Abstract
This paper deals with the problem of global asymptotic stability of a class of uncertain discrete systems described by the Fornasini–Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The systems under investigation involve parameter uncertainties that are assumed to be deterministic and norm bounded. An LMI-based criterion for the global asymptotic stability of such systems is proposed. The proposed criterion is compared with previously reported criteria.
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