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International Journal of Advanced Technology and Engineering Exploration (IJATEE)

ISSN (Print):2394-5443    ISSN (Online):2394-7454
Volume-9 Issue-91 June-2022
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Paper Title : Stability of uncertain 2-D discrete delayed systems with saturation
Author Name : Dinesh Chaurasia, Kalpana Singh, V. Krishna Rao Kandanvli and Haranath Kar
Abstract :

Based on the Roesser model with saturation nonlinearities (SNL) and time-varying delays (TVDs), this paper studies the global asymptotic stability (GAS) of two-dimensional (2-D) uncertain discrete systems (DSs). The underlying system involves norm-bounded parameter uncertainties. By utilizing the idea of Wirtinger-based inequality (WBI) with reciprocal convex inequality (RCI), a new criterion is derived to ensure the GAS of 2-D systems. Numerical examples demonstrate the advantages of the proposed method. With the MATLAB software and YALMIP 3.0, it is found that the obtained criterion provides less stringent results than an existing criterion.
Keywords : 2-D discrete system, Reciprocal convex inequality, Saturation nonlinearity, Time-varying delay, Wirtinger-based.
Cite this article : Chaurasia D, Singh K, Kandanvli VK, Kar H. Stability of uncertain 2-D discrete delayed systems with saturation. International Journal of Advanced Technology and Engineering Exploration. 2022; 9(91):771-787. DOI:10.19101/IJATEE.2021.875259.
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