{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T20:40:03Z","timestamp":1747255203030,"version":"3.40.5"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2025,2,9]],"date-time":"2025-02-09T00:00:00Z","timestamp":1739059200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,2,9]],"date-time":"2025-02-09T00:00:00Z","timestamp":1739059200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1007\/s00034-025-03006-y","type":"journal-article","created":{"date-parts":[[2025,2,9]],"date-time":"2025-02-09T18:47:01Z","timestamp":1739126821000},"page":"3899-3911","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Delay Variation Rate Dependent Stability Analysis of Discrete-Time Systems Influenced by Overflow and Quantization Nonlinearities"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-0169-4363","authenticated-orcid":false,"given":"Rahul","family":"Prakash","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Siva Kumar","family":"Tadepalli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Priyanka","family":"Kokil","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V. Krishna Rao","family":"Kandanvli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haranath","family":"Kar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,2,9]]},"reference":[{"key":"3006_CR1","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1016\/j.dsp.2014.02.006","volume":"28","author":"N Agarwal","year":"2014","unstructured":"N. Agarwal, H. Kar, An improved criterion for the global asymptotic stability of fixed-point state-space digital filters with combinations of quantization and overflow. Digit. Signal Process. 28, 136\u2013143 (2014)","journal-title":"Digit. Signal Process."},{"issue":"11","key":"3006_CR2","doi-asserted-by":"publisher","first-page":"4959","DOI":"10.1007\/s00034-019-01097-y","volume":"38","author":"N Agarwal","year":"2019","unstructured":"N. Agarwal, H. Kar, Improved criterion for robust stability of discrete-time state-delayed systems with quantization\/overflow nonlinearities. Circuits Syst. Signal Process. 38(11), 4959\u20134980 (2019)","journal-title":"Circuits Syst. Signal Process."},{"issue":"2","key":"3006_CR3","first-page":"796","volume":"70","author":"N Agarwal","year":"2022","unstructured":"N. Agarwal, H. Kar, Novel global asymptotic stability conditions for discrete-time systems with time-varying delay and generalized overflow arithmetic. IEEE Trans. Circuits Syst. II Express Briefs 70(2), 796\u2013800 (2022)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"11","key":"3006_CR4","doi-asserted-by":"publisher","first-page":"4856","DOI":"10.1109\/TFUZZ.2022.3162104","volume":"30","author":"WH Chen","year":"2022","unstructured":"W.H. Chen, C.K. Zhang, K.Y. Xie et al., Delay-variation-dependent criteria on stability and stabilization for discrete-time T-S Fuzzy systems with time-varying delays. IEEE Trans. Fuzzy Syst. 30(11), 4856\u20134866 (2022)","journal-title":"IEEE Trans. Fuzzy Syst."},{"doi-asserted-by":"crossref","unstructured":"P.K. Gupta, K. Singh, V.K.R. Kandanvli, et\u00a0al., New criterion for the stability of discrete-time systems with state saturation and time-varying delay. J. Control Autom. Electr. Syst. 1\u20139 (2023)","key":"3006_CR5","DOI":"10.1007\/s40313-023-01005-5"},{"issue":"10","key":"3006_CR6","doi-asserted-by":"publisher","first-page":"2372","DOI":"10.1109\/TAC.2008.2007522","volume":"53","author":"Y He","year":"2008","unstructured":"Y. He, M. Wu, G.P. Liu et al., Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Trans. Autom. Control 53(10), 2372\u20132377 (2008)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"05","key":"3006_CR7","doi-asserted-by":"publisher","first-page":"2250042","DOI":"10.1142\/S0219477522500420","volume":"21","author":"S Jogi","year":"2022","unstructured":"S. Jogi, P. Kokil, An optimal $${H}_{\\infty }$$ approach for local stability analysis of nonlinear digital systems with saturation nonlinearity and external interference. Fluctuat. Noise Lett. 21(05), 2250042 (2022)","journal-title":"Fluctuat. Noise Lett."},{"issue":"14","key":"3006_CR8","doi-asserted-by":"publisher","first-page":"1611","DOI":"10.1002\/rnc.1654","volume":"21","author":"VKR Kandanvli","year":"2011","unstructured":"V.K.R. Kandanvli, H. Kar, Delay-dependent LMI condition for global asymptotic stability of discrete-time uncertain state-delayed systems using quantization\/overflow nonlinearities. Int. J. Robust Nonlinear Control 21(14), 1611\u20131622 (2011)","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"3","key":"3006_CR9","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1007\/s40313-024-01074-0","volume":"35","author":"SKM Kanithi","year":"2024","unstructured":"S.K.M. Kanithi, V.K.R. Kandanvli, H. Kar, Limit cycle-free realization of interfered discrete-time systems with time-varying delay and saturation. J. Control Autom. Electr. Syst. 35(3), 461\u2013473 (2024)","journal-title":"J. Control Autom. Electr. Syst."},{"issue":"11","key":"3006_CR10","doi-asserted-by":"publisher","first-page":"2667","DOI":"10.1016\/j.sigpro.2011.05.010","volume":"91","author":"H Kar","year":"2011","unstructured":"H. Kar, Asymptotic stability of fixed-point state-space digital filters with combinations of quantization and overflow nonlinearities. Signal Process. 91(11), 2667\u20132670 (2011)","journal-title":"Signal Process."},{"issue":"Suppl 6","key":"3006_CR11","doi-asserted-by":"publisher","first-page":"15187","DOI":"10.1007\/s10586-018-2530-3","volume":"22","author":"P Kokil","year":"2019","unstructured":"P. Kokil, C. Parthipan, S. Jogi et al., Criterion for realizing state-delayed digital filters subjected to external interference employing saturation arithmetic. Clust. Comput. 22(Suppl 6), 15187\u201315194 (2019)","journal-title":"Clust. Comput."},{"key":"3006_CR12","first-page":"149","volume":"320","author":"W Kwon","year":"2018","unstructured":"W. Kwon, B. Koo, S.M. Lee, Novel Lyapunov\u2013Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems. Appl. Math. Comput. 320, 149\u2013157 (2018)","journal-title":"Appl. Math. Comput."},{"issue":"7","key":"3006_CR13","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1109\/TCSII.2012.2198983","volume":"59","author":"T Li","year":"2012","unstructured":"T. Li, W.X. Zheng, New stability criterion for fixed-point state-space digital filters with generalized overflow arithmetic. IEEE Trans. Circuits Syst. II Express Briefs 59(7), 443\u2013447 (2012)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"3006_CR14","doi-asserted-by":"publisher","first-page":"905","DOI":"10.1007\/s00034-012-9480-4","volume":"32","author":"MS Mahmoud","year":"2013","unstructured":"M.S. Mahmoud, Stabilization of interconnected discrete systems with quantization and overflow nonlinearities. Circuits Syst. Signal Process. 32, 905\u2013917 (2013)","journal-title":"Circuits Syst. Signal Process."},{"issue":"11","key":"3006_CR15","doi-asserted-by":"publisher","first-page":"6951","DOI":"10.1016\/j.jfranklin.2020.04.052","volume":"357","author":"PT Nam","year":"2020","unstructured":"P.T. Nam, T.H. Luu, A new delay-variation-dependent stability criterion for delayed discrete-time systems. J. Frankl. Inst. 357(11), 6951\u20136967 (2020)","journal-title":"J. Frankl. Inst."},{"issue":"5","key":"3006_CR16","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1016\/j.jfranklin.2015.02.004","volume":"352","author":"PT Nam","year":"2015","unstructured":"P.T. Nam, P.N. Pathirana, H. Trinh, Discrete Wirtinger-Based inequality and its application. J. Frankl. Inst. 352(5), 1893\u20131905 (2015)","journal-title":"J. Frankl. Inst."},{"issue":"1","key":"3006_CR17","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/s00034-023-02465-5","volume":"43","author":"S Pandey","year":"2024","unstructured":"S. Pandey, S.K. Tadepalli, S. Bhusnur et al., Improved stability and passivity results for discrete time-delayed systems with saturation nonlinearities and external disturbances. Circuits Syst. Signal Process. 43(1), 103\u2013123 (2024)","journal-title":"Circuits Syst. Signal Process."},{"issue":"10","key":"3006_CR18","doi-asserted-by":"publisher","first-page":"5765","DOI":"10.1007\/s00034-022-02052-0","volume":"41","author":"C Parthipan","year":"2022","unstructured":"C. Parthipan, P. Kokil, Delay-dependent stability analysis of interfered digital filters with time-varying delay and saturation nonlinearities. Circuits Syst. Signal Process. 41(10), 5765\u20135784 (2022)","journal-title":"Circuits Syst. Signal Process."},{"issue":"1","key":"3006_CR19","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1177\/0142331214562020","volume":"38","author":"SK Tadepalli","year":"2016","unstructured":"S.K. Tadepalli, V.K.R. Kandanvli, Improved stability results for uncertain discrete-time state-delayed systems in the presence of nonlinearities. Trans. Inst. Meas. Control. 38(1), 33\u201343 (2016)","journal-title":"Trans. Inst. Meas. Control."},{"issue":"9","key":"3006_CR20","doi-asserted-by":"publisher","first-page":"2868","DOI":"10.1177\/0142331217709067","volume":"40","author":"SK Tadepalli","year":"2018","unstructured":"S.K. Tadepalli, V.K.R. Kandanvli, A. Vishwakarma, Criteria for stability of uncertain discrete-time systems with time-varying delays and finite wordlength nonlinearities. Trans. Inst. Meas. Control. 40(9), 2868\u20132880 (2018)","journal-title":"Trans. Inst. Meas. Control."},{"key":"3006_CR21","doi-asserted-by":"publisher","first-page":"2575","DOI":"10.1109\/LCSYS.2022.3170512","volume":"6","author":"L Van Hien","year":"2022","unstructured":"L. Van Hien, Delay-dependent positivity and stability analysis of discrete-time systems with delay. IEEE Control Syst. Lett. 6, 2575\u20132580 (2022)","journal-title":"IEEE Control Syst. Lett."},{"issue":"12","key":"3006_CR22","doi-asserted-by":"publisher","first-page":"7221","DOI":"10.1002\/rnc.6752","volume":"33","author":"S Wang","year":"2023","unstructured":"S. Wang, S. Zheng, C.K. Ahn et al., Event-triggered cooperative control for uncertain multi-agent systems and applications. Int. J. Robust Nonlinear Control 33(12), 7221\u20137245 (2023)","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"12","key":"3006_CR23","doi-asserted-by":"publisher","first-page":"4955","DOI":"10.1016\/j.jfranklin.2017.05.005","volume":"354","author":"M Wu","year":"2017","unstructured":"M. Wu, C. Peng, J. Zhang et al., Further results on delay-dependent stability criteria of discrete systems with an interval time-varying delay. J. Frankl. Inst. 354(12), 4955\u20134965 (2017)","journal-title":"J. Frankl. Inst."},{"issue":"1","key":"3006_CR24","first-page":"141","volume":"66","author":"W Xia","year":"2018","unstructured":"W. Xia, W.X. Zheng, S. Xu, Realizability condition for digital filters with time delay using generalized overflow arithmetic. IEEE Trans. Circuits Syst. II Express Briefs 66(1), 141\u2013145 (2018)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"doi-asserted-by":"crossref","unstructured":"B. Zhang, J. Zhang, Y. Li, On Delay-Dependent asymptotic stability of polytopic time-varying systems with delays. Proceedings of the 33rd Chinese Control Conference, pp 6000\u20136005 (2014)","key":"3006_CR25","DOI":"10.1109\/ChiCC.2014.6895969"},{"issue":"9","key":"3006_CR26","doi-asserted-by":"publisher","first-page":"2663","DOI":"10.1109\/TAC.2015.2503047","volume":"61","author":"CK Zhang","year":"2015","unstructured":"C.K. Zhang, Y. He, L. Jiang et al., Delay-variation-dependent stability of delayed discrete-time systems. IEEE Trans. Autom. Control 61(9), 2663\u20132669 (2015)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"10","key":"3006_CR27","first-page":"2099","volume":"67","author":"CK Zhang","year":"2019","unstructured":"C.K. Zhang, K.Y. Xie, Y. He et al., An improved stability criterion for digital filters with generalized overflow arithmetic and time-varying delay. IEEE Trans. Circuits Syst. II Express Briefs 67(10), 2099\u20132103 (2019)","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"5","key":"3006_CR28","doi-asserted-by":"publisher","first-page":"935","DOI":"10.1080\/00207179.2023.2181733","volume":"97","author":"H Zhang","year":"2024","unstructured":"H. Zhang, Z. Xiang, Finite-time robust adaptive stabilisation of input saturated time-delay nonlinear systems. Int. J. Control 97(5), 935\u2013945 (2024)","journal-title":"Int. J. Control"},{"key":"3006_CR29","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109390","volume":"125","author":"XM Zhang","year":"2021","unstructured":"X.M. Zhang, Q.L. Han, X. Ge, Sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and application to $${H}_\\infty $$ filtering for linear systems with time-varying delays. Automatica 125, 109390 (2021). https:\/\/doi.org\/10.1016\/j.automatica.2020.109390","journal-title":"Automatica"},{"key":"3006_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.110010","volume":"136","author":"XM Zhang","year":"2022","unstructured":"X.M. Zhang, Q.L. Han, X. Ge, A novel approach to $${H}_\\infty $$ performance analysis of discrete-time networked systems subject to network-induced delays and malicious packet dropouts. Automatica 136, 110010 (2022)","journal-title":"Automatica"},{"key":"3006_CR31","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110592","volume":"147","author":"XM Zhang","year":"2023","unstructured":"X.M. Zhang, Q.L. Han, X. Ge et al., Stability analysis of delayed discrete-time systems based on a delay-square-dependent lyapunov functional. Automatica 147, 110592 (2023)","journal-title":"Automatica"},{"issue":"3","key":"3006_CR32","doi-asserted-by":"publisher","first-page":"1185","DOI":"10.1109\/TAC.2018.2846679","volume":"64","author":"J Zheng","year":"2018","unstructured":"J. Zheng, L. Xu, L. Xie et al., Consensusability of discrete-time multiagent systems with communication delay and packet dropouts. IEEE Trans. Autom. Control 64(3), 1185\u20131192 (2018)","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\/s00034-025-03006-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-025-03006-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-025-03006-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T20:10:11Z","timestamp":1747253411000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-025-03006-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,9]]},"references-count":32,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["3006"],"URL":"https:\/\/doi.org\/10.1007\/s00034-025-03006-y","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2025,2,9]]},"assertion":[{"value":"29 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 January 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 January 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 February 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest, and this work has not received funding from any agency.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}