Publication detail

On the number of arbitrary parameters in the general solution to a weakly delayed planar linear discrete system with constant coefficients

HALFAROVÁ, H. DIBLÍK, J. ŠAFAŘÍK, J.

Original Title

On the number of arbitrary parameters in the general solution to a weakly delayed planar linear discrete system with constant coefficients

Type

conference paper

Language

English

Original Abstract

A planar linear discrete system with constant coefficients and two delays x(k + 1) = Ax(k) + Bx(k − m) + Cx(k − n) is considered where k ∈ Z. It is assumed that the system is weakly delayed and the eigenvalues of the matrix A are real and different. The formula for a general solution of the system is well-known and depends on 2(m + 1) initial values. This formula can be simplified to depend only on 2 arbitrary constants. A relation between the initial values and new arbitrary constants is given.

Keywords

planar linear discrete system; constant coefficients; two delays; initial values

Authors

HALFAROVÁ, H.; DIBLÍK, J.; ŠAFAŘÍK, J.

Released

24. 11. 2020

Publisher

American Institute of Physics

Location

Melville (USA)

ISBN

978-0-7354-4025-8

Book

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019)

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2293

Number

1

State

United States of America

Pages from

340008-1

Pages to

340008-4

Pages count

4

URL