Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach

Authors:
Anurita Dey;Haranath Kar
Affiliations:
Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad-211004, India;Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad-211004, India
Venue:
Digital Signal Processing
Year:
2011

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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.