On computing the complex passivity radius

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 7960-7964

  Overton, Michael L ^a   Van Dooren, Paul ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; MODAL ANALYSIS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

HERMITIAN MATRIX; MULTIPLICATIVE PERTURBATIONS; UNIMODAL OPTIMIZATION;

COMPUTATION THEORY;

EID: 33847137429     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1583449     Document Type: Conference Paper

References (7)

1. P. BENNER, V. MEHRMANN AND H. XU, A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils, Numerische Mathematik, vol. 78(3), pp. 329-358, 1998.
2. Y. GENIN, Y. HACHEZ, Y. NESTEROV, R. STEFAN, P. VAN DOOREN, S. XU, Positivity and linear matrix inequalities, European Journal of Control, Vol. 8(3), pp. 275-298, 2002.
3. R. BHATIA, Perturbation Bounds for Matrix Eigenvalues, Longman, Essex and Wiley, New York, 1987.
4. C. LAWRENCE, A. TITS, P. VAN DOOREN, A fast algorithm for the computation of an upper bound on the μ-norm, Automatica, vol. 36, pp. 449-456, 2000.
5. P.D. LAX, Linear Algebra, Wiley, 1996.
6. L. QIU, B. BERNHARDSSON, A. RANTZER, E.J. DAVISON, P.M. YOUNG, AND J.C. DOYLE, A formula for computation of the real stability radius, Automatica, vol. 31, pp. 879-890, 1995.
7. J. SREEDHAR, P. VAN DOOREN, A.L. TITS, A fast algorithm to compute the real structured stability radius, in Int. Series of Numer. Math., Birkhauser, vol. 121, pp. 219-230, 1996.