Sıngh, VımalSingh, VimalDepartment of Mechatronics Engineering2024-07-052024-07-052012300165-16841872-755710.1016/j.sigpro.2011.07.0122-s2.0-80052281933https://doi.org/10.1016/j.sigpro.2011.07.012https://hdl.handle.net/20.500.14411/1280A new criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model using saturation arithmetic is presented. The criterion is a generalization over an earlier criterion due to Liu and Michel. The generalized criterion has the feature that Lyapunov matrix P is not restricted to be symmetric, i.e., P can be even unsymmetric. A modified form of the criterion is also presented. Two examples showing the effectiveness of the generalized approach to yield new 2-D stability results are provided. To the best of author's knowledge, the use of unsymmetric P to obtain new 2-D stability conditions (i.e., conditions which are outside the scope of symmetric P) is demonstrated, for first time, in this paper. (C) 2011 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessAsymptotic stabilityFinite word length effectLyapunov methodMultidimensional systemNonlinear system2-D discrete systemArticleQ2921240247WOS:000296127700024