Journal
DIGITAL SIGNAL PROCESSING
Volume 21, Issue 2, Pages 262-269Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.dsp.2010.06.010
Keywords
Linear matrix inequality; Lyapunov stability; Nonlinear systems; Robust stability; 2-D systems; Uncertain systems
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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. (C) 2010 Elsevier Inc. All rights reserved.
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