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

By Josef Diblík, Blanka Morávková. 2014

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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.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

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