{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T23:55:47Z","timestamp":1782950147681,"version":"3.54.5"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,9,27]],"date-time":"2018-09-27T00:00:00Z","timestamp":1538006400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"the Central Universities","award":["GK201703009"],"award-info":[{"award-number":["GK201703009"]}]},{"name":"Yue-E Wang","award":["61403241"],"award-info":[{"award-number":["61403241"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2019,4]]},"DOI":"10.1007\/s00034-018-0942-1","type":"journal-article","created":{"date-parts":[[2018,9,27]],"date-time":"2018-09-27T03:34:51Z","timestamp":1538019291000},"page":"1619-1638","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Input\u2013Output Finite-Time Stability of Fractional-Order Positive Switched Systems"],"prefix":"10.1007","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5444-1165","authenticated-orcid":false,"given":"Jinxia","family":"Liang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baowei","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yue-E","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ben","family":"Niu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xuejun","family":"Xie","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,9,27]]},"reference":[{"issue":"6","key":"942_CR1","doi-asserted-by":"publisher","first-page":"1558","DOI":"10.1016\/j.automatica.2010.06.005","volume":"49","author":"F Amato","year":"2010","unstructured":"F. Amato, R. Ambrosino, C. Cosentino, G.D. Tommasi, Input-output finite-time stabilization of linear systems. Automatica 49(6), 1558\u20131562 (2010)","journal-title":"Automatica"},{"key":"942_CR2","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.nahs.2015.08.005","volume":"19","author":"F Amato","year":"2016","unstructured":"F. Amato, G.D. Tommasi, A. Pironti, Input-output finite-time stabilization of impulsive linear systems: necessary and sufficient conditions. Nonlinear Anal. Hybrid Syst. 19, 93\u2013106 (2016)","journal-title":"Nonlinear Anal. Hybrid Syst."},{"issue":"8","key":"942_CR3","doi-asserted-by":"publisher","first-page":"2203","DOI":"10.1109\/TAC.2014.2303231","volume":"59","author":"A Benzaouia","year":"2014","unstructured":"A. Benzaouia, A. Hmamed, F. Mesquine, M. Benhayoun, F. Tadeo, Stabilization of continuous-time fractional positive systems by using a lyapunov function. IEEE Trans. Autom. Control 59(8), 2203\u20132208 (2014)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"942_CR4","doi-asserted-by":"publisher","first-page":"333","DOI":"10.21276\/ijircst.2017.5.4.7","volume":"5","author":"XY Cao","year":"2016","unstructured":"X.Y. Cao, L.P. Liu, H. Xiang, Global exponential stability and stabilization of fractional-order positive switched systems. Int. J. Innov. Res. Comput. Sci. Technol. 5(4), 333\u2013338 (2016)","journal-title":"Int. J. Innov. Res. Comput. Sci. Technol."},{"key":"942_CR5","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1016\/j.neucom.2016.01.050","volume":"191","author":"XW Chen","year":"2016","unstructured":"X.W. Chen, S.L. Du, L.D. Wang, L.D. Liu, Stabilization linear uncertain systems with switched time-varying delays. Neurocomputing 191, 296\u2013303 (2016)","journal-title":"Neurocomputing"},{"key":"942_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-20545-3","volume-title":"Functional fractional calculus","author":"S Das","year":"2011","unstructured":"S. Das, Functional fractional calculus, 2nd edn. (Springer, Berlin, 2011), pp. 1\u2013220","edition":"2"},{"key":"942_CR7","first-page":"1","volume-title":"Applications of fractional calculus in physics","author":"R Hilfer","year":"2001","unstructured":"R. Hilfer, Applications of fractional calculus in physics (World Scientific, Hackensack, 2001), pp. 1\u2013131"},{"key":"942_CR8","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1016\/j.camwa.2013.05.005","volume":"66","author":"SH Hosseinnia","year":"2013","unstructured":"S.H. Hosseinnia, I. Tejado, B.M. Vinagre, Stability of fractional order switching systems. Comput. Math. Appl. 66, 585\u2013596 (2013)","journal-title":"Comput. Math. Appl."},{"issue":"1","key":"942_CR9","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s00034-013-9610-7","volume":"33","author":"S Huang","year":"2014","unstructured":"S. Huang, Z. Xiang, H.R. Karimi, Input-output finite-time stability of discrete-time impulsive switched linear systems with state delays. Circuits Syst. Signal Process. 33(1), 141\u2013158 (2014)","journal-title":"Circuits Syst. Signal Process."},{"key":"942_CR10","doi-asserted-by":"crossref","unstructured":"S.P. Huang, H.R. Karimi, Z.P. Xiang, Input-output finite-time stability of positive switched linear systems with state delays, in 2013 9th Asian Control Conference (ASCC), pp. 1\u20136 (2013)","DOI":"10.1109\/ASCC.2013.6606135"},{"key":"942_CR11","volume-title":"Theory and applications of fractional differential equations","author":"AA Kilbas","year":"2006","unstructured":"A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and applications of fractional differential equations (Elsevier, New York, 2006)"},{"key":"942_CR12","first-page":"48","volume-title":"Selected problems of fractional systems theory","author":"T Kaczorek","year":"2012","unstructured":"T. Kaczorek, Selected problems of fractional systems theory (Springer, Berlin, 2012), pp. 48\u201354"},{"key":"942_CR13","doi-asserted-by":"publisher","first-page":"2677","DOI":"10.1016\/j.na.2007.08.042","volume":"69","author":"V Lakshmikanthama","year":"2008","unstructured":"V. Lakshmikanthama, A.S. Vatsala, Basic theory of fractional differential equations. Nonlinear Anal. 69, 2677\u20132682 (2008)","journal-title":"Nonlinear Anal."},{"key":"942_CR14","doi-asserted-by":"publisher","first-page":"1460","DOI":"10.1016\/j.camwa.2011.03.028","volume":"62","author":"YH Lan","year":"2011","unstructured":"Y.H. Lan, Y. Zhou, LMI-based robust control of fractional order uncertain linear systems. Comput. Math. Appl. 62, 1460\u20131471 (2011)","journal-title":"Comput. Math. Appl."},{"key":"942_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2017\/4896764","volume":"2017","author":"LP Liu","year":"2017","unstructured":"L.P. Liu, X.Y. Cao, Z.M. Fu, S.Z. Song, Input-ouput finite-time control of positive switched systems with time-varying and distributed delays. J. Control Sci. Eng. 2017, 1\u201312 (2017)","journal-title":"J. Control Sci. Eng."},{"key":"942_CR16","first-page":"1","volume":"3","author":"LP Liu","year":"2017","unstructured":"L.P. Liu, X.Y. Cao, Z.M. Fu, S.Z. Song, Guaranteed cost finite-time control of fractional-order positive switched systems. Adv. Math. Phys. 3, 1\u201311 (2017)","journal-title":"Adv. Math. Phys."},{"issue":"2","key":"942_CR17","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1007\/s12555-016-0003-0","volume":"15","author":"S Marir","year":"2017","unstructured":"S. Marir, M. Chadli, D. Bouagada, A novel approach of admissibility for singular linear continuous-time fractional-order systems. Int. J. Control Autom. 15(2), 959\u2013964 (2017)","journal-title":"Int. J. Control Autom."},{"key":"942_CR18","doi-asserted-by":"publisher","first-page":"752","DOI":"10.1016\/j.jfranklin.2016.10.022","volume":"354","author":"S Marir","year":"2017","unstructured":"S. Marir, M. Chadli, D. Bouagada, New admissibility conditions for singular linear continuous-time fractional-order system. J. Frankl. Inst. 354, 752\u2013766 (2017)","journal-title":"J. Frankl. Inst."},{"issue":"1","key":"942_CR19","first-page":"8072","volume":"50","author":"W Malesza","year":"2017","unstructured":"W. Malesza, Positive fractional variable order discrete-time systems. Int. Fed. Autom. Control (IFAC) 50(1), 8072\u20138076 (2017)","journal-title":"Int. Fed. Autom. Control (IFAC)"},{"issue":"5","key":"942_CR20","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1177\/0142331215617237","volume":"39","author":"YJ Ma","year":"2017","unstructured":"Y.J. Ma, B.W. Wu, Input-output finite time stability of fractional order linear systems with $$0<\\alpha <1$$ 0 < \u03b1 < 1 . Trans. Inst. Meas. Control 39(5), 653\u2013659 (2017)","journal-title":"Trans. Inst. Meas. Control"},{"issue":"3","key":"942_CR21","doi-asserted-by":"publisher","first-page":"2076","DOI":"10.1016\/j.neucom.2015.09.080","volume":"173","author":"YJ Ma","year":"2016","unstructured":"Y.J. Ma, B.W. Wu, Y.E. Wang, Finite-time stability and finite time boundedness of fractional order linear systems. Neurocomputing 173(3), 2076\u20132082 (2016)","journal-title":"Neurocomputing"},{"key":"942_CR22","doi-asserted-by":"publisher","first-page":"1907","DOI":"10.1016\/j.automatica.2013.02.066","volume":"49","author":"I N\u2019Doye","year":"2009","unstructured":"I. N\u2019Doye, M. Darouach, M. Zasadzinski, N.E. Radhy, Robust stabilization of uncertain descriptor fractional-order systems. Automatica 49, 1907\u20131913 (2009)","journal-title":"Automatica"},{"key":"942_CR23","volume-title":"Fractional differential equations","author":"I Podlubny","year":"1999","unstructured":"I. Podlubny, Fractional differential equations (Academic Press, London, 1999)"},{"key":"942_CR24","unstructured":"D. Peter, Short time stability in linear time-varying systems. in Proceeding of the IRE International Convention Record Part 4, pp. 83\u201387 (2014)"},{"key":"942_CR25","volume-title":"Fractional integrals and derivatives: theory and application","author":"SG Samko","year":"1993","unstructured":"S.G. Samko, A.A. Kilbas, O. Marichev, Fractional integrals and derivatives: theory and application (Gordon and Breach, Amsterdam, 1993)"},{"issue":"3","key":"942_CR26","doi-asserted-by":"crossref","first-page":"613","DOI":"10.2478\/s13540-013-0039-2","volume":"16","author":"RA Saris","year":"2013","unstructured":"R.A. Saris, Q.A. Mdallal, On the asymptotic stability of linear system of fractional order difference equations. Fract. Calc. Appl. Anal. 16(3), 613\u2013629 (2013)","journal-title":"Fract. Calc. Appl. Anal."},{"issue":"3","key":"942_CR27","doi-asserted-by":"publisher","first-page":"238","DOI":"10.12677\/PM.2016.63037","volume":"6","author":"SL Si","year":"2016","unstructured":"S.L. Si, Y.Y. Qiu, Q.Q. Li, A refinement of Gronwall\u2013Bellman inequality. Pur. Math. 6(3), 238\u2013242 (2016)","journal-title":"Pur. Math."},{"issue":"14","key":"942_CR28","doi-asserted-by":"publisher","first-page":"3632","DOI":"10.1016\/j.jfranklin.2016.06.030","volume":"353","author":"Z Tang","year":"2016","unstructured":"Z. Tang, F. Liu, Input-output finite-time stabilization of Markovian jump systems with convex polytopic switching probabilities. J. Frankl. Inst. 353(14), 3632\u20133640 (2016)","journal-title":"J. Frankl. Inst."},{"key":"942_CR29","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.ins.2014.07.014","volume":"286","author":"R Wang","year":"2014","unstructured":"R. Wang, Y.T. Sun, P. Shi, S.N. Wu, Exponential stability of descriptor systems with large period based on a switching method. Inf. Sci. 286, 147\u2013160 (2014)","journal-title":"Inf. Sci."},{"issue":"3","key":"942_CR30","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/s11768-012-1143-2","volume":"10","author":"J Yao","year":"2011","unstructured":"J. Yao, J.E. Feng, L. Sun, Y. Zheng, Input-output finite time stability of time-varing linear singular systems. J. Control Theory Appl. 10(3), 287\u2013291 (2011)","journal-title":"J. Control Theory Appl."},{"issue":"1","key":"942_CR31","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1007\/s11071-012-0469-0","volume":"70","author":"LD Zhao","year":"2012","unstructured":"L.D. Zhao, J.B. Hu, J.A. Fang, Studying on the stability of fractional order nonlinear system. Nonlinear Dyn. 70(1), 475\u2013479 (2012)","journal-title":"Nonlinear Dyn."},{"key":"942_CR32","first-page":"103","volume":"62","author":"XD Zhao","year":"2016","unstructured":"X.D. Zhao, State-dependent switching control of switched positive fractional order systems. ISAT 62, 103\u2013108 (2016)","journal-title":"ISAT"},{"issue":"7","key":"942_CR33","doi-asserted-by":"publisher","first-page":"2450","DOI":"10.1007\/s00034-015-0236-9","volume":"35","author":"JF Zhang","year":"2017","unstructured":"J.F. Zhang, X.D. Zhao, Y. Chen, Finite-time stability and stabilization of fractional order positive switched systems. Circuits Syst. Signal Process. 35(7), 2450\u20132470 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"7","key":"942_CR34","doi-asserted-by":"publisher","first-page":"1809","DOI":"10.1109\/TAC.2011.2178629","volume":"57","author":"X Zhao","year":"2012","unstructured":"X. Zhao, L.X. Zhang, P. Shi, M. Liu, Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Trans. Autom. Control 57(7), 1809\u20131815 (2012)","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0942-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-0942-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0942-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,2]],"date-time":"2022-09-02T20:44:32Z","timestamp":1662151472000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-0942-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,27]]},"references-count":34,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,4]]}},"alternative-id":["942"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-0942-1","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,27]]},"assertion":[{"value":"20 May 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 September 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 September 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 September 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}