{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:48:06Z","timestamp":1759942086597,"version":"3.38.0"},"reference-count":46,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2020,1,28]],"date-time":"2020-01-28T00:00:00Z","timestamp":1580169600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p> This paper is concerned with the design of a finite-time positive observer (FTPO) for continuous-time positive linear systems, which is robust regarding the L2-gain performance. In positive observers, the estimation of the state variables is always nonnegative. In contrast to previous positive observers with asymptotic convergence, an FTPO estimates positive state variables in a finite time. The proposed FTPO observer, using two Identity Luenberger observers and based on the impulsive framework, estimates exactly the state variables of positive systems in a predetermined time interval. Furthermore, sufficient conditions are given in terms of linear matrix inequalities (LMIs) to guarantee the L2-gain performance of the estimation error. Finally, the performance and robustness of the proposed FTPO are validated using numerical simulations. <\/jats:p>","DOI":"10.1177\/0142331219898634","type":"journal-article","created":{"date-parts":[[2020,1,28]],"date-time":"2020-01-28T08:25:47Z","timestamp":1580199947000},"page":"1871-1881","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Impulsive finite-time observer design for uncertain positive linear systems with L2-gain analysis"],"prefix":"10.1177","volume":"42","author":[{"given":"Morteza","family":"Motahhari","sequence":"first","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Shiraz University of Technology, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3989-4676","authenticated-orcid":false,"given":"Mohammad Hossein","family":"Shafiei","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Shiraz University of Technology, Iran"}]}],"member":"179","published-online":{"date-parts":[[2020,1,28]]},"reference":[{"key":"bibr1-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1137\/060663891"},{"key":"bibr2-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(70)90053-2"},{"key":"bibr3-0142331219898634","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.2003.7086592"},{"key":"bibr4-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1002\/oca.2360"},{"key":"bibr5-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1109\/ChiCC.2014.6895654"},{"key":"bibr6-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2014.893587"},{"key":"bibr7-0142331219898634","volume-title":"Mathematical modelling in biomedicine: optimal control of biomedical systems","volume":"23","author":"Cherruault Y","year":"2012"},{"key":"bibr8-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4754(82)90641-3"},{"key":"bibr9-0142331219898634","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.1999.7099454"},{"key":"bibr10-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.800673"},{"key":"bibr11-0142331219898634","volume-title":"Positive Linear Systems: Theory and Applications","volume":"50","author":"Farina L","year":"2011"},{"key":"bibr12-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1109\/9.920798"},{"key":"bibr13-0142331219898634","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-016-0102-y"},{"volume-title":"Modeling with Compartments, BioMedware","year":"1999","author":"Jacquez J","key":"bibr14-0142331219898634"},{"key":"bibr15-0142331219898634","volume":"2","author":"Jacquez JA","year":"1985","journal-title":"Compartmental Analysis in Biology and Medicine"},{"key":"bibr16-0142331219898634","volume-title":"Mathematical Physiology. 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