Singh, VimalDepartment of Mechatronics Engineering2024-07-052024-07-0520100096-30031873-564910.1016/j.amc.2010.08.0232-s2.0-77958008383https://doi.org/10.1016/j.amc.2010.08.023https://hdl.handle.net/20.500.14411/1609systematic and computationally tractable (i.e., linear matrix inequality based) approach to the global asymptotic stability of a class of discrete-time systems, implemented with fixed-point arithmetic, utilizing a very strong nonlinearity (which is produced by employing two's complement overflow arithmetic) is presented. Application of the approach to second-order digital filter is discussed. Two third-order examples illustrating the effectiveness of the approach are given. (C) 2010 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessAsymptotic stabilityDiscrete-time dynamical systemDigital filterFinite word length effectLimit cycleLyapunov methodArticleQ1217628772882WOS:0002830493000615