General Solution of a Three-dimensional Linear Difference System with a Delay

článek ve sborníku ve WoS nebo Scopus

angličtina

The paper analyzes a partial case of a delayed linear three-dimensional discrete system z(k+ 1) = Az(k) + Bz(k-1) + U(k), k = 0, 1,..., where A and B are constant 3 by 3 matrices, U: {0, 1,...} -> R-3 and z: {-1, 0,...} -> R-3. Matrices A, B and function U are specified in such a way that the system is a discrete analogue of a differential model of the Mach number dynamics concerning a time-optimal control of a high-speed closed-circuit wind tunnel. The general solution is found by transforming this system into a solvable non-delayed one.

Discrete system; solution; transformation

DIBLÍK, J.; ŠAFAŘÍK, J.; BOHÁČKOVÁ, H.

7. 6. 2024

AMER INST PHYSICS

MELVILLE

9780735449541

AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022

0094-243X

AIP conference proceedings

3094

1

Spojené státy americké

400004-1

400004-4

4

https://pubs.aip.org/aip/acp/article-abstract/3094/1/400004/3297150/General-solution-of-a-three-dimensional-linear?redirectedFrom=fulltext