{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T15:29:01Z","timestamp":1772119741027,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,2,28]],"date-time":"2024-02-28T00:00:00Z","timestamp":1709078400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,2,28]],"date-time":"2024-02-28T00:00:00Z","timestamp":1709078400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    This paper is focused on the consensus problem of multi-agent systems via uncertain pinning control under switching topologies. The stochastic disturbances and randomly occurring nonlinearities are proposed to describe more realistic systems. The communication topology is modeled by a directed graph and it is divided into two cases, the consensus problem is discussed in these two cases. In addition, there exist some uncertain pinning connections between the followers and leader due to switching topologies, the distributed control protocol is designed to satisfy the follower asymptotically converge to the leader. By constructing suitable multiple Lyapunov functions and utilizing tools of\n                    <jats:italic>M<\/jats:italic>\n                    -matrix theory, some sufficient consensus criteria are deduced to reach this goal. Finally, two examples are given to verify the correctness of the proposed method.\n                  <\/jats:p>","DOI":"10.1007\/s11063-024-11505-3","type":"journal-article","created":{"date-parts":[[2024,2,28]],"date-time":"2024-02-28T01:02:21Z","timestamp":1709082141000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies"],"prefix":"10.1007","volume":"56","author":[{"given":"Xin","family":"Sui","sequence":"first","affiliation":[]},{"given":"Yongqing","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Fei","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,2,28]]},"reference":[{"issue":"1","key":"11505_CR1","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1109\/TIT.2017.2756959","volume":"64","author":"S Li","year":"2018","unstructured":"Li S, Maddah-Ali MA, Yu Q, Avestimehr AS (2018) A fundamental tradeoff between computation and communication in distributed computing. IEEE Transact Inf Theor 64(1):109\u2013128","journal-title":"IEEE Transact Inf Theor"},{"issue":"1","key":"11505_CR2","doi-asserted-by":"publisher","first-page":"101402","DOI":"10.1016\/j.aei.2021.101402","volume":"50","author":"DB Xue","year":"2021","unstructured":"Xue DB, Hsu LT, Wu CL, Lee CH, Kam KH (2021) Cooperative surveillance systems and digital-technology enabler for a real-time standard terminal arrival schedule displacement. Adv Eng Inf 50(1):101402","journal-title":"Adv Eng Inf"},{"issue":"3","key":"11505_CR3","doi-asserted-by":"publisher","first-page":"2530","DOI":"10.1109\/TAES.2022.3215946","volume":"59","author":"Y Zhou","year":"2023","unstructured":"Zhou Y, Ling KV, Ding F, Hu Y (2023) Online network-based identification and its application in satellite attitude control systems. IEEE Transact Aerosp Electron Syst 59(3):2530\u20132543","journal-title":"IEEE Transact Aerosp Electron Syst"},{"issue":"1","key":"11505_CR4","doi-asserted-by":"publisher","first-page":"2234","DOI":"10.1038\/s41598-023-28087-0","volume":"13","author":"Y Fang","year":"2023","unstructured":"Fang Y, Yao Y, Zhu F, Chen K (2023) Piecewise-potential-field-based path planning method for fixed-wing UAV formation. Sci Rep 13(1):2234","journal-title":"Sci Rep"},{"issue":"12","key":"11505_CR5","first-page":"4874","volume":"69","author":"ZY Ming","year":"2022","unstructured":"Ming ZY, Zhang HU, Li QC, Tong X (2022) Mixed H2\/H\u00a1 control for nonlinear stochastic systems with cooperative and non-cooperative differential game. IEEE Transact Circ Syst II Expr Br 69(12):4874\u20134878","journal-title":"IEEE Transact Circ Syst II Expr Br"},{"issue":"4","key":"11505_CR6","doi-asserted-by":"publisher","first-page":"4203","DOI":"10.1109\/TITS.2022.3229386","volume":"24","author":"R Fu","year":"2023","unstructured":"Fu R, Quan Q, Li MX, Cai KY (2023) Practical distributed control for cooperative multi-copters in structured free flight concepts. IEEE Transact Intell Transp Syst 24(4):4203\u20134216","journal-title":"IEEE Transact Intell Transp Syst"},{"issue":"9","key":"11505_CR7","doi-asserted-by":"publisher","first-page":"3670","DOI":"10.1016\/j.jfranklin.2015.03.009","volume":"352","author":"K Liu","year":"2015","unstructured":"Liu K, Ji Z, Xie G, Wang L (2015) Consensus for heterogeneous multi-agent systems under fixed and switching topologies. J Frankl Inst 352(9):3670\u20133683","journal-title":"J Frankl Inst"},{"issue":"1","key":"11505_CR8","doi-asserted-by":"publisher","first-page":"1625","DOI":"10.1016\/j.physa.2017.11.086","volume":"492","author":"X Sui","year":"2018","unstructured":"Sui X, Yang Y, Xu X, Zhang S, Zhang L (2018) The sampled-data consensus of multi-agent systems with probabilistic time-varying delays and packet losses. Physica A Stat Mech Appl 492(1):1625\u20131641","journal-title":"Physica A Stat Mech Appl"},{"issue":"1","key":"11505_CR9","first-page":"1","volume":"28","author":"X Zhou","year":"2023","unstructured":"Zhou X, Huang CY, Li P, Ma ZJ, Cao JD (2023) Leader-following identical consensus for Markov jump nonlinear multi-agent systems subjected to attacks with impulse. Nonlinear Anal Model Contr 28(1):1\u201325","journal-title":"Nonlinear Anal Model Contr"},{"issue":"2","key":"11505_CR10","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1109\/JAS.2021.1003838","volume":"8","author":"Q Wei","year":"2021","unstructured":"Wei Q, Wang X, Zhong X, Wu N (2021) Consensus control of leader-following multi-agent systems in directed topology with heterogeneous disturbances. IEEE\/CAA J Autom Sin 8(2):423\u2013431","journal-title":"IEEE\/CAA J Autom Sin"},{"issue":"4","key":"11505_CR11","doi-asserted-by":"publisher","first-page":"1110","DOI":"10.1109\/TCYB.2017.2771560","volume":"48","author":"L Ding","year":"2018","unstructured":"Ding L, Han QL, Ge X, Zhang XM (2018) An overview of recent advances in event-triggered consensus of multi-agent systems. IEEE Transact Cybern 48(4):1110\u20131123","journal-title":"IEEE Transact Cybern"},{"issue":"1","key":"11505_CR12","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1080\/0267257X.2013.811281","volume":"30","author":"NJ Ashill","year":"2014","unstructured":"Ashill NJ, Jobber D (2014) The effects of the external environment on marketing decision-maker uncertainty. J Market Manag 30(1):268\u2013294","journal-title":"J Market Manag"},{"issue":"1","key":"11505_CR13","doi-asserted-by":"publisher","first-page":"2498","DOI":"10.1038\/s41598-018-20498-8","volume":"8","author":"DA Ziegler","year":"2018","unstructured":"Ziegler DA, Janowich JR, Gazzaley A (2018) Differential impact of interference on internally and externally directed attention. Sci Rep 8(1):2498","journal-title":"Sci Rep"},{"issue":"1","key":"11505_CR14","doi-asserted-by":"publisher","first-page":"11729","DOI":"10.1038\/s41598-017-11765-1","volume":"7","author":"A Moussawi","year":"2017","unstructured":"Moussawi A, Derzsy N, Lin X, Szymanski BK, Korniss G (2017) Limits of predictability of cascading overload failures in spatially-embedded networks with distributed flows. Sci Rep 7(1):11729","journal-title":"Sci Rep"},{"key":"11505_CR15","doi-asserted-by":"publisher","first-page":"884","DOI":"10.1016\/j.neucom.2014.07.047","volume":"149","author":"M Hu","year":"2015","unstructured":"Hu M, Guo L, Hu A, Yang Y (2015) Leader-following consensus of linear multi-agent systems with randomly occurring nonlinearities and uncertainties and stochastic disturbances. Neurocomputing 149:884\u2013890","journal-title":"Neurocomputing"},{"issue":"1","key":"11505_CR16","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/j.neucom.2018.10.025","volume":"329","author":"ZG Wang","year":"2019","unstructured":"Wang ZG, Chen DY, Du JH (2019) Distributed variance-constrained robust filtering with randomly occurring nonlinearities and missing measurements over sensor networks. Neurocomputing 329(1):397\u2013406","journal-title":"Neurocomputing"},{"issue":"22","key":"11505_CR17","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1016\/j.neucom.2015.04.107","volume":"174","author":"J Zhang","year":"2016","unstructured":"Zhang J, Peng C, Du DJ, Zheng M (2016) Adaptive event-triggered communication scheme for networked control systems with randomly occurring nonlinearities and uncertainties. Neurocomputing 174(22):475\u2013482","journal-title":"Neurocomputing"},{"key":"11505_CR18","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1016\/j.neucom.2013.08.019","volume":"128","author":"J Duan","year":"2014","unstructured":"Duan J, Hu M, Yang Y, Guo L (2014) A delay-partitioning projection approach to stability analysis of stochastic Markovian jump neural networks with randomly occurred nonlinearities. Neurocomputing 128:459\u2013465","journal-title":"Neurocomputing"},{"issue":"1","key":"11505_CR19","doi-asserted-by":"publisher","first-page":"492","DOI":"10.1016\/j.jfranklin.2018.11.003","volume":"356","author":"Y Wu","year":"2019","unstructured":"Wu Y, Fu S, Li W (2019) Exponential synchronization for coupled complex networks with time-varying delays and stochastic perturbations via impulsive control. J Frankl Inst 356(1):492\u2013513","journal-title":"J Frankl Inst"},{"issue":"1","key":"11505_CR20","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1007\/s00034-019-01167-1","volume":"39","author":"Y Wang","year":"2020","unstructured":"Wang Y, Tong D, Chen Q, Zhou W (2020) Exponential synchronization of chaotic systems with stochastic perturbations via quantized feedback control. Circ Syst Signal Process 39(1):474\u2013491","journal-title":"Circ Syst Signal Process"},{"issue":"8","key":"11505_CR21","doi-asserted-by":"publisher","first-page":"1105","DOI":"10.1049\/iet-cta.2018.6202","volume":"13","author":"Q Liu","year":"2019","unstructured":"Liu Q, Zhou T, Guo S, Wang Z, Wang D, Wang W (2019) Distributed containment control of multi-agent systems under asynchronous switching and stochastic disturbances. IET Contr Theory Appl 13(8):1105\u20131112","journal-title":"IET Contr Theory Appl"},{"issue":"16","key":"11505_CR22","doi-asserted-by":"publisher","first-page":"4358","DOI":"10.1177\/0142331217749696","volume":"40","author":"Z Yan","year":"2018","unstructured":"Yan Z, Sang C, Fang M, Zhou J (2018) Energy-to-peak consensus for multi-agent systems with stochastic disturbances and Markovian switching topologies. Transact Inst Meas Contr 40(16):4358\u20134368","journal-title":"Transact Inst Meas Contr"},{"issue":"1","key":"11505_CR23","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2022.128138","volume":"606","author":"L Meng","year":"2022","unstructured":"Meng L, Bao HB (2022) Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control. Physica A Stat Mech Appl 606(1):128138","journal-title":"Physica A Stat Mech Appl"},{"issue":"1","key":"11505_CR24","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1109\/TSMC.2022.3166779","volume":"53","author":"JQ Chang","year":"2023","unstructured":"Chang JQ, Shi HJ, Zhu S, Zhao DH, Sun YZ (2023) Time cost for consensus of stochastic multi-agent systems with pinning control. IEEE Transact Syst Man Cybern Syst 53(1):94\u2013104","journal-title":"IEEE Transact Syst Man Cybern Syst"},{"issue":"4","key":"11505_CR25","doi-asserted-by":"publisher","first-page":"2150","DOI":"10.1109\/TNSE.2022.3155405","volume":"9","author":"J Cai","year":"2022","unstructured":"Cai J, Feng J, Wang J, Zhao Y (2022) Tracking consensus of multi-agent systems under switching topologies via novel SMC: an event-triggered approach. IEEE Transact Netw Sci Eng 9(4):2150\u20132163","journal-title":"IEEE Transact Netw Sci Eng"},{"issue":"1","key":"11505_CR26","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1016\/j.jfranklin.2018.11.006","volume":"356","author":"YZ Hua","year":"2019","unstructured":"Hua YZ, Dong XW, Wang JB, Li QD, Ren Z (2019) Time-varying output formation tracking of heterogeneous linear multi-agent systems with multiple leaders and switching topologies. J Frankl Inst 356(1):539\u2013560","journal-title":"J Frankl Inst"},{"issue":"3","key":"11505_CR27","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/j.sysconle.2010.01.006","volume":"59","author":"W Ni","year":"2010","unstructured":"Ni W, Cheng D (2010) Leader-following consensus of multi-agent systems under fixed and switching topologies. Syst Contr Lett 59(3):209\u2013217","journal-title":"Syst Contr Lett"},{"key":"11505_CR28","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817","volume-title":"Matrix Anal","author":"R Horn","year":"1985","unstructured":"Horn R, Johnson C (1985) Matrix Anal. Cambridge University Press, Cambridge"},{"issue":"3","key":"11505_CR29","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1109\/TNNLS.2016.2636163","volume":"29","author":"R Lu","year":"2016","unstructured":"Lu R, Shi P, Su H, Wu ZG, Lu J (2016) Synchronization of general chaotic neural networks with nonuniform sampling and packet missing: a switched system approach. IEEE Transact Neural Netw Learn Syst 29(3):523\u2013533","journal-title":"IEEE Transact Neural Netw Learn Syst"},{"issue":"5","key":"11505_CR30","first-page":"55","volume":"50","author":"W Ren","year":"2005","unstructured":"Ren W, Beard R (2005) Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Transact Autom Contr 50(5):55\u2013661","journal-title":"IEEE Transact Autom Contr"},{"key":"11505_CR31","volume-title":"Switching in systems and control","author":"D Liberzon","year":"2012","unstructured":"Liberzon D (2012) Switching in systems and control. Springer Science and Business Media, New York"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-024-11505-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11063-024-11505-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-024-11505-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,16]],"date-time":"2024-05-16T16:27:46Z","timestamp":1715876866000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11063-024-11505-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,28]]},"references-count":31,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024,4]]}},"alternative-id":["11505"],"URL":"https:\/\/doi.org\/10.1007\/s11063-024-11505-3","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-3357716\/v1","asserted-by":"object"}]},"ISSN":["1573-773X"],"issn-type":[{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2,28]]},"assertion":[{"value":"16 December 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 February 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"75"}}