Control of Linear Systems with Regulation and Input Constraints
Control of Linear Systems with Regulation and Input Constraints
On the Computation of the Restricted Singular Value Decomposition via the Cosine-Sine Decomposition
SIAM Journal on Matrix Analysis and Applications
On Iterative Solutions of General Coupled Matrix Equations
SIAM Journal on Control and Optimization
Ranks of Solutions of the Linear Matrix Equation AX+YB=C
Computers & Mathematics with Applications
Extremal Ranks of Some Symmetric Matrix Expressions with Applications
SIAM Journal on Matrix Analysis and Applications
Computers & Mathematics with Applications
A recurrent neural network for solving Sylvester equation with time-varying coefficients
IEEE Transactions on Neural Networks
Hi-index | 22.14 |
In this paper, we give some necessary and sufficient solvability conditions for the mixed Sylvester matrix equations, and parameterize general solution when it is solvable. Moreover, we investigate the maximal and minimal ranks of the general solution, and maximal and minimal ranks and inertias of Hermitian part of solution, respectively.