Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation

被引：0

作者：

Wang, Jiangnan ^{[1
,2
,3
]}

Wang, Jinrong ^{[1
,2
,3
]}

Liu, Rui ^{[1
,2
,3
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Univ, Supercomp Algorithm & Applicat Lab, Guiyang 550025, Guizhou, Peoples R China

[3] Guizhou Univ, Guian Sci Innovat Co, Guiyang 550025, Guizhou, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 01期

关键词：

Quaternion-valued matrix difference equations; Hyers-Ulam stability; Complex representation; FEEDBACK; ATTITUDE;

D O I：

10.1007/s12346-023-00865-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation. Then one can transfer the second-order and higher-order linear nonhomogeneous quaternion-valued difference equations into the first-order linear nonhomogeneous quaternion-valued matrix difference equations to obtain their Hyers-Ulam stability results. Finally, two examples are given to illustrate the theoretical results.

引用

页数：15

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