Pub Date : 2026-02-09DOI: 10.1016/j.amc.2026.129986
Wuquan Li, Yanzhu Jiang, Meiqiao Wang, Hui Wang
This paper studies the distributed tracking for the nonlinear multi-agent systems perturbed by second-order moment processes. What makes the case here unique from the prior results is that on the one hand, the system is more practical than those with white noise since it is more in line with practical engineering applications, and on the other hand, the system has inherently nonlinear distinguishing from those with second-order moment processes. In this paper, a distributed tracking controller is designed by employing the algebraic graph theorem and the distributed backstepping method, in which, extensive computational skills are taken to offset the difficulties from the system’s high-order. Furthermore, by using stochastic control theory, the tracking errors can be adjusted to an arbitrarily small value while all the states of the closed-loop system composed by the multi-agent systems are bounded in probability. At last, a simulation example with three agents demonstrates the effectiveness of the distributed tracking controller.
{"title":"Distributed tracking of high-order nonlinear multi-agent systems perturbed by second-order moment processes","authors":"Wuquan Li, Yanzhu Jiang, Meiqiao Wang, Hui Wang","doi":"10.1016/j.amc.2026.129986","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129986","url":null,"abstract":"This paper studies the distributed tracking for the nonlinear multi-agent systems perturbed by second-order moment processes. What makes the case here unique from the prior results is that on the one hand, the system is more practical than those with white noise since it is more in line with practical engineering applications, and on the other hand, the system has inherently nonlinear distinguishing from those with second-order moment processes. In this paper, a distributed tracking controller is designed by employing the algebraic graph theorem and the distributed backstepping method, in which, extensive computational skills are taken to offset the difficulties from the system’s high-order. Furthermore, by using stochastic control theory, the tracking errors can be adjusted to an arbitrarily small value while all the states of the closed-loop system composed by the multi-agent systems are bounded in probability. At last, a simulation example with three agents demonstrates the effectiveness of the distributed tracking controller.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"69 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146146751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-07DOI: 10.1016/j.amc.2026.129998
Kruti Vayeda, Shivam Bajpeyi
{"title":"Multivariate max-min sampling operators: Theory and applications in image processing","authors":"Kruti Vayeda, Shivam Bajpeyi","doi":"10.1016/j.amc.2026.129998","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129998","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"307 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.amc.2026.130009
Ruijie Yin, Zhaojing Wu, Likang Feng
{"title":"Nested saturation control of Mecanum-wheeled mobile robot under stochastic disturbances and input constraints","authors":"Ruijie Yin, Zhaojing Wu, Likang Feng","doi":"10.1016/j.amc.2026.130009","DOIUrl":"https://doi.org/10.1016/j.amc.2026.130009","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"162 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.amc.2026.129996
Souad Mohaoui, Andrii Dmytryshyn
{"title":"Tucker decomposition with a temporal regularization for gap recovery in 3D motion capture data","authors":"Souad Mohaoui, Andrii Dmytryshyn","doi":"10.1016/j.amc.2026.129996","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129996","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"37 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.amc.2026.130008
Yinxin Chang, Xiaojuan Cheng, Yalun Wu, Peng Wu, Gang Li
{"title":"Coevolution modeling for network public opinion with bidirectional feedback mechanism","authors":"Yinxin Chang, Xiaojuan Cheng, Yalun Wu, Peng Wu, Gang Li","doi":"10.1016/j.amc.2026.130008","DOIUrl":"https://doi.org/10.1016/j.amc.2026.130008","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"307 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.amc.2026.130007
Gabriel Rondón, Nasrin Sadri
{"title":"Global dynamics of generalized Duffing oscillators with global centers","authors":"Gabriel Rondón, Nasrin Sadri","doi":"10.1016/j.amc.2026.130007","DOIUrl":"https://doi.org/10.1016/j.amc.2026.130007","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"46 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.amc.2026.129991
Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
{"title":"On a weighted Chaikin-type subdivision scheme for non-smooth data","authors":"Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez","doi":"10.1016/j.amc.2026.129991","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129991","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"89 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.amc.2026.129993
Huiying Cao, Dengxiu Yu, C. L. Philip Chen
{"title":"Spatiotemporal contagion dynamics driven by human mobility in multilayer activity-driven networks","authors":"Huiying Cao, Dengxiu Yu, C. L. Philip Chen","doi":"10.1016/j.amc.2026.129993","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129993","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"92 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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