A coupled quaternion matrix equations with applications

Linear coupled matrix equations are implemented in various domains, including stability analysis of control systems and robust control. The solvability requirements and the solution of the linear coupled system were established in this study. Additionally, as applications of the system, we investiga...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 69; no. 5; pp. 4069 - 4089
Main Authors Liu, Long-Sheng, Zhang, Shuo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023
Springer Nature B.V
Subjects
Algorithms
Computational Mathematics and Numerical Analysis
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Quaternions
Robust control
Stability analysis
Theory of Computation
15A24
Quaternion
15A23
15A33
Matrix equations
Moore–Penrose
Rank
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Summary:Linear coupled matrix equations are implemented in various domains, including stability analysis of control systems and robust control. The solvability requirements and the solution of the linear coupled system were established in this study. Additionally, as applications of the system, we investigate the linear coupled quaternion system to be compatible and deduce the solvability criteria for matrix equations, including Hermicity. An algorithm and an example are given to illustrate the main results.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-023-01916-1