{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:02:33Z","timestamp":1740135753778,"version":"3.37.3"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2021,4,29]],"date-time":"2021-04-29T00:00:00Z","timestamp":1619654400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,29]],"date-time":"2021-04-29T00:00:00Z","timestamp":1619654400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2021,10]]},"DOI":"10.1007\/s00034-021-01706-9","type":"journal-article","created":{"date-parts":[[2021,4,29]],"date-time":"2021-04-29T19:02:34Z","timestamp":1619722954000},"page":"5220-5233","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Novel Realizability Criterion for Saturation Overflow Oscillation-Free 2-D Digital Filters Based on the Fornasini-Marchesini Second Model"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3505-970X","authenticated-orcid":false,"given":"V. Krishna Rao","family":"Kandanvli","sequence":"first","affiliation":[]},{"given":"Haranath","family":"Kar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,29]]},"reference":[{"issue":"11","key":"1706_CR1","doi-asserted-by":"publisher","first-page":"504","DOI":"10.1016\/j.sigpro.2016.05.022","volume":"128","author":"N Agarwal","year":"2016","unstructured":"N. Agarwal, H. Kar, New results on saturation overflow stability of 2-D state-space digital filters described by the Fornasini-Marchesini second model. Signal Process. 128(11), 504\u2013511 (2016)","journal-title":"Signal Process."},{"issue":"8","key":"1706_CR2","doi-asserted-by":"publisher","first-page":"1065","DOI":"10.1109\/LSP.2014.2382764","volume":"22","author":"CK Ahn","year":"2015","unstructured":"C.K. Ahn, H. Kar, Expected power bound for two-dimensional digital filters in the Fornasini-Marchesini local state-space model. IEEE Signal Process. Lett. 22(8), 1065\u20131069 (2015)","journal-title":"IEEE Signal Process. Lett."},{"issue":"9","key":"1706_CR3","doi-asserted-by":"publisher","first-page":"871","DOI":"10.1109\/TCSII.2015.2435261","volume":"62","author":"CK Ahn","year":"2015","unstructured":"C.K. Ahn, H. Kar, Passivity and finite-gain performance for two-dimensional digital filters: the FMLSS model case. IEEE Trans. Circuits Syst. II 62(9), 871\u2013875 (2015)","journal-title":"IEEE Trans. Circuits Syst. II"},{"key":"1706_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777","volume-title":"Linear Matrix Inequalities in Systems and Control Theory","author":"S Boyd","year":"1994","unstructured":"S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia, 1994)."},{"issue":"1","key":"1706_CR5","first-page":"9","volume":"42","author":"B Cichy","year":"2013","unstructured":"B. Cichy, K. Galkowski, P. Dabkowski, H. Aschemann, A. Rauh, A new procedure for the design of iterative learning controllers using a 2D systems formulation of processes with uncertain spatio-temporal dynamics. Control Cybernet 42(1), 9\u201326 (2013)","journal-title":"Control Cybernet"},{"issue":"4","key":"1706_CR6","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1016\/j.automatica.2010.01.017","volume":"46","author":"CE De Souza","year":"2010","unstructured":"C.E. De Souza, L. Xie, D. Coutinho, Robust filtering for 2-D discrete-time linear systems with convex-bounded parameter uncertainty. Automatica 46(4), 673\u2013681 (2010)","journal-title":"Automatica"},{"key":"1706_CR7","doi-asserted-by":"crossref","unstructured":"D.A. Dewasurendra, P.H. Bauer, A novel approach to grid sensor networks, in International Conference on Electronics, Circuits and Systems, 2008. Proceedings of 15th (IEEE, 2008), pp. 1191\u20131194","DOI":"10.1109\/ICECS.2008.4675072"},{"issue":"7","key":"1706_CR8","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1049\/iet-spr.2011.0265","volume":"6","author":"A Dey","year":"2012","unstructured":"A. Dey, P. Kokil, H. Kar, Stability of two-dimensional digital filters described by the Fornasini\u2013Marchesini second model with quantisation and overflow. IET Signal Process. 6(7), 641\u2013647 (2012)","journal-title":"IET Signal Process."},{"key":"1706_CR9","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/0024-3795(90)90224-Z","volume":"140","author":"E Fornasini","year":"1990","unstructured":"E. Fornasini, 2D Markov chains. Linear Algebra Appl. 140, 101\u2013127 (1990)","journal-title":"Linear Algebra Appl."},{"issue":"3","key":"1706_CR10","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/BF01952235","volume":"2","author":"E Fornasini","year":"1991","unstructured":"E. Fornasini, A 2-D systems approach to river pollution modeling. Multi dimens. Syst. Signal Process. 2(3), 233\u2013265 (1991)","journal-title":"Multi dimens. Syst. Signal Process."},{"key":"1706_CR11","unstructured":"E. Fornasini, M.E. Valcher, Structural properties of 2D compartmental models. In Proceedings of Control \u201997 Conference (1997), Cancun, Mexico, pp. 382\u2013385"},{"key":"1706_CR12","volume-title":"LMI Control Toolbox For Use with MATLAB","author":"P Gahinet","year":"1995","unstructured":"P. Gahinet, A. Nemirovski, A.J. Laub, M. Chilali, LMI Control Toolbox For Use with MATLAB (The MathWorks Inc., Natick, 1995)."},{"issue":"2","key":"1706_CR13","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 the Fornasini- Marchesini second model. IEEE Trans. Circuits Syst. I 40(2), 102\u2013110 (1993)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"3","key":"1706_CR14","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1109\/81.557373","volume":"44","author":"T Hinamoto","year":"1997","unstructured":"T. Hinamoto, Stability of 2-D discrete systems described by the Fornasini-Marchesini second model. IEEE Trans. Circuits Syst. I 44(3), 254\u2013257 (1997)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"23","key":"1706_CR15","doi-asserted-by":"publisher","first-page":"5893","DOI":"10.1109\/TSP.2013.2281300","volume":"61","author":"T Hinamoto","year":"2013","unstructured":"T. Hinamoto, A. Doi, W.-S. Lu, Jointly optimal high-order error feedback and realization for roundoff noise minimization in 1-D and 2-D state-space digital filters. IEEE Trans. Signal Process. 61(23), 5893\u20135904 (2013)","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"1706_CR16","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1109\/82.618042","volume":"44","author":"T Hinamoto","year":"1997","unstructured":"T. Hinamoto, A. Doi, M. Muneyasu, 2-D adaptive state-space filters based on the Fornasini-Marchesini second model. IEEE Trans. Circuits Syst. II 44(8), 667\u2013670 (1997)","journal-title":"IEEE Trans. Circuits Syst. II"},{"issue":"9","key":"1706_CR17","doi-asserted-by":"publisher","first-page":"1587","DOI":"10.1109\/29.60085","volume":"38","author":"T Hinamoto","year":"1990","unstructured":"T. Hinamoto, T. Hamanaka, S. Maekawa, Synthesis of 2-D state space digital filters with low sensitivity based on the Fornasini Marchesini model. IEEE Trans. Acoust. Speech Signal Process. 38(9), 1587\u20131594 (1990)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"11","key":"1706_CR18","doi-asserted-by":"publisher","first-page":"4302","DOI":"10.1109\/TSP.2006.881178","volume":"54","author":"T Hinamoto","year":"2006","unstructured":"T. Hinamoto, H. Ohnishi, W.-S. Lu, Roundoff noise minimization for 2-D state-space digital filters using joint optimization of error feedback and realization. IEEE Trans. Signal Process. 54(11), 4302\u20134310 (2006)","journal-title":"IEEE Trans. Signal Process."},{"issue":"10","key":"1706_CR19","doi-asserted-by":"publisher","first-page":"5157","DOI":"10.1109\/TSP.2008.929115","volume":"56","author":"T Hinamoto","year":"2008","unstructured":"T. Hinamoto, T. Oumi, O.I. Omoifo, W.-S. Lu, Minimization of frequency-weighted l2-sensitivity subject to l2-scaling constraints for two-dimensional state-space digital filters. IEEE Trans. Signal Process. 56(10), 5157\u20135168 (2008)","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"1706_CR20","doi-asserted-by":"publisher","first-page":"775","DOI":"10.1007\/s11045-013-0230-y","volume":"25","author":"S Huang","year":"2014","unstructured":"S. Huang, Z. Xiang, Delay-dependent robust H\u221e control for 2-D discrete nonlinear systems with state delays. Multi dimens. Syst. Signal Process. 25(4), 775\u2013794 (2014)","journal-title":"Multi dimens. Syst. Signal Process."},{"issue":"7","key":"1706_CR21","doi-asserted-by":"publisher","first-page":"1865","DOI":"10.1016\/j.jfranklin.2013.05.012","volume":"350","author":"S Huang","year":"2013","unstructured":"S. Huang, Z. Xiang, H.R. Karimi, Robust l2-gain control for 2D nonlinear stochastic systems with time-varying delays and actuator saturation. J. Franklin Inst. 350(7), 1865\u20131885 (2013)","journal-title":"J. Franklin Inst."},{"key":"1706_CR22","volume-title":"Two-dimensional Linear Systems","author":"T Kaczorek","year":"1985","unstructured":"T. Kaczorek, Two-Dimensional Linear Systems (Springer, Berlin, Germany, 1985)."},{"issue":"11","key":"1706_CR23","doi-asserted-by":"publisher","first-page":"2742","DOI":"10.1109\/TCSII.2020.2980238","volume":"67","author":"VKR Kandanvli","year":"2020","unstructured":"V.K.R. Kandanvli, H. Kar, Global asymptotic stability of 2-D digital filters with a saturation operator on the state-space. IEEE Trans. Circuits Syst. II 67(11), 2742\u20132746 (2020)","journal-title":"IEEE Trans. Circuits Syst. II"},{"issue":"5","key":"1706_CR24","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1049\/ip-cds:19941368","volume":"141","author":"A Kanellakis","year":"1994","unstructured":"A. Kanellakis, New stability results for 2-D discrete systems based on the Fornasini-Marchesini state space model. IEE Proc Circuits Devices Syst. 141(5), 427\u2013432 (1994)","journal-title":"IEE Proc Circuits Devices Syst."},{"issue":"11","key":"1706_CR25","doi-asserted-by":"publisher","first-page":"1412","DOI":"10.1109\/81.802847","volume":"46","author":"H Kar","year":"1999","unstructured":"H. Kar, V. Singh, An improved criterion for the asymptotic stability of 2-D digital filters described by the Fornasini-Marchesini second model using saturation arithmetic. IEEE Trans. Circuits Syst. I 46(11), 1412\u20131413 (1999)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"5","key":"1706_CR26","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1109\/81.922464","volume":"48","author":"H Kar","year":"2001","unstructured":"H. Kar, V. Singh, Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities. IEEE Trans. Circuits Syst. I 48(5), 612\u2013617 (2001)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"1706_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.fss.2012.04.002","volume":"207","author":"L Li","year":"2012","unstructured":"L. Li, W. Wang, Fuzzy modeling and H\u221e control for general 2D nonlinear systems. Fuzzy Sets Syst. 207, 1\u201326 (2012)","journal-title":"Fuzzy Sets Syst."},{"issue":"5","key":"1706_CR28","doi-asserted-by":"publisher","first-page":"574","DOI":"10.1109\/81.668870","volume":"45","author":"D Liu","year":"1998","unstructured":"D. Liu, Lyapunov stability of two-dimensional digital filters with overflow nonlinearities. IEEE Trans. Circuits Syst. I 45(5), 574\u2013577 (1998)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"1706_CR29","unstructured":"J. Lofberg, YALMIP: a toolbox for modeling and optimization in MATLAB, in International Symposium on CACSD, 2004. Proceedings of the 2004 (IEEE, 2004), pp. 284\u2013289"},{"issue":"10","key":"1706_CR30","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1109\/81.329727","volume":"41","author":"W-S Lu","year":"1994","unstructured":"W.-S. Lu, On a Lyapunov approach to stability analysis of 2-D digital filters. IEEE Trans. Circuits Syst. I 41(10), 665\u2013669 (1994)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"1706_CR31","volume-title":"Two-dimensional Digital Filters","author":"W-S Lu","year":"1992","unstructured":"W.-S. Lu, A. Antoniou, Two-Dimensional Digital Filters (Marcel Dekker, New York, USA, 1992)."},{"issue":"3","key":"1706_CR32","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1109\/9.661606","volume":"43","author":"SA Miri","year":"1998","unstructured":"S.A. Miri, J.D. Aplevich, Equivalence of n-dimensional Roesser and Fornasini-Marchesini models. IEEE Trans. Autom. Control 43(3), 401\u2013405 (1998)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"1706_CR33","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1109\/TCSI.2012.2215739","volume":"60","author":"T Ooba","year":"2013","unstructured":"T. Ooba, Asymptotic stability of two-dimensional discrete systems with saturation nonlinearities. IEEE Trans. Circuits Syst. I 60(1), 178\u2013188 (2013)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"1","key":"1706_CR34","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"},{"issue":"10","key":"1706_CR35","doi-asserted-by":"publisher","first-page":"2717","DOI":"10.1016\/j.automatica.2012.06.085","volume":"48","author":"T Shen","year":"2012","unstructured":"T. Shen, Z. Yuan, X. Wang, Stability analysis for digital filters with multiple saturation nonlinearities. Automatica 48(10), 2717\u20132720 (2012)","journal-title":"Automatica"},{"issue":"8","key":"1706_CR36","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1109\/TCSII.2008.922412","volume":"55","author":"V Singh","year":"2008","unstructured":"V. Singh, Stability analysis of 2-D discrete systems described by the Fornasini-Marchesini second model with state saturation. IEEE Trans. Circuits Syst. II 55(8), 793\u2013796 (2008)","journal-title":"IEEE Trans. Circuits Syst. II"},{"issue":"1\u20133","key":"1706_CR37","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s11045-010-0143-y","volume":"22","author":"B Sumanasena","year":"2011","unstructured":"B. Sumanasena, P.H. Bauer, Realization using the Roesser model for implementations in distributed grid sensor networks. Multidimens. Syst. Signal Process. 22(1\u20133), 131\u2013146 (2011)","journal-title":"Multidimens. Syst. Signal Process."},{"issue":"7","key":"1706_CR38","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1109\/81.596941","volume":"44","author":"ME Valcher","year":"1997","unstructured":"M.E. Valcher, On the internal stability and asymptotic behavior of 2-D positive systems. IEEE Trans. Circuits Syst. I 44(7), 602\u2013613 (1997)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"1","key":"1706_CR39","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/s00034-012-9464-4","volume":"32","author":"Z Xiang","year":"2013","unstructured":"Z. Xiang, S. Huang, Stability analysis and stabilization of discrete-time 2D switched systems. Circuits Syst. Signal Process. 32(1), 401\u2013414 (2013)","journal-title":"Circuits Syst. Signal Process."},{"issue":"9","key":"1706_CR40","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1109\/81.721267","volume":"45","author":"C Xiao","year":"1998","unstructured":"C. Xiao, P. Agathoklis, D.J. Hill, Coefficient sensitivity and structure optimization of multidimensional state-space digital filters. IEEE Trans. Circuits Syst. I 45(9), 993\u2013998 (1998)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"5","key":"1706_CR41","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"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01706-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-021-01706-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01706-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,27]],"date-time":"2021-08-27T09:22:20Z","timestamp":1630056140000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-021-01706-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,29]]},"references-count":41,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["1706"],"URL":"https:\/\/doi.org\/10.1007\/s00034-021-01706-9","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2021,4,29]]},"assertion":[{"value":"18 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 March 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 March 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 April 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}