{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T17:40:45Z","timestamp":1772300445456,"version":"3.50.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T00:00:00Z","timestamp":1523404800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573007"],"award-info":[{"award-number":["61573007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013286","name":"Specialized Research Fund for the Doctoral Program of Higher Education","doi-asserted-by":"crossref","award":["20133219110040"],"award-info":[{"award-number":["20133219110040"]}],"id":[{"id":"10.13039\/501100013286","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2018,11]]},"DOI":"10.1007\/s00034-018-0813-9","type":"journal-article","created":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T12:41:54Z","timestamp":1523450514000},"page":"4789-4809","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Finite-Time Stability and Control of 2D Continuous\u2013Discrete Systems in Roesser Model"],"prefix":"10.1007","volume":"37","author":[{"given":"Jingbo","family":"Gao","sequence":"first","affiliation":[]},{"given":"Weiqun","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Guangchen","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,11]]},"reference":[{"issue":"5","key":"813_CR1","doi-asserted-by":"publisher","first-page":"919","DOI":"10.1016\/j.automatica.2010.02.008","volume":"46","author":"F Amato","year":"2010","unstructured":"F. Amato, M. Ariola, C. Cosentino, Finite-time control of discrete-time linear systems: analysis and design conditions. Automatica 46(5), 919\u2013924 (2010)","journal-title":"Automatica"},{"key":"813_CR2","doi-asserted-by":"publisher","first-page":"1459","DOI":"10.1016\/S0005-1098(01)00087-5","volume":"37","author":"F Amato","year":"2001","unstructured":"F. Amato, M. Ariola, P. Dorato, Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica 37, 1459\u20131463 (2001)","journal-title":"Automatica"},{"issue":"2","key":"813_CR3","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/j.neucom.2015.01.051","volume":"159","author":"J Bai","year":"2015","unstructured":"J. Bai, R. Lu, A. Xue, Q. She, Z. Shi, Finite-time stability analysis of discrete-time fuzzy Hopfield neural network. Neurocomputing 159(2), 263\u2013267 (2015)","journal-title":"Neurocomputing"},{"issue":"4","key":"813_CR4","first-page":"561","volume":"58","author":"M Buslowicz","year":"2010","unstructured":"M. Buslowicz, Robust stability of the new general 2D model of a class of continuous\u2013discrete linear systems. Bull. Polish Acad. Sci. Tech. Sci. 58(4), 561\u2013565 (2010)","journal-title":"Bull. Polish Acad. Sci. Tech. Sci."},{"key":"813_CR5","first-page":"133","volume":"56","author":"M Buslowicz","year":"2010","unstructured":"M. Buslowicz, Stability and robust stability conditions for a general model of scalar continuous\u2013discrete linear systems. Pomiary, Automatyka, Kontrola 56, 133\u2013135 (2010)","journal-title":"Pomiary, Automatyka, Kontrola"},{"issue":"2","key":"813_CR6","doi-asserted-by":"publisher","first-page":"401","DOI":"10.2478\/v10006-012-0030-9","volume":"22","author":"M Buslowicz","year":"2012","unstructured":"M. Buslowicz, A. Ruszewski, Computer methods for stability analysis of the Roesser type model of 2D continuous\u2013discrete linear systems. Int. J. Appl. Math. Comput. Sci. 22(2), 401\u2013408 (2012)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"813_CR7","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1016\/j.neucom.2016.01.042","volume":"191","author":"Y Chen","year":"2016","unstructured":"Y. Chen, Q. Liu, R. Lu et al., Finite-time control of switched stochastic delayed systems. Neurocomputing 191, 374 (2016)","journal-title":"Neurocomputing"},{"issue":"10","key":"813_CR8","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1016\/j.sysconle.2010.08.001","volume":"59","author":"P Dabkowski","year":"2010","unstructured":"P. Dabkowski, K. Galkowski, E. Rogers, Strong practical stability and stabilization of differential linear repetitive processes. Syst. Control Lett. 59(10), 639\u2013644 (2010)","journal-title":"Syst. Control Lett."},{"issue":"9","key":"813_CR9","doi-asserted-by":"publisher","first-page":"1478","DOI":"10.1109\/TAC.2003.816954","volume":"48","author":"R Dandrea","year":"2003","unstructured":"R. Dandrea, G.E. Dullerud, Distributed control design for spatially interconnected systems. IEEE Trans. Autom. Control 48(9), 1478\u20131495 (2003)","journal-title":"IEEE Trans. Autom. Control"},{"key":"813_CR10","doi-asserted-by":"crossref","unstructured":"P. Dorato, C. Abdallah, D. Famularo, Robust finite-time stability design via linear matrix inequalities, in IEEE Conference on Decision and Control. Institute of Electrical Engineers INC (IEE). (1997)","DOI":"10.1109\/CDC.1997.657637"},{"key":"813_CR11","volume-title":"Multidimensional Signals, Circuits and Systems, Systems and Control Book Series","author":"K Galkowski","year":"2001","unstructured":"K. Galkowski, J. Wood, Multidimensional Signals, Circuits and Systems, Systems and Control Book Series (Taylor and Francis, London, England, 2001)"},{"issue":"2","key":"813_CR12","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1109\/TAC.2008.2008325","volume":"54","author":"G Garcia","year":"2009","unstructured":"G. Garcia, S. Tarbouriech, J. Bemussou, Finite-time stabilization of linear time-varying continuous systems. IEEE Trans. Autom. Control 54(2), 364\u2013369 (2009)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"7","key":"813_CR13","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1177\/0142331211421807","volume":"34","author":"S He","year":"2012","unstructured":"S. He, F. Liu, On robust controllability with respect to the finite-time interval of uncertain nonlinear jump systems. Trans. Inst. Meas. Control 34(7), 841\u2013849 (2012)","journal-title":"Trans. Inst. Meas. Control"},{"issue":"7","key":"813_CR14","doi-asserted-by":"publisher","first-page":"3782","DOI":"10.1016\/j.jfranklin.2013.03.006","volume":"351","author":"S He","year":"2014","unstructured":"S. He, F. Liu, Optimal finite-time passive controller design for uncertain nonlinear Markovian jumping systems. J. Frankl. Inst. Eng. Appl. Math. 351(7), 3782\u20133796 (2014)","journal-title":"J. Frankl. Inst. Eng. Appl. Math."},{"issue":"4","key":"813_CR15","first-page":"575","volume":"59","author":"T Kaczorek","year":"2011","unstructured":"T. Kaczorek, Positive fractional 2D continuous\u2013discrete linear systems. Bull. Polish Acad. Sci. Tech. Sci. 59(4), 575\u2013579 (2011)","journal-title":"Bull. Polish Acad. Sci. Tech. Sci."},{"issue":"2","key":"813_CR16","first-page":"189","volume":"59","author":"T Kaczorek","year":"2011","unstructured":"T. Kaczorek, Stability of continuous\u2013discrete linear systems described by the general model. Bull. Polish Acad. Sci. Tech. Sci. 59(2), 189\u2013193 (2011)","journal-title":"Bull. Polish Acad. Sci. Tech. Sci."},{"key":"813_CR17","first-page":"529","volume":"17","author":"G Kamenkov","year":"1953","unstructured":"G. Kamenkov, On stability of motion over a finite interval of time. J. Appl. Math. Mech. (PMM) 17, 529\u2013540 (1953)","journal-title":"J. Appl. Math. Mech. (PMM)"},{"key":"813_CR18","volume-title":"A two-dimensional systems stability analysis of vehicle platoons","author":"S Knorn","year":"2013","unstructured":"S. Knorn, A two-dimensional systems stability analysis of vehicle platoons (National University, Maynooth, 2013)"},{"issue":"3","key":"813_CR19","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1016\/j.mcm.2008.09.011","volume":"49","author":"MP Lazarevi\u0107","year":"2009","unstructured":"M.P. Lazarevi\u0107, A.M. Spasi\u0107, Finite-time stability analysis of fractional order time-delay systems: Gronwall\u2019s approach. Math. Comput. Model. 49(3), 475\u2013481 (2009)","journal-title":"Math. Comput. Model."},{"key":"813_CR20","first-page":"75","volume":"18","author":"A Lebedev","year":"1954","unstructured":"A. Lebedev, The problem of stability in a finite interval of time. J. Appl. Math. Mech. (PMM) 18, 75\u201394 (1954)","journal-title":"J. Appl. Math. Mech. (PMM)"},{"key":"813_CR21","unstructured":"Y. Li, M. Cantoni, E. Weyer, On water-level error propagation in controlled irrigation channels, in Proceedings of IEEE Conference on Decision Control and European Control Conference, (Seville, Spain, 2005), pp. 2101\u20132106"},{"key":"813_CR22","doi-asserted-by":"publisher","first-page":"2076","DOI":"10.1016\/j.neucom.2015.09.080","volume":"173","author":"Y Ma","year":"2016","unstructured":"Y. Ma, B. Wu, Y.E. Wang, Finite-time stability and finite-time boundedness of fractional order linear systems. Neurocomputing. 173, 2076\u20132082 (2016)","journal-title":"Neurocomputing."},{"issue":"5","key":"813_CR23","doi-asserted-by":"publisher","first-page":"938","DOI":"10.1016\/j.cep.2007.03.008","volume":"47","author":"A Maidi","year":"2008","unstructured":"A. Maidi, M. Diaf, J. Corriou, Optimal linear PI fuzzy controller design of a heat exchanger. Chem. Eng. Process. 47(5), 938\u2013945 (2008)","journal-title":"Chem. Eng. Process."},{"issue":"2","key":"813_CR24","doi-asserted-by":"publisher","first-page":"1430","DOI":"10.1016\/j.jmaa.2005.11.046","volume":"323","author":"E Moulay","year":"2006","unstructured":"E. Moulay, W. Perruquetti, Finite time stability and stabilization of a class of continuous systems. J. Math. Anal. Appl. 323(2), 1430\u20131443 (2006)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"813_CR25","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/S0167-6911(99)00008-0","volume":"37","author":"DH Owens","year":"1999","unstructured":"D.H. Owens, E. Rogers, Stability analysis for a class of 2D continuous\u2013discrete linear systems with dynamic boundary conditions. Syst. Control Lett. 37(1), 55\u201360 (1999)","journal-title":"Syst. Control Lett."},{"key":"813_CR26","doi-asserted-by":"crossref","unstructured":"W. Paszke, O. Bachelier, New robust stability and stabilization conditions for linear repetitive processes, in International Workshop on Multidimensional, (IEEE, 2009), pp. 1\u20136","DOI":"10.1109\/NDS.2009.5196179"},{"key":"813_CR27","doi-asserted-by":"crossref","unstructured":"W. Paszke, P. Dabkowski, E. Rogers, K. Galkowski, Stability and robustness of discrete linear repetitive processes in the finite frequency domain using the KYP lemma, in IEEE 52nd Annual Conference on Decision and Control (CDC), 2013, pp. 3421\u20133426 (2013)","DOI":"10.1109\/CDC.2013.6760407"},{"issue":"10","key":"813_CR28","doi-asserted-by":"publisher","first-page":"1310","DOI":"10.1016\/j.conengprac.2013.05.011","volume":"21","author":"W Paszke","year":"2013","unstructured":"W. Paszke, E. Rogers, K. Galkowski, Z. Cai, Robust finite frequency range iterative learning control and experimental verification. Control Eng. Pract. 21(10), 1310\u20131320 (2013)","journal-title":"Control Eng. Pract."},{"issue":"1","key":"813_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/TAC.1975.1100844","volume":"20","author":"RP Roesser","year":"1975","unstructured":"R.P. Roesser, A discrete state-space model for linear image processing. IEEE Trans. Autom. Control 20(1), 1\u201310 (1975)","journal-title":"IEEE Trans. Autom. Control"},{"key":"813_CR30","volume-title":"Control Systems Theory and Applications for Linear Repetitive Processes","author":"E Rogers","year":"2007","unstructured":"E. Rogers, K. Galkowski, D.H. Owens, Control Systems Theory and Applications for Linear Repetitive Processes (Springer, Berlin Heidelberg, 2007)"},{"issue":"4","key":"813_CR31","doi-asserted-by":"publisher","first-page":"525","DOI":"10.2298\/CICEQ120126026S","volume":"18","author":"SB Stojanovi\u0107","year":"2012","unstructured":"S.B. Stojanovi\u0107, D.L. Debeljkovi\u0107, N. Dimitrijevi\u0107, Finite-time stability of discrete-time systems with time-varying delay. Chem. Ind. Chem. Eng. Q.\/CICEQ 18(4), 525\u2013533 (2012)","journal-title":"Chem. Ind. Chem. Eng. Q.\/CICEQ"},{"key":"813_CR32","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/j.automatica.2016.01.003","volume":"68","author":"T Tan","year":"2016","unstructured":"T. Tan, B. Zhou, G.R. Duan, Finite-time stabilization of linear time-varying systems by piecewise constant feedback. Automatica 68, 277\u2013285 (2016)","journal-title":"Automatica"},{"issue":"1","key":"813_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11045-015-0326-7","volume":"28","author":"L Wang","year":"2017","unstructured":"L. Wang, W. Wang, J. Gao, Stability and robust stabilization of 2D continuous\u2013discrete systems in Roesser model based on KYP lemma. Multidim. Syst. Sign. Process. 28(1), 1\u201314 (2017)","journal-title":"Multidim. Syst. Sign. Process"},{"issue":"7","key":"813_CR34","doi-asserted-by":"publisher","first-page":"3059","DOI":"10.1109\/TIE.2010.2072891","volume":"58","author":"L Wu","year":"2011","unstructured":"L. Wu, H. Gao, C. Wang, Quasi sliding mode control of differential linear repetitive processes with unknown input disturbance. IEEE Trans. Ind. Electron. 58(7), 3059\u20133068 (2011)","journal-title":"IEEE Trans. Ind. Electron."},{"key":"813_CR35","doi-asserted-by":"publisher","first-page":"700","DOI":"10.1016\/j.neucom.2014.07.060","volume":"149","author":"R Wu","year":"2015","unstructured":"R. Wu, Y. Lu, L. Chen, Finite-time stability of fractional delayed neural networks. Neurocomputing 149, 700\u2013707 (2015)","journal-title":"Neurocomputing"},{"issue":"7","key":"813_CR36","doi-asserted-by":"publisher","first-page":"1849","DOI":"10.1016\/j.automatica.2007.10.027","volume":"44","author":"L Wu","year":"2008","unstructured":"L. Wu, P. Shi, H. Gao, H\u221e filtering for 2D Markovian jump systems. Automatica 44(7), 1849\u20131858 (2008)","journal-title":"Automatica"},{"key":"813_CR37","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.automatica.2015.06.008","volume":"59","author":"L Wu","year":"2015","unstructured":"L. Wu, R. Yang, P. Shi, Stability analysis and stabilization of 2D switched systems under arbitrary and restricted switching. Automatica 59, 206\u2013215 (2015)","journal-title":"Automatica"},{"issue":"3","key":"813_CR38","first-page":"689","volume":"4","author":"W Zhang","year":"2008","unstructured":"W. Zhang, X. An, Finite-time control of linear stochastic systems. Int. J. Innov. Comput. Inf. Control 4(3), 689\u2013696 (2008)","journal-title":"Int. J. Innov. Comput. Inf. Control"},{"key":"813_CR39","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/j.sysconle.2016.10.011","volume":"99","author":"G Zhang","year":"2017","unstructured":"G. Zhang, H.L. Trentelman, W. Wang, Input-output finite-region stability and stabilization for discrete 2D Fornasini\u2013Marchesini models. Syst. Control Lett. 99, 9\u201316 (2017)","journal-title":"Syst. Control Lett."},{"issue":"4","key":"813_CR40","doi-asserted-by":"publisher","first-page":"778","DOI":"10.1080\/00207721.2016.1212436","volume":"48","author":"G Zhang","year":"2017","unstructured":"G. Zhang, W. Wang, Finite-region stability and boundedness for discrete 2D Fornasini\u2013Marchesini second models. Int. J. Syst. Sci. 48(4), 778\u2013787 (2017)","journal-title":"Int. J. Syst. Sci."},{"issue":"18","key":"813_CR41","doi-asserted-by":"publisher","first-page":"5757","DOI":"10.1002\/mma.3982","volume":"39","author":"G Zhang","year":"2016","unstructured":"G. Zhang, W. Wang, Finite-region stability and finite-region boundedness for 2D Roesser models. Math. Methods Appl. Sci. 39(18), 5757\u20135769 (2016)","journal-title":"Math. Methods Appl. Sci."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-018-0813-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0813-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-018-0813-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,19]],"date-time":"2020-05-19T07:59:49Z","timestamp":1589875189000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-018-0813-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,11]]},"references-count":41,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2018,11]]}},"alternative-id":["813"],"URL":"https:\/\/doi.org\/10.1007\/s00034-018-0813-9","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,11]]},"assertion":[{"value":"26 August 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}