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

被引：1
|
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.
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页数：15
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