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A coupled quaternion matrix equations with applications

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Abstract

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.

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  1. School of Mathematics and Computation, Anqing Normal University, No. 1318 Jixian North Road, Anqing, 246011, Anhui, People’s Republic of China

    Long-Sheng Liu & Shuo Zhang

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  1. Long-Sheng Liu
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Liu, LS., Zhang, S. A coupled quaternion matrix equations with applications. J. Appl. Math. Comput. 69, 4069–4089 (2023). https://doi.org/10.1007/s12190-023-01916-1

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