A coupled quaternion matrix equations with applications

• Published in: Journal of applied mathematics & computing Vol. 69; no. 5; pp. 4069 - 4089
• Main Authors: Liu, Long-Sheng, Zhang, Shuo
• Format: Journal Article
• Language: English
• 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

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...