{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T11:23:34Z","timestamp":1771413814638,"version":"3.50.1"},"reference-count":133,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"}],"funder":[{"name":"IPSA, Paris"},{"name":"INRIA DISCO, by a grant from Hubert Curien BRANCUSI 2017","award":["38390ZL"],"award-info":[{"award-number":["38390ZL"]}]},{"name":"Hubert Curien BALATON 2018","award":["40502NM"],"award-info":[{"award-number":["40502NM"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2018]]},"DOI":"10.1109\/access.2018.2828871","type":"journal-article","created":{"date-parts":[[2018,4,26]],"date-time":"2018-04-26T19:12:08Z","timestamp":1524769928000},"page":"27392-27407","source":"Crossref","is-referenced-by-count":24,"title":["Stability Analysis of Systems With Delay-Dependent Coefficients: An Overview"],"prefix":"10.1109","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1690-1252","authenticated-orcid":false,"given":"Chi","family":"Jin","sequence":"first","affiliation":[]},{"given":"Keqin","family":"Gu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3444-2566","authenticated-orcid":false,"given":"Silviu-Iulian","family":"Niculescu","sequence":"additional","affiliation":[]},{"given":"Islam","family":"Boussaada","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-09393-2"},{"key":"ref38","article-title":"DDE-BIFTOOL v. 2.00: A MATLAB package for bifurcation analysis of delay differential equations","author":"engelborghs","year":"2001"},{"key":"ref33","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-02729-6","author":"\u00e7ela","year":"2014","journal-title":"Optimal Design of Distributed Control and Embedded Systems"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1145\/800204.806289"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/37.7726"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(82)90243-8"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1063\/1.461481"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7798328"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2010.5530746"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2168992"},{"key":"ref28","first-page":"77","article-title":"On zeroes of some transcendental equations","volume":"29","author":"cooke","year":"1986","journal-title":"Funkcialaj Ekvacioj"},{"key":"ref27","first-page":"121","article-title":"A review on local asymptotic stability analysis for mathematical models of hematopoiesis with delay and delay-dependent coefficients","volume":"9","author":"crauste","year":"2011","journal-title":"Annals of the Tiberiu Popoviciu Seminar of Functional Equations Approximation and Convexity"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050194"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2012.745027"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/080741707"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00111-8"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.923686"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/080741719"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.834113"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2006.3.325"},{"key":"ref100","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1109\/TAC.2009.2014935","article-title":"Low-order stabilization of LTI systems with time delay","volume":"54","author":"ou","year":"2009","journal-title":"IEEE Trans Autom Control"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/9.412637"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0039-0"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1115\/1.1569950"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/ECC.2016.7810535"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.883030"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9892-2"},{"key":"ref56","author":"halanay","year":"1966","journal-title":"Differential Equations Stability Oscillations Time Lags"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2014.02.020"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2016.7798743"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1142\/9789814525503_0001"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.5402\/2012\/725783"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.03.003"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2015.20.2765"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1016\/S0967-0661(01)00062-4","article-title":"The future of PID control","volume":"9","author":"\u00e5str\u00f6m","year":"2000","journal-title":"Control Eng Pract"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2750-2"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1999.833279"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.2307\/1938202"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2050162"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141000376086"},{"key":"ref9","author":"bellman","year":"1963","journal-title":"Differential-Difference Equations"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1080\/002071797223406"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7403229"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.02.034"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1080\/00207170110047190"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2008.09.043"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2007.4282786"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-004-0278-2"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1134\/S0005117908120011"},{"key":"ref127","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-01695-5_22"},{"key":"ref126","first-page":"447","article-title":"On the complexity of purely complex $\\mu $ computation and related problems in multidimensional systems","volume":"1","author":"toker","year":"1995","journal-title":"Proc Amer Control Conf"},{"key":"ref125","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719598"},{"key":"ref124","doi-asserted-by":"crossref","DOI":"10.1007\/b138796","author":"silva","year":"2005","journal-title":"PID controllers for time delay systems"},{"key":"ref73","author":"kharitonov","year":"2012","journal-title":"Time Delay Systems Lyapunov Functionals and Matrices"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2170451"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1086\/508013"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1080\/00207179308934456"},{"key":"ref128","doi-asserted-by":"publisher","DOI":"10.1049\/ip-d.1987.0018"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139993252839"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1137\/0307017"},{"key":"ref130","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.03.028"},{"key":"ref77","author":"lancaster","year":"1985","journal-title":"The Theory of Matrices with Applications"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4877-0"},{"key":"ref75","author":"krasovskii","year":"1963","journal-title":"Stability and Motion Applications of Lyapunov’s Second Method to Differential Systems and Equations With Delay"},{"key":"ref133","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2009.2034742"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(79)90087-8"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(92)90127-Y"},{"key":"ref132","doi-asserted-by":"publisher","DOI":"10.1109\/37.898794"},{"key":"ref79","first-page":"239","article-title":"Delay differential systems with time-varying delay: New directions for stability theory","volume":"37","author":"louisell","year":"2001","journal-title":"Kybernetika"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-0335-7"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1109\/ICSTCC.2017.8107072"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1111\/j.1399-3054.1967.tb08383.x"},{"key":"ref63","article-title":"Stability analysis of systems with delay-dependent coefficients subject to some particular delay structure","author":"jin","year":"0"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/ICSTCC.2017.8107072"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2017.7963847"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2017.08.1894"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(78)90034-7"},{"key":"ref68","author":"knopp","year":"1996","journal-title":"Theory of Functions Parts I and II"},{"key":"ref2","author":"ahlfors","year":"1953","journal-title":"Complex Analysis An Introduction to the Theory of Analytic Functions of One Complex Variable"},{"key":"ref69","volume":"191","author":"kuang","year":"1993","journal-title":"Delay Differential Equations With Applications in Population Dynamics"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.02.026"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2015.09.381"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.3182\/20050703-6-CZ-1902.00638"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2478130"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.828326"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2016.07.526"},{"key":"ref93","volume":"269","author":"niculescu","year":"2001","journal-title":"Delay Effects on Stability A Robust Control Approach"},{"key":"ref106","first-page":"39","article-title":"A stability test for systems with delays","author":"rekasius","year":"1980","journal-title":"Proc Joint Autom Control Conf"},{"key":"ref92","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61317-3_18"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(03)00167-5"},{"key":"ref91","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.39.347"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2014.6859228"},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1137\/16M107774X"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.1137\/070706999"},{"key":"ref102","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2017.7963750"},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.1080\/00207540110085629"},{"key":"ref112","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/19.1_and_2.157"},{"key":"ref110","doi-asserted-by":"publisher","DOI":"10.1137\/15M1050999"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1994.1360"},{"key":"ref99","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.1000275"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00260-6"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/15.4.331"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2011.2121410"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02897-7_13"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.6109"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2480175"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.03.002"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-016-0050-9"},{"key":"ref118","doi-asserted-by":"publisher","DOI":"10.1137\/060673813"},{"key":"ref16","first-page":"1","article-title":"Computing the codimension of the singularity at the origin for delay systems: The missing link with Birkhoff incidence matrices","author":"boussaada","year":"2014","journal-title":"Proc 21st Int Symp Math Theory Netw Syst (MTNS)"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2633533"},{"key":"ref117","doi-asserted-by":"publisher","DOI":"10.1115\/1.1569942"},{"key":"ref17","article-title":"Multiplicity and stable varieties of time delay systems: A missing link","author":"boussaada","year":"2016","journal-title":"Proc Int Symp Math Theory Netw Syst (MTNS)"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2226102"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.piutam.2017.08.011"},{"key":"ref84","author":"miao","year":"2017","journal-title":"Inversion of separable kernel operators in coupled differential-functional equations and application to controller synthesis"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.2991\/jnmp.2001.8.s.46"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2017.11.022"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2015.09.386"},{"key":"ref114","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2010.939135"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25221-1_11"},{"key":"ref116","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.01.017"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.12.007"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2090734"},{"key":"ref120","doi-asserted-by":"publisher","DOI":"10.1109\/ECC.2014.6862453"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0752"},{"key":"ref121","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.05.030"},{"key":"ref122","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.03.007"},{"key":"ref123","author":"st\u00e9p\u00e1n","year":"1989","journal-title":"Retarded Dynamical Systems Stability and Characteristic Functions"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1017\/S0013091500034428"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.04.008"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1137\/060671425"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973631"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8274985\/08350313.pdf?arnumber=8350313","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:14:29Z","timestamp":1642004069000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8350313\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":133,"URL":"https:\/\/doi.org\/10.1109\/access.2018.2828871","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]}}}