Singh, VimalDepartment of Mechatronics Engineering2024-07-052024-07-0520100005-10981873-283610.1016/j.automatica.2009.11.0222-s2.0-74149091464https://doi.org/10.1016/j.automatica.2009.11.022https://hdl.handle.net/20.500.14411/1481A criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessAsymptotic stabilityDigital filtersDiscrete-time dynamical systemsFinite word length effectsLyapunov methodNonlinear systemsArticleQ1462475478WOS:00027475840003027