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arXiv · 1803.00481

A Bound for the Rank-One Transient of Inhomogeneous Matrix Products in Special Case

Arthur Kennedy Cochran Patrick·Sergei Sergeev·Štefan Berežný
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Abstract

We consider inhomogeneous matrix products over max-plus algebra, where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length be rank-one, as it was shown in [6][L. Shue, B.D.O. Anderson, S. Dey: On steady state properties of certain max-plus products. Proceedings of the American Control Conference, Philadelphia, Pensylvania, (June 1998), 1909 1913.]. We establish a bound on the transient after which this starts to happen for any product of matrices whose length exceeds that bound.

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Arthur Kennedy Cochran Patrick, Sergei Sergeev, Štefan Berežný. 2019-04-12. A Bound for the Rank-One Transient of Inhomogeneous Matrix Products in Special Case. https://doi.org/10.14736/kyb-2019-1-0012

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