AUTHORS: Guido Izuta

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ABSTRACT: This short note aims to investigate the asymptotic stability conditions for 2-d (two dimensional) discrete system whose state space representation is composed by matrices that can be simultaneously triangularizable. To accomplish it, the original system is transformed into a system with only triangular matrices. Then Lagrange solutions are assumed for this transformed system and conditions for asymptotic stability are sought.

KEYWORDS: - 2-d systems, simultaneously triangularizable matrices, asymptotic stability, Lagrange method, Lie algebra, Laffey’s theorem

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