{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,26]],"date-time":"2026-05-26T23:07:36Z","timestamp":1779836856918,"version":"3.53.1"},"reference-count":52,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100015256","name":"Beijing Wuzi University","doi-asserted-by":"publisher","award":["BWUISS16"],"award-info":[{"award-number":["BWUISS16"]}],"id":[{"id":"10.13039\/501100015256","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2021YFB3302501"],"award-info":[{"award-number":["2021YFB3302501"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["DUT24LK006"],"award-info":[{"award-number":["DUT24LK006"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["DUT21LAB301"],"award-info":[{"award-number":["DUT21LAB301"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["DUT22LAB305"],"award-info":[{"award-number":["DUT22LAB305"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12102077"],"award-info":[{"award-number":["12102077"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U2241263"],"award-info":[{"award-number":["U2241263"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12161076"],"award-info":[{"award-number":["12161076"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013804","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100013804","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.cnsns.2026.109982","type":"journal-article","created":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T15:44:28Z","timestamp":1774885468000},"page":"109982","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Distributionally robust identification problem under uncertain experimental data and its application to antibiotic treatment of infectious diseases"],"prefix":"10.1016","volume":"160","author":[{"given":"Min","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shaoxing","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kok Lay","family":"Teo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qian","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lei","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinwei","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.109982_bib0001","series-title":"A min-max solution of an inventory problem","author":"Scarf","year":"1957"},{"key":"10.1016\/j.cnsns.2026.109982_bib0002","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1287\/opre.1090.0795","article-title":"Distributionally robust optimization and its tractable approximations","volume":"58","author":"Goh","year":"2010","journal-title":"Oper Res"},{"key":"10.1016\/j.cnsns.2026.109982_bib0003","series-title":"A Wasserstein based two-stage distributionally robust optimization model for optimal operation of CCHP micro-grid under uncertainties","first-page":"119","author":"Wang","year":"2020"},{"key":"10.1016\/j.cnsns.2026.109982_bib0004","series-title":"Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system. Communications in nonlinear science and numerical simulation","author":"Khan","year":"2025"},{"key":"10.1016\/j.cnsns.2026.109982_bib0005","series-title":"Multistage distributionally robust mixed-integer programming with decision-dependent moment-based ambiguity sets. Mathematical programming","volume":"vol. 196","author":"Yu","year":"2022"},{"key":"10.1016\/j.cnsns.2026.109982_bib0006","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/s10107-011-0494-7","article-title":"Distributionally robust joint chance constraints with second-order moment information","volume":"137","author":"Zymler","year":"2013","journal-title":"Math Program"},{"key":"10.1016\/j.cnsns.2026.109982_bib0007","series-title":"On distributionally robust chance constrained programs with Wasserstein distance. Mathematical programming","author":"Xie","year":"2021"},{"key":"10.1016\/j.cnsns.2026.109982_bib0008","first-page":"553","article-title":"Sparse optimal control of cyber-physical systems via pqa approach","volume":"21","author":"Yuan","year":"2025","journal-title":"Pac J Optim"},{"key":"10.1016\/j.cnsns.2026.109982_bib0009","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1287\/opre.1060.0353","article-title":"Robust mean-covariance solutions for stochastic optimization","volume":"55","author":"Popescu","year":"2007","journal-title":"Oper Res"},{"key":"10.1016\/j.cnsns.2026.109982_bib0010","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1287\/opre.1090.0741","article-title":"Distributionally robust optimization under moment uncertainty with application to data-driven problems","volume":"58","author":"Delage","year":"2010","journal-title":"Oper Res"},{"key":"10.1016\/j.cnsns.2026.109982_bib0011","article-title":"Globalized distributionally robust optimization problems under the moment-based framework","volume":"73","author":"Ding","year":"2024","journal-title":"J Math Program Oper Res"},{"key":"10.1016\/j.cnsns.2026.109982_bib0012","series-title":"A distributionally robust optimization-based risk-limiting dispatch in power system under moment uncertainty","first-page":"27","author":"Tong","year":"2017"},{"key":"10.1016\/j.cnsns.2026.109982_bib0013","doi-asserted-by":"crossref","first-page":"3460","DOI":"10.1109\/TII.2019.2938444","article-title":"Two-stage distributionally robust optimization for energy hub systems","volume":"16","author":"Zhao","year":"2020","journal-title":"IEEE Trans Ind Inf"},{"key":"10.1016\/j.cnsns.2026.109982_bib0014","doi-asserted-by":"crossref","first-page":"1690","DOI":"10.1137\/19M1290115","article-title":"Efficient algorithms for distributionally robust stochastic optimization with discrete scenario support","volume":"31","author":"Zhang","year":"2021","journal-title":"SIAM J Optim"},{"key":"10.1016\/j.cnsns.2026.109982_bib0015","series-title":"Default clearing and ex-ante contagion in financial systems with a two-layer network structure. Communications in nonlinear science and numerical simulation","author":"Ding","year":"2025"},{"key":"10.1016\/j.cnsns.2026.109982_bib0016","doi-asserted-by":"crossref","first-page":"6382","DOI":"10.1287\/mnsc.2021.4155","article-title":"Distributionally robust mean-variance portfolio selection with Wasserstein distances","volume":"68","author":"Blanchet","year":"2021","journal-title":"Manage Sci"},{"key":"10.1016\/j.cnsns.2026.109982_bib0017","doi-asserted-by":"crossref","first-page":"3174","DOI":"10.1109\/ACCESS.2020.3047967","article-title":"A new data-driven distributionally robust portfolio optimization method based on Wasserstein ambiguity set","volume":"9","author":"Du","year":"2021","journal-title":"IEEE Access"},{"key":"10.1016\/j.cnsns.2026.109982_bib0018","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/j.orl.2021.01.012","article-title":"Energy and reserve dispatch with distributionally robust joint chance constraints","volume":"49","author":"Ordoudis","year":"2021","journal-title":"Oper Res Lett"},{"key":"10.1016\/j.cnsns.2026.109982_bib0019","series-title":"Distributed robust scheduling optimization for energy system of steel industry considering prediction uncertainties","author":"Wang","year":"2024"},{"key":"10.1016\/j.cnsns.2026.109982_bib0020","series-title":"Distributionally robust optimal control for batch nonlinear switched system under moment uncertainty of parameter using Koopman operator","author":"Yuan","year":"2025"},{"key":"10.1016\/j.cnsns.2026.109982_bib0021","doi-asserted-by":"crossref","unstructured":"Yuan J., Liu Z., He X., Zhang S., Wang L., Gong Z., Xie J., Goa K., et al. Robust dynamic optimization for batch fermentation nonlinear fractional switched time-delay dynamical system using inexact output data. Asia-Pacific Journal of Operational Research. 2025. 10.1142\/S0217595925400159.","DOI":"10.1142\/S0217595925400159"},{"key":"10.1016\/j.cnsns.2026.109982_bib0022","series-title":"A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties. Communications in nonlinear science and numerical simulation","author":"Wang","year":"2025"},{"key":"10.1016\/j.cnsns.2026.109982_bib0023","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1016\/j.apm.2023.12.023","article-title":"Distributionally robust system identification for continuous fermentation nonlinear switched system under moment uncertainty of experimental data","volume":"127","author":"Yuan","year":"2024","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109982_bib0024","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1080\/24725854.2023.2219281","article-title":"Decision-dependent distributionally robust markov decision process method in dynamic epidemic control","volume":"56","author":"Song","year":"2023","journal-title":"IISE Trans"},{"key":"10.1016\/j.cnsns.2026.109982_bib0025","series-title":"Antibiotics can be used to contain drug-resistant bacteria by maintaining sufficiently large sensitive populations","first-page":"18","author":"Hansen","year":"2020"},{"key":"10.1016\/j.cnsns.2026.109982_bib0026","series-title":"Event-triggered joint adaptive high-gain observer design for delayed output-sampled nonlinear systems with unknown parameters and output injection. Communications in nonlinear science and numerical simulation","author":"Zhuang","year":"2025"},{"key":"10.1016\/j.cnsns.2026.109982_bib0027","doi-asserted-by":"crossref","first-page":"9543","DOI":"10.1016\/j.amc.2013.03.015","article-title":"Time-delay estimation for nonlinear systems with piecewise-constant input","volume":"219","author":"Chai","year":"2013","journal-title":"Appl Math Comput"},{"key":"10.1016\/j.cnsns.2026.109982_bib0028","doi-asserted-by":"crossref","first-page":"6899","DOI":"10.1016\/j.apm.2013.02.021","article-title":"Modelling and parameter identification for a nonlinear time-delay system in microbial batch fermentation","volume":"37","author":"Liu","year":"2013","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109982_bib0029","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.automatica.2015.06.028","article-title":"Parameter estimation for nonlinear time-delay systems with noisy output measurements","volume":"60","author":"Lin","year":"2015","journal-title":"Automatica"},{"key":"10.1016\/j.cnsns.2026.109982_bib0030","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/j.apm.2017.09.007","article-title":"Robust parameter estimation for nonlinear multistage time-delay systems with noisy measurement data","volume":"53","author":"Liu","year":"2018","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109982_bib0031","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1016\/j.apm.2018.09.040","article-title":"Distributionally robust parameter identification of a time-delay dynamical system with stochastic measurements","volume":"69","author":"Gong","year":"2019","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109982_bib0032","doi-asserted-by":"crossref","first-page":"471","DOI":"10.3934\/jimo.2013.9.471","article-title":"A unified parameter identification method for nonlinear time-delay systems","volume":"9","author":"Chai","year":"2013","journal-title":"J Indus Manage Optim"},{"key":"10.1016\/j.cnsns.2026.109982_bib0033","series-title":"Linear programming in infinite-dimensional spaces: Theory and applications","author":"Anderson","year":"1987"},{"key":"10.1016\/j.cnsns.2026.109982_bib0034","series-title":"Applied and computational optimal control: a control parametrization approach","volume":"vol. 171","author":"Teo","year":"2021"},{"key":"10.1016\/j.cnsns.2026.109982_bib0035","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1038\/nature05685","article-title":"Antibiotic interactions that select against resistance","volume":"446","author":"Chait","year":"2007","journal-title":"Nature"},{"key":"10.1016\/j.cnsns.2026.109982_bib0036","series-title":"Antibiotic interactions shape short-term evolution of resistance in E. Faecalis. PLOS Pathogens","author":"Dean","year":"2020"},{"key":"10.1016\/j.cnsns.2026.109982_bib0037","doi-asserted-by":"crossref","first-page":"1064","DOI":"10.1126\/science.257.5073.1064","article-title":"The crisis in antibiotic resistance","volume":"257","author":"Harold","year":"1992","journal-title":"Science"},{"key":"10.1016\/j.cnsns.2026.109982_bib0038","series-title":"Access to effective antimicrobials: a worldwide challenge. The lancet","volume":"vol. 387","author":"Laxminarayan","year":"2016"},{"key":"10.1016\/j.cnsns.2026.109982_bib0039","doi-asserted-by":"crossref","first-page":"2145","DOI":"10.1007\/s00134-004-2428-9","article-title":"Antibiotic pharmacokinetic and pharmacodynamic considerations in critical illness","volume":"30","author":"Mehrotra","year":"2004","journal-title":"Intensive Care Med"},{"key":"10.1016\/j.cnsns.2026.109982_bib0040","series-title":"Antibiotic resistance-what\u2019s dosing got to do with it? Critical care medicine","volume":"vol. 36","author":"Roberts","year":"2008"},{"key":"10.1016\/j.cnsns.2026.109982_bib0041","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/j.tim.2015.01.005","article-title":"Is selection relevant in the evolutionary emergence of drug resistance?","volume":"23","author":"Day","year":"2015","journal-title":"Trends Microbiol"},{"key":"10.1016\/j.cnsns.2026.109982_bib0042","series-title":"How competition governs whether moderate or aggressive treatment minimizes antibiotic resistance","author":"Colijn","year":"2015"},{"key":"10.1016\/j.cnsns.2026.109982_bib0043","series-title":"Integrating antimicrobial therapy with host immunity to fight drug-resistant infections: classical vs. adaptive treatment","first-page":"12","author":"Gjini","year":"2016"},{"key":"10.1016\/j.cnsns.2026.109982_bib0044","series-title":"How to use a chemotherapeutic agent when resistance to it threatens the patient","first-page":"15","author":"Hansen","year":"2017"},{"key":"10.1016\/j.cnsns.2026.109982_bib0045","series-title":"A gradient-based algorithm for non-smooth constrained optimization problems governed by discrete-time nonlinear equations with application to long-term hydrothermal optimal scheduling control","author":"Wu","year":"2022"},{"key":"10.1016\/j.cnsns.2026.109982_bib0046","series-title":"Nonlinear programming: sequential unconstrained minimization techniques","author":"Fiacco","year":"1990"},{"key":"10.1016\/j.cnsns.2026.109982_bib0047","series-title":"Numerical optimization","author":"Jorge","year":"2006"},{"key":"10.1016\/j.cnsns.2026.109982_bib0048","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.apm.2022.03.026","article-title":"Modeling and parameter identification of microbial batch fermentation under environmental disturbances","volume":"108","author":"Gao","year":"2022","journal-title":"Appl Math Model"},{"key":"10.1016\/j.cnsns.2026.109982_bib0049","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1016\/j.conengprac.2012.03.001","article-title":"Optimal control of an industrial-scale evaporation process: sodium aluminate solution","volume":"20","author":"Chai","year":"2012","journal-title":"Contr Eng Pract"},{"key":"10.1016\/j.cnsns.2026.109982_bib0050","doi-asserted-by":"crossref","first-page":"2113","DOI":"10.1109\/TAC.2010.2050710","article-title":"An optimization approach to state-delay identification","volume":"55","author":"Loxton","year":"2010","journal-title":"IEEE Trans Autom Contr"},{"key":"10.1016\/j.cnsns.2026.109982_bib0051","series-title":"Biological variation: understanding why it is so important? Practical laboratory medicine","author":"Badrick","year":"2021"},{"key":"10.1016\/j.cnsns.2026.109982_bib0052","series-title":"Analysis of uncertainty and variability in finite element computational models for biomedical engineering: characterization and propagation","first-page":"4","author":"Mangado","year":"2016"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426003412?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426003412?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,26]],"date-time":"2026-05-26T23:01:27Z","timestamp":1779836487000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426003412"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":52,"alternative-id":["S1007570426003412"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109982","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Distributionally robust identification problem under uncertain experimental data and its application to antibiotic treatment of infectious diseases","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109982","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109982"}}