LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities

Authors:
Anurita Dey;Haranath Kar
Affiliations:
Department of Electronics and Communication Engineering,Motilal Nehru National Institute of Technology, Allahabad, India;Department of Electronics and Communication Engineering,Motilal Nehru National Institute of Technology, Allahabad, India
Venue:
Journal of Control Science and Engineering
Year:
2011

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Abstract

This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, linear-matrix-inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.