Representation of the Solutions of Linear Discrete Systems with Constant Coefficients and Two Delays

Josef Diblík and Blanka Morávková

Abstract and Applied Analysis, 2014, vol. 2014, 1-19

Abstract:

The purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays where , are fixed, , , are constant matrices, is a given vector, and is an unknown vector. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:320476

DOI: 10.1155/2014/320476

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