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The stability cone for a difference matrix equation with two delays - MaRDI portal

The stability cone for a difference matrix equation with two delays (Q420272)

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scientific article; zbMATH DE number 6037057
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The stability cone for a difference matrix equation with two delays
scientific article; zbMATH DE number 6037057

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    The stability cone for a difference matrix equation with two delays (English)
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    21 May 2012
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    Summary: We provide geometric algorithms for checking the stability of matrix difference equations \(x_n = Ax_{n-m} + Bx_{n-k}\) with two delays \(m, k\) such that the matrix \(AB - BA\) is nilpotent. We give examples of how our results can be applied to the study of the stability of neural networks.
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    geometric algorithms
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    stability
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    matrix difference equations
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    neural networks
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