{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T07:07:53Z","timestamp":1774940873164,"version":"3.50.1"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2020,6,3]],"date-time":"2020-06-03T00:00:00Z","timestamp":1591142400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,3]],"date-time":"2020-06-03T00:00:00Z","timestamp":1591142400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61972203"],"award-info":[{"award-number":["61972203"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61603188"],"award-info":[{"award-number":["61603188"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012154","name":"Graduate Research and Innovation Projects of Jiangsu Province","doi-asserted-by":"crossref","award":["KYCX19_0252"],"award-info":[{"award-number":["KYCX19_0252"]}],"id":[{"id":"10.13039\/501100012154","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":[[2020,11]]},"DOI":"10.1007\/s00034-020-01440-8","type":"journal-article","created":{"date-parts":[[2020,6,3]],"date-time":"2020-06-03T17:17:01Z","timestamp":1591204621000},"page":"5475-5500","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dissipative Control of 2-D Switched Discrete System Via Dwell-Time-Dependent Approach"],"prefix":"10.1007","volume":"39","author":[{"given":"Dingli","family":"Hua","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1602-2250","authenticated-orcid":false,"given":"Weiqun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiren","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,6,3]]},"reference":[{"issue":"7","key":"1440_CR1","doi-asserted-by":"publisher","first-page":"1745","DOI":"10.1109\/TAC.2015.2398887","volume":"60","author":"CK Ahn","year":"2015","unstructured":"C.K. Ahn, P. Shi, M.V. Basin, Two-dimensional dissipative control and filtering for Roesser model. IEEE Trans. Autom. Control 60(7), 1745\u20131759 (2015)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1440_CR2","volume-title":"Two-dimensional Systems: From Introduction to State of the Art","author":"A Benzaouia","year":"2015","unstructured":"A. Benzaouia, A. Hmamed, F. Tadeo, Two-dimensional Systems: From Introduction to State of the Art (Springer, Berlin, 2015)"},{"key":"1440_CR3","unstructured":"B.E. Bishop, M.W. Spong, Control of redundant manipulators using logic-based switching, in Proceedings of 37th IEEE Conference on Decision and Control, vol.\u00a02 (1998), p. 1488\u20131493"},{"key":"1440_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777","volume-title":"Linear Matrix Inequalities in System and Control Theory","author":"S Boyd","year":"1994","unstructured":"S. Boyd, L. El Ghaoui, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory (SIAM, Philadelphia, 1994)"},{"key":"1440_CR5","unstructured":"C. Du, L. Xie, $$H_\\infty $$Control and Filtering of Two-dimensional Systems (Springer, Berlin, 2002)"},{"issue":"13","key":"1440_CR6","doi-asserted-by":"publisher","first-page":"1983","DOI":"10.1049\/iet-cta.2018.5918","volume":"13","author":"Z Duan","year":"2019","unstructured":"Z. Duan, J. Shen, I. Chous, J. Fu, $${H}_\\infty $$ filtering for discrete-time 2D T\u2013S fuzzy systems with finite frequency disturbances. IET Control Theory Appl. 13(13), 1983\u20131994 (2019)","journal-title":"IET Control Theory Appl."},{"issue":"6","key":"1440_CR7","doi-asserted-by":"publisher","first-page":"1513","DOI":"10.1016\/j.jfranklin.2013.04.001","volume":"350","author":"Z Duan","year":"2013","unstructured":"Z. Duan, Z. Xiang, State feedback $$H_\\infty $$ control for discrete 2D switched systems. J. Frankl. Inst. 350(6), 1513\u20131530 (2013)","journal-title":"J. Frankl. Inst."},{"issue":"4","key":"1440_CR8","doi-asserted-by":"publisher","first-page":"1095","DOI":"10.1007\/s00034-013-9680-6","volume":"33","author":"Z Duan","year":"2014","unstructured":"Z. Duan, Z. Xiang, Output feedback $$H_\\infty $$ stabilization of 2D discrete switched systems in FM LSS model. Circuits Syst. Signal Process. 33(4), 1095\u20131117 (2014)","journal-title":"Circuits Syst. Signal Process."},{"issue":"8","key":"1440_CR9","doi-asserted-by":"publisher","first-page":"2647","DOI":"10.1109\/TAC.2017.2771373","volume":"63","author":"Z Fei","year":"2018","unstructured":"Z. Fei, S. Shi, Z. Wang, L. Wu, Quasi-time-dependent output control for discrete-time switched system with mode-dependent average dwell time. IEEE Trans. Autom. Control 63(8), 2647\u20132653 (2018)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1440_CR10","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.automatica.2017.01.026","volume":"79","author":"Z Fei","year":"2017","unstructured":"Z. Fei, S. Shi, C. Zhao, L. Wu, Asynchronous control for 2-D switched systems with mode-dependent average dwell time. Automatica 79, 198\u2013206 (2017)","journal-title":"Automatica"},{"key":"1440_CR11","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.automatica.2016.11.035","volume":"77","author":"Z Feng","year":"2017","unstructured":"Z. Feng, P. Shi, Two equivalent sets: application to singular systems. Automatica 77, 198\u2013205 (2017)","journal-title":"Automatica"},{"issue":"1","key":"1440_CR12","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/BF01776566","volume":"12","author":"E Fornasini","year":"1978","unstructured":"E. Fornasini, G. Marchesini, Doubly indexed dynamical systems: state space models and structural properties. Math. Syst. Theory 12(1), 59\u201372 (1978)","journal-title":"Math. Syst. Theory"},{"issue":"3","key":"1440_CR13","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1080\/00207721.2017.1406552","volume":"49","author":"L Fu","year":"2018","unstructured":"L. Fu, Y. Ma, Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback. Int. J. Syst. Sci. 49(3), 639\u2013652 (2018)","journal-title":"Int. J. Syst. Sci."},{"issue":"11","key":"1440_CR14","doi-asserted-by":"publisher","first-page":"4789","DOI":"10.1007\/s00034-018-0813-9","volume":"37","author":"J Gao","year":"2018","unstructured":"J. Gao, W. Wang, G. Zhang, Finite-time stability and control of 2-D continuous-discrete system in Roesser model. Circuits Syst. Signal Process. 37(11), 4789\u20134809 (2018)","journal-title":"Circuits Syst. Signal Process."},{"issue":"10","key":"1440_CR15","doi-asserted-by":"publisher","first-page":"1242","DOI":"10.1177\/0142331214560805","volume":"37","author":"I Ghous","year":"2015","unstructured":"I. Ghous, Z. Xiang, $$H_\\infty $$ stabilization of 2-D discrete switched delayed systems represented by the Roesser model subject to actuator saturation. Trans. Inst. Meas. Control 37(10), 1242\u20131253 (2015)","journal-title":"Trans. Inst. Meas. Control"},{"issue":"5","key":"1440_CR16","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1109\/TAC.1976.1101352","volume":"21","author":"DJ Hill","year":"1976","unstructured":"D.J. Hill, P.J. Moylan, The stability of nonlinear dissipative systems. IEEE Trans. Autom. Control 21(5), 708\u2013711 (1976)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"5","key":"1440_CR17","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/0016-0032(80)90026-5","volume":"309","author":"DJ Hill","year":"1980","unstructured":"D.J. Hill, P.J. Moylan, Dissipative dynamical systems: basic input\u2013output and state properties. J. Frankl. Inst. 309(5), 327\u2013357 (1980)","journal-title":"J. Frankl. Inst."},{"issue":"2","key":"1440_CR18","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1109\/81.219824","volume":"40","author":"T Hinamoto","year":"1993","unstructured":"T. Hinamoto, 2-D Lyapunov equation and filter design based on Fomasini\u2013Marchesini second model. IEEE Trans. Circuits Syst. I. 40(2), 102\u2013110 (1993)","journal-title":"IEEE Trans. Circuits Syst. I."},{"issue":"16","key":"1440_CR19","doi-asserted-by":"publisher","first-page":"3406","DOI":"10.1080\/00207721.2018.1542043","volume":"49","author":"D Hua","year":"2018","unstructured":"D. Hua, W. Wang, J. Yao, Finite-region dissipative control for 2-D systems in the Roesser model. Int. J. Syst. Sci. 49(16), 3406\u20133417 (2018)","journal-title":"Int. J. Syst. Sci."},{"issue":"11","key":"1440_CR20","doi-asserted-by":"publisher","first-page":"5729","DOI":"10.1016\/j.jfranklin.2019.05.025","volume":"356","author":"D Hua","year":"2019","unstructured":"D. Hua, W. Wang, J. Yao, Y. Ren, Non-weighted $${H}_\\infty $$ performance for 2-D FMLSS switched system with maximum and minimum dwell time. J. Frankl. Inst. 356(11), 5729\u20135753 (2019)","journal-title":"J. Frankl. Inst."},{"key":"1440_CR21","volume-title":"Two-dimensional Linear Systems","author":"T Kaczorek","year":"1985","unstructured":"T. Kaczorek, Two-dimensional Linear Systems (Springer, Berlin, 1985)"},{"key":"1440_CR22","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.sysconle.2013.12.010","volume":"66","author":"Z Li","year":"2014","unstructured":"Z. Li, H. Gao, H. Karimi, Stability analysis and $$H_\\infty $$ controller synthesis of discrete-time switched systems with time delay. Syst. Control Lett. 66, 85\u201393 (2014)","journal-title":"Syst. Control Lett."},{"issue":"5","key":"1440_CR23","first-page":"1","volume":"77","author":"W Lo","year":"2008","unstructured":"W. Lo, L. Wang, B. Li, Thermal transistor: heat flux switching and modulating. J. Phys. Soc. Jpn. 77(5), 1\u20134 (2008)","journal-title":"J. Phys. Soc. Jpn."},{"issue":"1","key":"1440_CR24","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/0307-904X(84)90170-7","volume":"8","author":"W Marszalek","year":"1984","unstructured":"W. Marszalek, Two-dimensional state-space discrete models for hyperbolic partial differential equations. Appl. Math. Model. 8(1), 11\u201314 (1984)","journal-title":"Appl. Math. Model."},{"issue":"1","key":"1440_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/TAC.1975.1100844","volume":"20","author":"R Roesser","year":"1975","unstructured":"R. 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":"1440_CR26","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.ins.2017.04.043","volume":"408","author":"S Shi","year":"2017","unstructured":"S. Shi, Z. Fei, J. Qiu, L. Wu, Quasi-time-dependent control for 2-D switched systems with actuator saturation. Inf. Sci. 408, 115\u2013128 (2017)","journal-title":"Inf. Sci."},{"issue":"3","key":"1440_CR27","doi-asserted-by":"publisher","first-page":"857","DOI":"10.1109\/TAC.2017.2732060","volume":"63","author":"S Shi","year":"2018","unstructured":"S. Shi, Z. Fei, W. Sun, X. Yang, Stabilization of 2-D switched systems with all modes unstable via switching signal regulation. IEEE Trans. Autom. Control 63(3), 857\u2013863 (2018)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1440_CR28","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1016\/j.ins.2018.06.009","volume":"460","author":"J Tao","year":"2018","unstructured":"J. Tao, Z.-G. Wu, Y. Wu, Filtering of two-dimensional periodic systems subject to dissipativity. Inf. Sci. 460, 364\u2013373 (2018)","journal-title":"Inf. Sci."},{"issue":"7","key":"1440_CR29","doi-asserted-by":"publisher","first-page":"2272","DOI":"10.1002\/rnc.4484","volume":"29","author":"D Tian","year":"2019","unstructured":"D. Tian, S. Liu, W. Wang, Global exponential stability of 2D switched positive nonlinear systems described by the Roesser model. Inter. J. Robust Nonlinear Control 29(7), 2272\u20132282 (2019)","journal-title":"Inter. J. Robust Nonlinear Control"},{"issue":"8","key":"1440_CR30","doi-asserted-by":"publisher","first-page":"1744","DOI":"10.1080\/00207721.2017.1282059","volume":"48","author":"L Wang","year":"2017","unstructured":"L. Wang, W. Chen, L. Li, Dissipative stability analysis and control of two-dimensional Fornasinia\u2013Marchesini local state-space model. Int. J. Syst. Sci. 48(8), 1744\u20131751 (2017)","journal-title":"Int. J. Syst. Sci."},{"issue":"11","key":"1440_CR31","doi-asserted-by":"publisher","first-page":"1676","DOI":"10.1049\/iet-cta.2014.0875","volume":"9","author":"L Wang","year":"2015","unstructured":"L. Wang, W. Wang, G. Zhang, W. Chen, Generalised Kalman Yakubovich Popov lemma with its application in finite frequency positive realness control for two-dimensional continuous-discrete systems in the Roesser model form. IET Control Theory Appl. 9(11), 1676\u20131682 (2015)","journal-title":"IET Control Theory Appl."},{"issue":"5","key":"1440_CR32","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00276493","volume":"45","author":"J Willems","year":"1972","unstructured":"J. Willems, Dissipative dynamical systems part i: general theory. Arch. Ration. Mech. Anal. 45(5), 321\u2013351 (1972)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"1440_CR33","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.sysconle.2017.05.008","volume":"106","author":"C Wu","year":"2017","unstructured":"C. Wu, X. Liu, External stability of switching control systems. Syst. Control Lett. 106, 24\u201331 (2017)","journal-title":"Syst. Control Lett."},{"key":"1440_CR34","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, X. Su, Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings. Automatica 59, 206\u2013215 (2015)","journal-title":"Automatica"},{"key":"1440_CR35","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.ins.2015.05.025","volume":"320","author":"W Xiang","year":"2015","unstructured":"W. Xiang, J. Xiao, G. Zhai, Dissipativity and dwell time specifications of switched discrete-time systems and its applications in $$H_\\infty $$ and robust passive control. Inf. Sci. 320, 206\u2013222 (2015)","journal-title":"Inf. Sci."},{"key":"1440_CR36","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2019.2916417","author":"R Yang","year":"2019","unstructured":"R. Yang, L. Li, P. Shi, Dissipativity-based two-dimensional control and filtering for a class of switched systems. IEEE Trans. Syst. Man Cybern. Syst. (2019). https:\/\/doi.org\/10.1109\/TSMC.2019.2916417","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"1440_CR37","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1016\/j.automatica.2018.09.013","volume":"98","author":"R Yang","year":"2018","unstructured":"R. Yang, W.X. Zheng, $$H_\\infty $$ filtering for discrete-time 2-D switched system: an extended average dwell time approach. Automatica 98, 302\u2013313 (2018)","journal-title":"Automatica"},{"issue":"5","key":"1440_CR38","doi-asserted-by":"publisher","first-page":"2463","DOI":"10.1016\/j.jfranklin.2018.11.017","volume":"356","author":"R Yang","year":"2019","unstructured":"R. Yang, W.X. Zheng, Model transformation based sliding mode control of discrete-time two-dimensional Fornasini\u2013Marchesini systems. J. Frankl. Inst. 356(5), 2463\u20132473 (2019)","journal-title":"J. Frankl. Inst."},{"issue":"5","key":"1440_CR39","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1109\/TAC.2012.2220012","volume":"58","author":"N Yeganefar","year":"2013","unstructured":"N. Yeganefar, N. Yeganefar, M. Ghamgui, E. Moulay, Lyapunov theory for 2-D nonlinear Roesser models: application to asymptotic and exponential stability. IEEE Trans. Autom. Control 58(5), 1299\u20131304 (2013)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"1440_CR40","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/s00034-016-0306-7","volume":"36","author":"Y Yin","year":"2017","unstructured":"Y. Yin, X. Zhao, X. Zheng, New stability and stabilization conditions of switched systems with mode-dependent average dwell time. Circuits Syst. Signal Process. 36(1), 82\u201398 (2017)","journal-title":"Circuits Syst. Signal Process."},{"issue":"1","key":"1440_CR41","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1109\/37.898794","volume":"21","author":"W Zhang","year":"2001","unstructured":"W. Zhang, M.S. Branicky, S.M. Phillips, Stability of networked control systems. IEEE Control Syst. Mag. 21(1), 84\u201399 (2001)","journal-title":"IEEE Control Syst. Mag."},{"key":"1440_CR42","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.ins.2018.12.010","volume":"479","author":"Y-L Zhi","year":"2019","unstructured":"Y.-L. Zhi, Y. He, M. Wu, Q. Liu, New results on dissipativity analysis of singular systems with time-varying delay. Inf. Sci. 479, 292\u2013300 (2019)","journal-title":"Inf. Sci."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01440-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-020-01440-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01440-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,2]],"date-time":"2021-06-02T23:25:55Z","timestamp":1622676355000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-020-01440-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,3]]},"references-count":42,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2020,11]]}},"alternative-id":["1440"],"URL":"https:\/\/doi.org\/10.1007\/s00034-020-01440-8","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,3]]},"assertion":[{"value":"20 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 April 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 April 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 June 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}