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Nonlinear digital filtering finds immense applications in various fields such as adaptive systems and controllers, digital controllers and observers for nonlinear systems, realization of neural networks using digital hardware, controllers for feedback linearization, etc. Lipschitz nonlinear digital filter is considered in this paper as it is frequently employed in nonlinear digital filtering, state filtering, neural networks, feedback control, digital controllers, decision-taking systems and so on. Based on Lyapunov theory, the property of 2\u2019s complement overflow arithmetic and Lipschitz condition associated with system nonlinearities, a new criterion for the suppression of overflow oscillations in 2\u2019s complement state variable realizations of digital filters is established. Several examples along with simulation results are provided to highlight the utility of the criterion. <\/jats:p>","DOI":"10.1142\/s0218126622501109","type":"journal-article","created":{"date-parts":[[2022,2,22]],"date-time":"2022-02-22T11:02:04Z","timestamp":1645527724000},"source":"Crossref","is-referenced-by-count":3,"title":["Criterion for the Global Asymptotic Stability of Fixed-Point Lipschitz Nonlinear Digital Filter with 2\u2019s Complement Overflow Arithmetic"],"prefix":"10.1142","volume":"31","author":[{"given":"Shimpi","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}]},{"given":"Neha","family":"Agarwal","sequence":"additional","affiliation":[{"name":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}]},{"given":"Haranath","family":"Kar","sequence":"additional","affiliation":[{"name":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}]}],"member":"219","published-online":{"date-parts":[[2022,2,21]]},"reference":[{"key":"S0218126622501109BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2018.07.011"},{"key":"S0218126622501109BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085826"},{"key":"S0218126622501109BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/31.92886"},{"key":"S0218126622501109BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2018.05.006"},{"key":"S0218126622501109BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2009.10.018"},{"key":"S0218126622501109BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2004.842415"},{"key":"S0218126622501109BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1985.1085676"},{"key":"S0218126622501109BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1979.1084587"},{"key":"S0218126622501109BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1978.1163114"},{"key":"S0218126622501109BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1987.1086118"},{"key":"S0218126622501109BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.11.022"},{"key":"S0218126622501109BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.08.014"},{"key":"S0218126622501109BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.08.015"},{"key":"S0218126622501109BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.08.017"},{"key":"S0218126622501109BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.04.008"},{"key":"S0218126622501109BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.09.054"},{"key":"S0218126622501109BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-019-01097-y"},{"key":"S0218126622501109BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/81.199861"},{"key":"S0218126622501109BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2010.12.001"},{"key":"S0218126622501109BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2017.05.004"},{"key":"S0218126622501109BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2012.01.004"},{"key":"S0218126622501109BIB023","doi-asserted-by":"publisher","DOI":"10.1177\/0142331216680287"},{"key":"S0218126622501109BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2017.12.036"},{"key":"S0218126622501109BIB025","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2019.2918788"},{"key":"S0218126622501109BIB026","doi-asserted-by":"publisher","DOI":"10.1177\/0142331219865058"},{"key":"S0218126622501109BIB027","doi-asserted-by":"publisher","DOI":"10.1177\/0142331218759597"},{"key":"S0218126622501109BIB028","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-020-01561-0"},{"key":"S0218126622501109BIB029","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2012.2206341"},{"key":"S0218126622501109BIB030","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2008.2007551"},{"key":"S0218126622501109BIB031","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2163169"},{"key":"S0218126622501109BIB032","doi-asserted-by":"publisher","DOI":"10.1109\/87.974335"},{"key":"S0218126622501109BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2018.06.026"},{"key":"S0218126622501109BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.01.024"},{"key":"S0218126622501109BIB035","first-page":"2219","volume":"64","author":"Aranda L. 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