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DIBLÍK, J. ŠAFAŘÍK, J. BOHÁČKOVÁ, H.
Original Title
General Solution of a Three-dimensional Linear Difference System with a Delay
Type
conference paper
Language
English
Original Abstract
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.
Keywords
Discrete system; solution; transformation
Authors
DIBLÍK, J.; ŠAFAŘÍK, J.; BOHÁČKOVÁ, H.
Released
7. 6. 2024
Publisher
AMER INST PHYSICS
Location
MELVILLE
ISBN
9780735449541
Book
AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022
0094-243X
Periodical
AIP conference proceedings
Year of study
3094
Number
1
State
United States of America
Pages from
400004-1
Pages to
400004-4
Pages count
4
URL
https://pubs.aip.org/aip/acp/article-abstract/3094/1/400004/3297150/General-solution-of-a-three-dimensional-linear?redirectedFrom=fulltext