Article Contents
Article Contents

# Parametric solutions to the regulator-conjugate matrix equations

• * Corresponding author: Lingling Lv
This work is supported by the Programs of National Natural Science Foundation of China (Nos. 61402149,11501200, U1604148), Innovative Talents of Higher Learning Institutions of Henan (No. 17HASTIT023), Program for Innovative Research Team in University of Henan Province (No. 16IRTSTHN017).
• The problem of solving regulator-conjugate matrix equations is considered in this paper. The regulator-conjugate matrix equations are a class of nonhomogeneous equations. Utilizing several complex matrix operations and the concepts of controllability-like and observability-like matrices, a special solution to this problem is constructed, which includes solving an ordinary algebraic matrix. Combined with our recent results on Sylvester-conjugate matrix equations, complete solutions to regulator-conjugate matrix equations can be obtained by superposition principle. The correctness and effectiveness are verified by a numerical example.

Mathematics Subject Classification: 15A24.

 Citation:

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