Representation of solutions of linear discrete systems with constant coefficients and pure delay

By Josef Diblík, D. Khusainov. 2006

83 citations recorded by the source corpus.

The purpose of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and with pure delay. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential having between every two adjoining knots the form of a polynomial. These polynomials have increasing degrees in the right direction. Such approach results in a possibility to express initial Cauchy problem in the closed form.

Subfields: Control and Systems Engineering, Mechanical Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/6c57c0a83afe119594245f8012cdf4214048fe07

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Blanka Morávková
2. Josef Diblík

In Mechanical Engineering

1. Blanka Morávková
2. Josef Diblík

In Numerical Analysis

1. Blanka Morávková
2. Josef Diblík

Citations in the corpus

• Representation of the Solutions of Linear Discrete Systems with Constant Coefficients and Two Delays (2014, methodology): “In these constructions, the main property (Theorem 2) of discrete matrix delayed exponential for a single delay m ∈ N was utilized in [1].”