Abstract
Stability analysis for a class of discrete-time two-dimensional nonlinear systems is addressed in this paper. A linear matrix inequality based sufficient condition for asymptotic stability is proposed. This condition is an analogous counterpart for two-dimensional linear systems which is shown to be easily verifiable and suitable for design problems. The result is illustrated by a numerical example.
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Shaker, H.R., Tahavori, M. Stability analysis for a class of discrete-time two-dimensional nonlinear systems. Multidim Syst Sign Process 21, 293–299 (2010). https://doi.org/10.1007/s11045-010-0106-3
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DOI: https://doi.org/10.1007/s11045-010-0106-3