New upper estimates for the solution of the continuous algebraic Lyapunov equation

IEEE Transactions on Automatic Control

Volumn 49, Issue 10, 2004, Pages 1841-1842

  Savov, Svetoslav ^a   Popchev, Ivan ^a  

^a INSTITUTE OF INFORMATION TECHNOLOGIES   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; LYAPUNOV METHODS; MATRIX ALGEBRA; THEOREM PROVING;

LYAPUNOV EQUATION; MATRIX MEASURE; SCALAR SOLUTION ESTIMATES; SOLUTION BOUNDS; SOLUTION EIGENVALUES;

SYSTEM STABILITY;

EID: 7244226625     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835587     Document Type: Article

References (4)

1. N. Komaroff, "Upper summation and product bounds for solution eigenvalues of the Lyapunov matrix equation," IEEE Trans. Automat. Contr., vol. 37, pp. 1040-1042, June 1992.
2. W. H. Kwon, Y. S. Moon, and S. C. Ahn, "Bounds in algebraic Riccati and Lyapunov equations: A survey and some new results," Int. J. Control, vol. 64, no. 3, pp. 377-389, 1996.
3. Y. Fang, K. Loparo, and X. Feng, "New estimates for solution of Lyapunov equation," IEEE Trans. Automat. Contr., vol. 42, pp. 408-411, Mar. 1997.
4. W. Xing, Q. Zhang, and Q. Wang, "A trace bound for a general square matrix product," IEEE Trans. Automat. Contr., vol. 45, pp. 1563-1565, Sept. 2000.