论文信息 - A common solution to a pair of linear matrix equations over a principal ideal domain

A common solution to a pair of linear matrix equations over a principal ideal domain

Abstract A necessary and sufficient condition for the existence of a common solution to a pair of linear matrix equations over a principal ideal domain is obtained. The equations are of the type A i = B i XC i for i = 1,2. The solvability condition is that the equations each have a solution and a bilateral linear matrix equation made up of the matrices A i , B i , and C i has a solution.

Nail Akar | A. Bülent Özgüler | A. B. Özgüler | N. Akar

[1] Shankar P. Bhattacharyya,et al. Transfer function conditions for (C',A,B) pairs , 1984 .

[2] J. Woude,et al. Almost non-interacting control by measurement feedback , 1987 .

[3] William A. Wolovich,et al. Skew prime polynomial matrices , 1978 .

[4] P. Khargonekar,et al. Regulator problem with internal stability: A frequency domain solution , 1984 .

[5] Vasfi Eldem,et al. Disturbance decoupling problems by measurements feedback: a characterization of all solutions and fixed modes , 1988 .

[6] Sujit Kumar Mitra. Common solutions to a pair of linear matrix equations A 1 XB 1 = C 1 and A 2 XB 2 = C 2 , 1973 .

[7] V. Kučera,et al. Discrete Linear Control: The Polynomial Equation Approach , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[8] A. Ozguler,et al. Disturbance decoupling problems via dynamic output feedback , 1985 .

[9] William A. Wolovich,et al. Output regulation and tracking in linear multivariable systems , 1978 .

[10] M. Vidyasagar. Control System Synthesis : A Factorization Approach , 1988 .