{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T18:13:28Z","timestamp":1720116808659},"reference-count":49,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Information Sciences"],"published-print":{"date-parts":[[2024,5]]},"DOI":"10.1016\/j.ins.2024.120396","type":"journal-article","created":{"date-parts":[[2024,3,3]],"date-time":"2024-03-03T15:23:45Z","timestamp":1709479425000},"page":"120396","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Design and comprehensive analysis of improved Proportional-Integral-Retarded protocol for second-order multi-agent systems"],"prefix":"10.1016","volume":"666","author":[{"given":"Xujie","family":"Zhang","sequence":"first","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0001-8032-5662","authenticated-orcid":false,"given":"Qingbin","family":"Gao","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0001-9758-6279","authenticated-orcid":false,"given":"Jiazhi","family":"Cai","sequence":"additional","affiliation":[]},{"given":"Wenfu","family":"Xu","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.ins.2024.120396_b0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2023.119380","article-title":"Output-feedback consensus control for fractional nonlinear multi-agent systems via a distributed dynamic event-triggered observer strategy","volume":"646","author":"Bai","year":"2023","journal-title":"Inf. Sci."},{"issue":"1","key":"10.1016\/j.ins.2024.120396_b0010","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s10846-009-9337-7","article-title":"Multi-agent consensus using both current and outdated states with fixed and undirected interaction","volume":"58","author":"Cao","year":"2010","journal-title":"J. Intell. Robot. Syst."},{"issue":"11","key":"10.1016\/j.ins.2024.120396_b0015","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1080\/00207728708967173","article-title":"New type of controller: the proportional integral minus delay controller","volume":"18","author":"Chen","year":"1987","journal-title":"Int. J. Syst. Sci."},{"key":"10.1016\/j.ins.2024.120396_b0020","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1016\/j.ins.2023.01.080","article-title":"Distributed constrained finite-time consensus algorithm for second-order multi-agent systems","volume":"626","author":"Cong","year":"2023","journal-title":"Inf. Sci."},{"issue":"4","key":"10.1016\/j.ins.2024.120396_b0025","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1109\/TAC.2011.2168992","article-title":"Delay-independent stability test for systems with multiple time-delays","volume":"57","author":"Delice","year":"2011","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"10.1016\/j.ins.2024.120396_b0030","first-page":"88","article-title":"The application of short-time memory devices to compensator design","volume":"73","author":"Ford","year":"1954","journal-title":"Trans. Am. Inst. Electr. Eng. Part 2"},{"issue":"2","key":"10.1016\/j.ins.2024.120396_b0035","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1080\/00207179.2021.2002415","article-title":"Improved frequency sweeping technique and stability analysis of the second-order consensus protocol with distributed delays","volume":"96","author":"Gao","year":"2023","journal-title":"Int. J. Control"},{"issue":"6","key":"10.1016\/j.ins.2024.120396_b0040","doi-asserted-by":"crossref","first-page":"5464","DOI":"10.1109\/TCYB.2020.3032429","article-title":"Distributed model reference adaptive optimization of disturbed multiagent systems with intermittent communications","volume":"52","author":"Guo","year":"2022","journal-title":"IEEE Trans. Cybern."},{"issue":"6","key":"10.1016\/j.ins.2024.120396_b0045","first-page":"2902","article-title":"Lyapunov redesign-based optimal consensus control for multi-agent systems with uncertain dynamics, IEEE trans","volume":"69","author":"Guo","year":"2022","journal-title":"Circuits Syst. II. Exp. Briefs"},{"key":"10.1016\/j.ins.2024.120396_b0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2023.111247","article-title":"A local-minimization-free zero-gradient-sum algorithm for distributed optimization","volume":"157","author":"Guo","year":"2023","journal-title":"Automatica"},{"issue":"2","key":"10.1016\/j.ins.2024.120396_b0055","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/0022-247X(85)90068-X","article-title":"Stability in linear delay equations","volume":"105","author":"Hale","year":"1985","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.ins.2024.120396_b0060","series-title":"Introduction to functional differential equations","author":"Hale","year":"2013"},{"key":"10.1016\/j.ins.2024.120396_b0065","doi-asserted-by":"crossref","first-page":"174449","DOI":"10.1109\/ACCESS.2020.3024566","article-title":"A current sensorless delay-based control scheme for MPPT-boost converters in photovoltaic systems","volume":"8","author":"Hern\u00e1ndez-D\u00edez","year":"2020","journal-title":"IEEE Access"},{"key":"10.1016\/j.ins.2024.120396_b0070","series-title":"Matrix analysis","author":"Horn","year":"2012"},{"key":"10.1016\/j.ins.2024.120396_b0075","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.automatica.2016.09.042","article-title":"Consensus conditions for general second-order multi-agent systems with communication delay","volume":"75","author":"Hou","year":"2017","journal-title":"Automatica"},{"key":"10.1016\/j.ins.2024.120396_b0080","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2019.108776","article-title":"An anticipatory protocol to reach fast consensus in multi-agent systems","volume":"113","author":"Irofti","year":"2020","journal-title":"Automatica"},{"key":"10.1016\/j.ins.2024.120396_b0085","doi-asserted-by":"crossref","unstructured":"S. Kocak, A. Ergenc, Damping of the shimmy behavior in nose landing gear system via PIR controller, in: 2023 European Control Conference (ECC), Bucharest, Romania, 2023, pp. 1-6.","DOI":"10.23919\/ECC57647.2023.10178363"},{"key":"10.1016\/j.ins.2024.120396_b0090","series-title":"Stability of functional differential equations","author":"Kolmanovskii","year":"1986"},{"key":"10.1016\/j.ins.2024.120396_b0095","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2022.110750","article-title":"Intentional delay can benefit consensus of second-order multi-agent systems","volume":"147","author":"Ma","year":"2023","journal-title":"Automatica"},{"key":"10.1016\/j.ins.2024.120396_b0100","series-title":"Elementary classical analysis","author":"Marsden","year":"1993"},{"issue":"5","key":"10.1016\/j.ins.2024.120396_b0105","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1080\/00207170903581603","article-title":"Stability and convergence analysis of multi-agent consensus with information reuse","volume":"83","author":"Meng","year":"2010","journal-title":"Int. J. Control"},{"key":"10.1016\/j.ins.2024.120396_b0110","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0024-3795(94)90486-3","article-title":"Laplacian matrices of graphs: a survey","volume":"197","author":"Merris","year":"1994","journal-title":"Linear Alg. Appl."},{"key":"10.1016\/j.ins.2024.120396_b0115","doi-asserted-by":"crossref","unstructured":"X. Mo, F. Jiang, W. Wang, B. Zhang, Y. Ding, Control of a mechanically compliant joint with proportional-integral-retarded (PIR) controller, in: 11th International Conference Intelligent Robotics and Applications (ICIRA 2018), Newcastle, NSW, Australia, 2018, pp. 379-390.","DOI":"10.1007\/978-3-319-97586-3_34"},{"issue":"36","key":"10.1016\/j.ins.2024.120396_b0120","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.ifacol.2022.11.326","article-title":"Some remarks on the design of robust PIR controllers for step-down DC-DC converters","volume":"55","author":"Moreno-Negrete","year":"2022","journal-title":"IFAC-PapersOnLine"},{"issue":"1","key":"10.1016\/j.ins.2024.120396_b0125","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1080\/00207178208932877","article-title":"On an estimate of the decay rate for stable linear delay systems","volume":"36","author":"Mori","year":"1982","journal-title":"Int. J. Control"},{"key":"10.1016\/j.ins.2024.120396_b0130","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1016\/j.ins.2021.12.054","article-title":"Fixed-time leader-follower quantized output consensus of high-order multi-agent systems over digraph","volume":"587","author":"Ni","year":"2022","journal-title":"Inf. Sci."},{"issue":"5","key":"10.1016\/j.ins.2024.120396_b0135","doi-asserted-by":"crossref","first-page":"802","DOI":"10.1109\/TAC.2004.828326","article-title":"Stabilizing a chain of integrators using multiple delays","volume":"49","author":"Niculescu","year":"2004","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.ins.2024.120396_b0140","series-title":"Modern control engineering","author":"Ogata","year":"2010"},{"issue":"9","key":"10.1016\/j.ins.2024.120396_b0145","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/TAC.2004.834113","article-title":"Consensus problems in networks of agents with switching topology and time-delays","volume":"49","author":"Olfati-Saber","year":"2004","journal-title":"IEEE Trans. Autom. Control"},{"issue":"6","key":"10.1016\/j.ins.2024.120396_b0150","doi-asserted-by":"crossref","first-page":"7451","DOI":"10.1007\/s40747-023-01135-y","article-title":"Hysteresis quantified control for switched reaction-diffusion systems and its application","volume":"9","author":"Peng","year":"2023","journal-title":"Complex Intell. Syst."},{"issue":"1","key":"10.1016\/j.ins.2024.120396_b0155","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/s11071-011-9982-9","article-title":"Implementation of chaotic circuits with a digital time-delay block","volume":"67","author":"Pham","year":"2012","journal-title":"Nonlinear Dyn."},{"issue":"14","key":"10.1016\/j.ins.2024.120396_b0160","doi-asserted-by":"crossref","first-page":"19961","DOI":"10.1002\/er.8120","article-title":"A robust energy processing method for fuel cell systems supplying a time-varying uncertain load","volume":"46","author":"Ramirez","year":"2022","journal-title":"Int. J. Energy Res."},{"issue":"6","key":"10.1016\/j.ins.2024.120396_b0165","doi-asserted-by":"crossref","first-page":"1688","DOI":"10.1109\/TAC.2015.2478130","article-title":"Design of proportional-integral-retarded (PIR) controllers for second-order LTI systems","volume":"61","author":"Ram\u00edrez","year":"2015","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"10.1016\/j.ins.2024.120396_b0170","doi-asserted-by":"crossref","first-page":"1224","DOI":"10.1109\/TCYB.2018.2798163","article-title":"Multiple intentional delays can facilitate fast consensus and noise reduction in a multiagent system","volume":"49","author":"Ram\u00edrez","year":"2019","journal-title":"IEEE Trans. Cybern."},{"issue":"9","key":"10.1016\/j.ins.2024.120396_b0175","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1109\/JRPROC.1957.278530","article-title":"Posicast control of damped oscillatory systems","volume":"45","author":"Smith","year":"1957","journal-title":"Proc. IRE"},{"key":"10.1016\/j.ins.2024.120396_b0180","doi-asserted-by":"crossref","first-page":"15429","DOI":"10.1007\/s00521-023-08361-y","article-title":"Quantized neural adaptive finite-time preassigned performance control for interconnected nonlinear systems","volume":"35","author":"Song","year":"2023","journal-title":"Neural Comput. Appl."},{"key":"10.1016\/j.ins.2024.120396_b0185","doi-asserted-by":"crossref","first-page":"8997","DOI":"10.1007\/s11063-023-11189-1","article-title":"Switching-like event-triggered state estimation for reaction-diffusion neural networks against DoS attacks","volume":"55","author":"Song","year":"2023","journal-title":"Neural Process. Lett."},{"issue":"5","key":"10.1016\/j.ins.2024.120396_b0190","doi-asserted-by":"crossref","first-page":"2063","DOI":"10.1109\/TCYB.2018.2879327","article-title":"Second-order consensus for multiagent systems via intermittent sampled position data control","volume":"50","author":"Su","year":"2020","journal-title":"IEEE Trans. Cybern."},{"issue":"2","key":"10.1016\/j.ins.2024.120396_b0195","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1109\/TAC.1979.1102024","article-title":"Proportional minus delay controller","volume":"24","author":"Suh","year":"1979","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"10.1016\/j.ins.2024.120396_b0200","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1007\/BF01211858","article-title":"Complexity issues in robust stability of linear delay-differential systems","volume":"9","author":"Toker","year":"1996","journal-title":"Math. Control Signal Syst."},{"key":"10.1016\/j.ins.2024.120396_b0205","series-title":"The mathematica guidebook for numerics","author":"Trott","year":"2006"},{"issue":"3","key":"10.1016\/j.ins.2024.120396_b0210","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1049\/iet-cta.2018.5082","article-title":"Tuning of a time-delayed controller for a general class of second-order linear time invariant systems with dead-time","volume":"13","author":"Villafuerte-Segura","year":"2019","journal-title":"IET Control Theory Appl."},{"issue":"1","key":"10.1016\/j.ins.2024.120396_b0215","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1109\/TAC.2008.2008345","article-title":"Mapping based algorithm for large-scale computation of quasi-polynomial zeros","volume":"54","author":"Vyhlidal","year":"2009","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"10.1016\/j.ins.2024.120396_b0220","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1109\/TCYB.2022.3179357","article-title":"Genetic-algorithm-assisted self-scheduled multidelay PIR control: experiments in a car-like vehicle system","volume":"54","author":"Xu","year":"2024","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2024.120396_b0225","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.ins.2023.02.082","article-title":"Fuzzy finite-time consensus control for uncertain nonlinear multi-agent systems with input delay","volume":"632","author":"Yan","year":"2023","journal-title":"Inf. Sci."},{"issue":"10","key":"10.1016\/j.ins.2024.120396_b0230","doi-asserted-by":"crossref","first-page":"2679","DOI":"10.1109\/TCSI.2013.2244357","article-title":"Delay-induced consensus and quasi-consensus in multi-agent dynamical systems","volume":"60","author":"Yu","year":"2013","journal-title":"IEEE Trans. Circuits Syst. I, Reg. Papers"},{"issue":"18","key":"10.1016\/j.ins.2024.120396_b0235","doi-asserted-by":"crossref","first-page":"10139","DOI":"10.1002\/rnc.6354","article-title":"Robust point-to-point iterative learning control for constrained systems: a minimum energy approach","volume":"32","author":"Zhou","year":"2022","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"8","key":"10.1016\/j.ins.2024.120396_b0240","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1016\/j.jprocont.2013.06.001","article-title":"Dimensional analysis approach to dominant three-pole placement in delayed PID control loops","volume":"23","author":"Z\u00edtek","year":"2013","journal-title":"J. Process Control"},{"key":"10.1016\/j.ins.2024.120396_b0245","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2023.119483","article-title":"Consensus robustness of multi-agent systems against heterogeneous asymmetric input saturations and asynchronous time-varying communication delays","volume":"647","author":"Zou","year":"2023","journal-title":"Inf. Sci."}],"container-title":["Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025524003098?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025524003098?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,3,22]],"date-time":"2024-03-22T06:50:49Z","timestamp":1711090249000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0020025524003098"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5]]},"references-count":49,"alternative-id":["S0020025524003098"],"URL":"https:\/\/doi.org\/10.1016\/j.ins.2024.120396","relation":{},"ISSN":["0020-0255"],"issn-type":[{"value":"0020-0255","type":"print"}],"subject":[],"published":{"date-parts":[[2024,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Design and comprehensive analysis of improved Proportional-Integral-Retarded protocol for second-order multi-agent systems","name":"articletitle","label":"Article Title"},{"value":"Information Sciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ins.2024.120396","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2024 Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"120396"}}