{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T06:36:33Z","timestamp":1716878193927},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2017,8,31]],"date-time":"2017-08-31T00:00:00Z","timestamp":1504137600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1007\/s00521-017-3178-2","type":"journal-article","created":{"date-parts":[[2017,8,31]],"date-time":"2017-08-31T10:52:14Z","timestamp":1504176734000},"page":"2171-2182","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Adaptive consensus tracking of non-square MIMO nonlinear systems with input saturation and input gain matrix under directed graph"],"prefix":"10.1007","volume":"31","author":[{"given":"Hassan","family":"Ghiti Sarand","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bahram","family":"Karimi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,8,31]]},"reference":[{"key":"3178_CR1","doi-asserted-by":"publisher","first-page":"728","DOI":"10.1109\/TAC.2003.820138","volume":"48","author":"H Xu","year":"2003","unstructured":"Xu H, Ioannou PA (2003) Robust adaptive control for a class of MIMO nonlinear systems with guaranteed error bounds. IEEE Trans Automat Control 48:728\u2013742","journal-title":"IEEE Trans Automat Control"},{"key":"3178_CR2","doi-asserted-by":"publisher","first-page":"807","DOI":"10.1109\/72.159070","volume":"3","author":"LX Wang","year":"1992","unstructured":"Wang LX, Mendel JM (1992) Fuzzy basis function, universal approximation, and orthogonal least-squares learning. IEEE Trans Neural Netw 3:807\u2013814","journal-title":"IEEE Trans Neural Netw"},{"key":"3178_CR3","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1109\/TSMCB.2003.811520","volume":"34","author":"CY Lee","year":"2004","unstructured":"Lee CY, Lee JJ (2004) Adaptive control for uncertain nonlinear systems based on multiple neural networks. IEEE Trans Syst Man Cybern Part B 34:325\u2013333","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"key":"3178_CR4","doi-asserted-by":"publisher","first-page":"756","DOI":"10.1016\/j.asoc.2008.10.001","volume":"9","author":"I Kar","year":"2009","unstructured":"Kar I, Behera L (2009) Direct adaptive neural control for affine nonlinear systems. Appl Soft Comput 9:756\u2013764","journal-title":"Appl Soft Comput"},{"key":"3178_CR5","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1080\/00207721.2012.669869","volume":"45","author":"W Zhang","year":"2014","unstructured":"Zhang W, Wang Z, Guo Y (2014) Backstepping-based synchronisation of uncertain networked Lagrangian systems. Int J Syst Sci 45:145\u2013158","journal-title":"Int J Syst Sci"},{"key":"3178_CR6","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1109\/TSMCB.2008.2007810","volume":"39","author":"Z Hou","year":"2009","unstructured":"Hou Z, Cheng L, Tan M (2009) Decentralized robust adaptive control for the multiagent system consensus problem using neural networks. IEEE Trans Syst Man Cybern Part B 39:636\u2013647","journal-title":"IEEE Trans Syst Man Cybern Part B"},{"key":"3178_CR7","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1109\/TNN.2010.2050601","volume":"21","author":"L Cheng","year":"2010","unstructured":"Cheng L, Hou Z, Tan M, Lin Y, Zhang W (2010) Neural-network-based adaptive leader-following control for multiagent systems with uncertainties. IEEE Trans Neural Netw 21:1351\u20131358","journal-title":"IEEE Trans Neural Netw"},{"key":"3178_CR8","doi-asserted-by":"publisher","first-page":"2014","DOI":"10.1016\/j.automatica.2010.08.008","volume":"46","author":"A Das","year":"2010","unstructured":"Das A, Lewis FL (2010) Distributed adaptive control for synchronization of unknown nonlinear networked systems. Automatica 46:2014\u20132021","journal-title":"Automatica"},{"key":"3178_CR9","doi-asserted-by":"publisher","first-page":"1328","DOI":"10.1002\/asjc.427","volume":"14","author":"Y Liu","year":"2012","unstructured":"Liu Y, Jia Y (2012) Adaptive consensus protocol for networks of multiple agents with nonlinear dynamics using neural networks. Asian J Control 14:1328\u20131339","journal-title":"Asian J Control"},{"key":"3178_CR10","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s11071-015-1973-9","volume":"81","author":"J Huang","year":"2015","unstructured":"Huang J, Dou L, Fang H, Chen J, Yang Q (2015) Distributed backstepping-based adaptive fuzzy control of multiple high-order nonlinear dynamics. Nonlinear Dyn 81:63\u201375","journal-title":"Nonlinear Dyn"},{"key":"3178_CR11","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1049\/iet-cta.2011.0011","volume":"6","author":"R Cui","year":"2012","unstructured":"Cui R, Ren B, Ge SS (2012) Synchronized tracking control of multi-agent system with high-order dynamics. IET Control Theory Appl 6:603\u2013614","journal-title":"IET Control Theory Appl"},{"key":"3178_CR12","doi-asserted-by":"publisher","first-page":"1432","DOI":"10.1016\/j.automatica.2012.05.008","volume":"48","author":"H Zhang","year":"2012","unstructured":"Zhang H, Lewis FL (2012) Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Automatica 48:1432\u20131439","journal-title":"Automatica"},{"key":"3178_CR13","doi-asserted-by":"publisher","first-page":"1509","DOI":"10.1002\/rnc.1647","volume":"21","author":"A Das","year":"2011","unstructured":"Das A, Lewis FL (2011) Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Int J Robust Nonlinear Control 21:1509\u20131524","journal-title":"Int J Robust Nonlinear Control"},{"key":"3178_CR14","doi-asserted-by":"publisher","first-page":"1283","DOI":"10.1007\/s11071-012-0533-9","volume":"70","author":"AM Zou","year":"2012","unstructured":"Zou AM, Kumar KD (2012) Neural network-based adaptive output feedback formation control for multi-agent systems. Nonlinear Dyn 70:1283\u20131296","journal-title":"Nonlinear Dyn"},{"key":"3178_CR15","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1002\/rnc.1829","volume":"23","author":"AM Zou","year":"2013","unstructured":"Zou AM, Kumar KD, Hou ZG (2013) Distributed consensus control for multi-agent systems using terminal sliding mode and Chebyshev neural networks. Int J Robust Nonlinear Control 23:334\u2013357","journal-title":"Int J Robust Nonlinear Control"},{"key":"3178_CR16","doi-asserted-by":"publisher","first-page":"1751","DOI":"10.1049\/iet-cta.2014.1319","volume":"9","author":"GX Wen","year":"2015","unstructured":"Wen GX, Chen CLP, Liu YJ, Liu Z (2015) Neural-network-based adaptive leader-following consensus control for second-order non-linear multi-agent systems. IET Control Theory Appl 9:1751\u20138644","journal-title":"IET Control Theory Appl"},{"key":"3178_CR17","doi-asserted-by":"publisher","first-page":"2031","DOI":"10.1080\/00207721.2012.760670","volume":"45","author":"Z Peng","year":"2014","unstructured":"Peng Z, Wang D, Sun G, Wang H (2014) Distributed cooperative stabilisation of continuous-time uncertain nonlinear multi-agent systems. Int J Syst Sci 45:2031\u20132041","journal-title":"Int J Syst Sci"},{"key":"3178_CR18","doi-asserted-by":"publisher","first-page":"2982","DOI":"10.1080\/00207721.2014.886135","volume":"46","author":"W Wang","year":"2015","unstructured":"Wang W, Wang D, Peng ZH (2015) Cooperative fuzzy adaptive output feedback control for synchronisation of nonlinear multi-agent systems under directed graphs. Int J Syst Sci 46:2982\u20132995","journal-title":"Int J Syst Sci"},{"key":"3178_CR19","first-page":"11","volume":"46","author":"B Karimi","year":"2014","unstructured":"Karimi B, Ghiti Sarand H (2014) Adaptive neural network method for consensus tracking of high-order MIMO nonlinear multi-agent systems. Amirkabir Int J Sci Res 46:11\u201321","journal-title":"Amirkabir Int J Sci Res"},{"key":"3178_CR20","doi-asserted-by":"publisher","first-page":"2214","DOI":"10.1080\/00207721.2014.980367","volume":"47","author":"H Ghiti Sarand","year":"2016","unstructured":"Ghiti Sarand H, Karimi B (2016) Synchronization of high-order MIMO nonlinear systems using distributed neuro-adaptive control. Int J Syst Sci 47:2214\u20132224","journal-title":"Int J Syst Sci"},{"key":"3178_CR21","doi-asserted-by":"publisher","first-page":"2124","DOI":"10.1049\/iet-cta.2014.1268","volume":"9","author":"H Chu","year":"2015","unstructured":"Chu H, Yuan J, Zhang W (2015) Observer-based adaptive consensus tracking for linear multi-agent systems with input saturation. IET Control Theory Appl 9:2124\u20132131","journal-title":"IET Control Theory Appl"},{"key":"3178_CR22","doi-asserted-by":"publisher","first-page":"1029","DOI":"10.1177\/0278364913519149","volume":"33","author":"G Antonelli","year":"2014","unstructured":"Antonelli G, Arrichiello F, Caccavale F, Marino A (2014) Decentralized time-varying formation control for multi-robot systems. Int J Robot Res 33:1029\u20131043","journal-title":"Int J Robot Res"},{"key":"3178_CR23","doi-asserted-by":"publisher","first-page":"1434","DOI":"10.1177\/0142331215594874","volume":"38","author":"H Chu","year":"2015","unstructured":"Chu H, Zhang W (2015) Adaptive consensus tracking for linear multi-agent systems with input saturation. Trans Inst Meas Control 38:1434\u20131441","journal-title":"Trans Inst Meas Control"},{"key":"3178_CR24","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/j.sysconle.2012.10.016","volume":"62","author":"Z Menga","year":"2013","unstructured":"Menga Z, Zhao Z, Lin Z (2013) On global leader-following consensus of identical linear dynamic systems subject to actuator saturation. Syst Control Lett 62:132\u2013142","journal-title":"Syst Control Lett"},{"key":"3178_CR25","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.neucom.2015.02.058","volume":"161","author":"G Miao","year":"2015","unstructured":"Miao G, Ma Q (2015) Group consensus of the first-order multi agent systems with nonlinear input constraints. Neurocomputing 161:113\u2013119","journal-title":"Neurocomputing"},{"key":"3178_CR26","doi-asserted-by":"publisher","first-page":"382","DOI":"10.1016\/j.neucom.2015.03.044","volume":"166","author":"H Geng","year":"2015","unstructured":"Geng H, Chen ZQ, Liu ZX, Zhang Q (2015) Consensus of a heterogeneous multi-agent system with input saturation. Neurocomput 166:382\u2013388","journal-title":"Neurocomput"},{"key":"3178_CR27","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1080\/21642583.2014.897658","volume":"2","author":"Q Wanga","year":"2014","unstructured":"Wanga Q, Gao H, Alsaadic F, Hayat T (2014) An overview of consensus problems in constrained multi-agent coordination. Syst Sci Control Eng 2:275\u2013284","journal-title":"Syst Sci Control Eng"},{"key":"3178_CR28","doi-asserted-by":"publisher","first-page":"1327","DOI":"10.1007\/s00521-015-1936-6","volume":"27","author":"G Miao","year":"2016","unstructured":"Miao G, Ma Q, Liu Q (2016) Consensus problems for multi-agent systems with nonlinear algorithms. Neural Comput Appl 27:1327\u20131336","journal-title":"Neural Comput Appl"},{"key":"3178_CR29","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2017.2690322","author":"X Wang","year":"2017","unstructured":"Wang X, Su H, Chen MZQ, Wang X (2017) Observer-based robust coordinated control of multiagent systems with input saturation. IEEE Trans Neural Netw Learn Syst. doi:\n                    10.1109\/TNNLS.2017.2690322","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3178_CR30","doi-asserted-by":"crossref","unstructured":"Kosti\u0107 D, Adinandra S, Caarls J, Wouw NV, Nijmeijer H (2010) Saturated control of time-varying formations and trajectory tracking for unicycle multi-agent systems. In: 49th IEEE conference on decision and control, Hilton Atlanta Hotel, Atlanta, pp 4054\u20134059","DOI":"10.1109\/CDC.2010.5717820"},{"key":"3178_CR31","doi-asserted-by":"crossref","unstructured":"Zhou Y, Huang J, Gao T (2015) Finite-time consensus control of nonlinear mechanical systems with input saturation. In: Proceedings of 34th Chinese control conference, Hangzhou, China, pp 1240\u20131245","DOI":"10.1109\/ChiCC.2015.7259811"},{"key":"3178_CR32","doi-asserted-by":"publisher","first-page":"1381","DOI":"10.1177\/0142331215588806","volume":"38","author":"T Gao","year":"2015","unstructured":"Gao T, Huang J, Zhou Y, Wang QG (2015) Finite-time consensus control of second-order nonlinear systems with input saturation. Trans Inst Meas Control 38:1381\u20131391","journal-title":"Trans Inst Meas Control"},{"key":"3178_CR33","doi-asserted-by":"publisher","first-page":"1520","DOI":"10.1109\/TAC.2004.834113","volume":"49","author":"R Olfati-Saber","year":"2004","unstructured":"Olfati-Saber R, Murray R (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49:1520\u20131533","journal-title":"IEEE Trans Autom Control"},{"key":"3178_CR34","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1109\/TNN.2005.863416","volume":"17","author":"W Gao","year":"2006","unstructured":"Gao W, Selmic RR (2006) Neural network control of a class of nonlinear systems with actuator saturation. IEEE Trans Neural Netw 17:147\u2013156","journal-title":"IEEE Trans Neural Netw"},{"key":"3178_CR35","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.isatra.2012.09.009","volume":"52","author":"M Chen","year":"2013","unstructured":"Chen M, Wu QX, Cui RX (2013) Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems. ISA Trans 52:198\u2013206","journal-title":"ISA Trans"},{"key":"3178_CR36","doi-asserted-by":"publisher","first-page":"1672","DOI":"10.1109\/TAC.2011.2122730","volume":"56","author":"C Wen","year":"2011","unstructured":"Wen C, Zhou J, Liu Z, Su H (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control 56:1672\u20131678","journal-title":"IEEE Trans Autom Control"},{"key":"3178_CR37","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/j.fss.2013.11.006","volume":"248","author":"Y Li","year":"2014","unstructured":"Li Y, Tong S, Li T (2014) Adaptive fuzzy output-feedback control for output constrained nonlinear systems in the presence of input saturation. Fuzzy Set Syst 248:138\u2013155","journal-title":"Fuzzy Set Syst"},{"key":"3178_CR38","doi-asserted-by":"publisher","first-page":"3335","DOI":"10.1016\/j.ins.2010.05.016","volume":"180","author":"B Karimi","year":"2010","unstructured":"Karimi B, Menhaj MB (2010) Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks. Inf Sci 180:3335\u20133347","journal-title":"Inf Sci"},{"key":"3178_CR39","doi-asserted-by":"publisher","first-page":"1213","DOI":"10.1109\/TSMCB.2012.2226577","volume":"43","author":"M Chen","year":"2013","unstructured":"Chen M, Ge SS (2013) Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. IEEE Trans Cybern 43:1213\u20131225","journal-title":"IEEE Trans Cybern"},{"key":"3178_CR40","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1109\/TAC.2005.846556","volume":"50","author":"W Ren","year":"2005","unstructured":"Ren W, Beard R (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50:655\u2013661","journal-title":"IEEE Trans Autom Control"},{"key":"3178_CR41","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1109\/5326.740668","volume":"29","author":"GP Liu","year":"1999","unstructured":"Liu GP, Kadirkamanathan V, Billings SA (1999) Variable neural networks for adaptive control of nonlinear systems. IEEE Trans Syst Man Cybern Part C 29:34\u201343","journal-title":"IEEE Trans Syst Man Cybern Part C"},{"key":"3178_CR42","first-page":"539","volume":"183","author":"H Saberi Najafi","year":"2006","unstructured":"Saberi Najafi H, Shams Solary M (2006) Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices. Appl Math Comput 183:539\u2013550","journal-title":"Appl Math Comput"},{"key":"3178_CR43","doi-asserted-by":"publisher","first-page":"1436","DOI":"10.1109\/TAC.2011.2112477","volume":"56","author":"W Yu","year":"2011","unstructured":"Yu W, Chen G, Cao M (2011) Consensus in directed networks of agents with nonlinear dynamics. IEEE Trans Autom Control 56:1436\u20131441","journal-title":"IEEE Trans Autom Control"},{"key":"3178_CR44","volume-title":"Nonlinear systems","author":"H Khalil","year":"2002","unstructured":"Khalil H (2002) Nonlinear systems. Prentice-Hall, Englewood Cliffs"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3178-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-017-3178-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3178-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T13:20:49Z","timestamp":1564665649000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-017-3178-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,31]]},"references-count":44,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["3178"],"URL":"https:\/\/doi.org\/10.1007\/s00521-017-3178-2","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,8,31]]},"assertion":[{"value":"15 September 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 August 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 August 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"There is not any conflict of interest related to this work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}