Positive 2D discrete-time linear Lyapunov systems

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Abstract

Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.

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Przyborowski, P., & Kaczorek, T. (2009). Positive 2D discrete-time linear Lyapunov systems. International Journal of Applied Mathematics and Computer Science, 19(1), 95–105. https://doi.org/10.2478/v10006-009-0009-3

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