of networked control systems with aperiodic sampling and time-varying delay","volume":"47","author":"Chen J.","year":"2016","journal-title":"IEEE Transactions on Cybernetics"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.12.021"},{"key":"e_1_2_10_4_2","doi-asserted-by":"crossref","unstructured":"ZhangJ. PangZ. ZhouY.et al. Active fault tolerant control for networked control systems with actuator fault Proceedings of the Chinese Control Conference July 2016 Dalian China.","DOI":"10.1109\/ChiCC.2016.7554548"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2019.2920967"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2010.10.010"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.05.039"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2015.1018377"},{"key":"e_1_2_10_9_2","doi-asserted-by":"crossref","unstructured":"KhalilA.andWangJ. Robust stabilization of networked control systems using the Markovian jump system approach Proceedings of the UKACC International Conference on Control September 2012 Cardiff UK.","DOI":"10.1109\/CONTROL.2012.6334649"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2015.1118662"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.932"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.10.084"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.0840"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3057"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.2862"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.12.004"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.03.013"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.06.069"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/9.911431"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2006.876385"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.08.025"},{"key":"e_1_2_10_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2014.09.021"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5147565"},{"key":"e_1_2_10_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-015-2002-y"},{"key":"e_1_2_10_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2015.01.004"},{"key":"e_1_2_10_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.03.007"},{"key":"e_1_2_10_27_2","doi-asserted-by":"crossref","unstructured":"SeuretA.andGouaisbautF. Complete quadratic lyapunov functionals using bessel-legendre inequality Proceedings of the European Control Conference June 2014 Linz Austria.","DOI":"10.1109\/ECC.2014.6862453"},{"key":"e_1_2_10_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.09.030"},{"key":"e_1_2_10_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.06.017"},{"key":"e_1_2_10_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.07.056"},{"key":"e_1_2_10_31_2","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2017.2665683"},{"key":"e_1_2_10_32_2","doi-asserted-by":"publisher","DOI":"10.1108\/ijicc-08-2014-0038"},{"key":"e_1_2_10_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.03.042"},{"key":"e_1_2_10_34_2","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2012.2206694"},{"key":"e_1_2_10_35_2","doi-asserted-by":"crossref","unstructured":"GuinaldoM. LehmannD. SanchezJ.et al. Distributed event-triggered control with network delays and packet losses Proceedings of the IEEE Conference on Decision and Control February 2013 Maui HI USA.","DOI":"10.1109\/CDC.2012.6426387"},{"key":"e_1_2_10_36_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.01.041"},{"key":"e_1_2_10_37_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2737542"},{"key":"e_1_2_10_38_2","article-title":"Decentralized event-triggered control for large-scale networked fuzzy systems","volume":"26","author":"Zhong Z. X.","year":"2016","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"e_1_2_10_39_2","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2011.2174666"},{"key":"e_1_2_10_40_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.4447"},{"key":"e_1_2_10_41_2","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2017.2701778"},{"key":"e_1_2_10_42_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.10.014"},{"key":"e_1_2_10_43_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.04.048"},{"key":"e_1_2_10_44_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2017.2696582"},{"key":"e_1_2_10_45_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3273"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/6927528.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/6927528.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2019\/6927528","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T12:27:31Z","timestamp":1723033651000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2019\/6927528"}},"subtitle":[],"editor":[{"given":"Hassan","family":"Zargarzadeh","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":45,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1155\/2019\/6927528"],"URL":"https:\/\/doi.org\/10.1155\/2019\/6927528","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2019,1]]},"assertion":[{"value":"2019-06-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-10-14","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-10-31","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"6927528"}}