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Delay‐dependent LMI condition for global asymptotic stability of discrete‐time uncertain state‐delayed systems using quantization/overflow nonlinearities
Authors:V Krishna Rao Kandanvli  Haranath Kar
Affiliation:Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad‐211004, India
Abstract:A delay‐dependent criterion for the global asymptotic stability of a class of uncertain discrete‐time state‐delayed systems using various combinations of quantization and overflow nonlinearities is presented. The proposed criterion is in the form of a linear matrix inequality and, hence, computationally tractable. A numerical example highlighting the usefulness of the proposed criterion is given. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:delay‐dependent stability criterion  finite wordlength effects  linear matrix inequality  Lyapunov stability  state‐delayed systems  uncertain systems
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