This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k+1) = Aox(k)+A1x((k-1). These new, delay-independent conditions are derived using approach based on Lyapunov’s direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.
Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System
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Debeljkovic, DL, Milinkovic, SA, Stojanovic, SB, & Jovanovic, MB. "Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System." Proceedings of the ASME 7th Biennial Conference on Engineering Systems Design and Analysis. Volume 1. Manchester, England. July 19–22, 2004. pp. 781-786. ASME. https://doi.org/10.1115/ESDA2004-58283
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