An LMI based criterion for the global asymptotic stability of 2-D discrete state-delayed systems with saturation nonlinearities

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:
2012

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Abstract

This paper deals with the problem of global asymptotic stability of a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model in presence of saturation nonlinearities and state delays in each of the two independent directions of information propagation. A linear matrix inequality (LMI) based criterion for the global asymptotic stability of such systems is presented. It is shown that several previously reported stability criteria for 2-D discrete FMSLSS model with saturation nonlinearities are recovered from the presented approach as special cases.