Title :
A New Trace Bound for a General Square Matrix Product
Author :
Liu, Jianzhou ; He, Lingli
Author_Institution :
Dept. of Math., Xiangtan Univ., Hunan
Abstract :
Using the correlated properties between the diagonal element and the singular value of the matrix, we propose new trace bounds for the product of two arbitrary real square matrices and improve the recent results
Keywords :
Lyapunov matrix equations; Riccati equations; control system synthesis; optimal control; singular value decomposition; stability; Lyapunov equation; algebraic Riccati equation; general square matrix product; optimal control; singular value matrix; stability; trace bound; Cost function; Eigenvalues and eigenfunctions; Helium; Linear matrix inequalities; Mathematics; Optimal control; Regulators; Riccati equations; Stability; Symmetric matrices; Eigenvalue; singular value; trace inequality;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.890375
