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The realization of limit-cycle free state-space digital filters is carried out by utilizing better characterization of saturation nonlinearities. The presented criterion not only ensures exponential stability but also reduces effect of external interference to a specific attenuation level. The obtained condition is in linear matrix inequality framework, so it is easily tractable. It is also shown that many results reported in literature may be retrieved as a special case from the proposed condition. With the help of numerical examples, it is shown that the presented approach provides enhanced stability region for the digital filters as compared to an existing criterion appeared in literature. <\/jats:p>","DOI":"10.1177\/0142331219865058","type":"journal-article","created":{"date-parts":[[2019,8,21]],"date-time":"2019-08-21T11:01:04Z","timestamp":1566385264000},"page":"188-197","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":19,"title":["Overflow oscillations free implementation of state-delayed digital filter with saturation arithmetic and external disturbance"],"prefix":"10.1177","volume":"42","author":[{"given":"CG","family":"Parthipan","sequence":"first","affiliation":[{"name":"Department of Electronics and Communication Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, 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