The Real Solutions of Equation of in Control Theory
. The research of matrix equations is an active research field, matrix equations have applied in many physical applications in recent years. As one of them, the equation is applied more and more extensively, such as control theory, chemistry and chemical engineering and so on. In this paper, motivated by , we give two discriminations about the real solutions of equation . The matrix is proved that it is a nonsingular solution of equation whenever are nonsingular solutions of equations at last.
Donald C. Wunsch II, Honghua Tan, Dehuai Zeng, Qi Luo
X. T. Liu "The Real Solutions of Equation of in Control Theory", Advanced Materials Research, Vols. 121-122, pp. 911-915, 2010