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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共 38 条
  • [1] Ulam-Hyers stability of Caputo fractional difference equations
    Chen, Churong
    Bohner, Martin
    Jia, Baoguo
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7461 - 7470
  • [2] HYERS-ULAM STABILITY FOR LINEAR QUATERNION-VALUED DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENT
    Chen, Dan
    Feckan, Michal
    Wang, JinRong
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1237 - 1250
  • [3] Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability
    Chen, Dan
    Feckan, Michal
    Wang, JinRong
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (11)
  • [4] RELATIVE CONTROLLABILITY OF QUATERNION DIFFERENTIAL EQUATIONS WITH DELAY
    Fu, Teng
    Kou, Kit Ian
    Wang, Jinrong
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (05) : 2927 - 2952
  • [5] Representation of Solutions to Linear Quaternion Differential Equations With Delay
    Fu, Teng
    Kou, Kit Ian
    Wang, JinRong
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
  • [6] Quaternions and particle dynamics in the Euler fluid equations
    Gibbon, J. D.
    Holm, D. D.
    Kerr, R. M.
    Roulstone, I.
    [J]. NONLINEARITY, 2006, 19 (08) : 1969 - 1983
  • [7] Quaternionic Functions and Their Applications in a Viscous Fluid Flow
    Grigor'ev, Yuri
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (02) : 491 - 508
  • [8] Jung SM, 2017, J COMPUT ANAL APPL, V23, P1368
  • [9] Solve the linear quaternion-valued differential equations having multiple eigenvalues
    Kou, Kit Ian
    Liu, Wan-Kai
    Xia, Yong-Hui
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (02)
  • [10] Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
    Kou, Kit Ian
    Xia, Yong-Hui
    [J]. STUDIES IN APPLIED MATHEMATICS, 2018, 141 (01) : 3 - 45
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