期刊
SIGNAL PROCESSING
卷 92, 期 1, 页码 240-247出版社
ELSEVIER
DOI: 10.1016/j.sigpro.2011.07.012
关键词
Asymptotic stability; Finite word length effect; Lyapunov method; Multidimensional system; Nonlinear system; 2-D discrete system
A 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.
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