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

被引：0

作者：

Diblik, Josef ^{[1
]}

Safarik, Jan ^{[1
]}

Halfarova, Hana ^{[1
]}

机构：

[1] Brno Univ Technol, Fac Civil Engn, Dept Math & Descript Geometry, Veveri 331-95, Brno 60200, Czech Republic

来源：

INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022 | 2024年 / 3094卷

关键词：

CONSTANT-COEFFICIENTS; DISCRETE-SYSTEMS;

D O I：

10.1063/5.0210165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：4

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