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A fast algorithm to compute the real structured stability radius

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Sreedhar, J. [UIUC] Van Dooren, Paul [UCL] Tits, A.L. [Univ Maryland]

We describe a fast algorithm to compute the real structured stability radius with respect to the open left-half plane or the open unit disk. It is based on a recent formula proved by Qiu et al. (Automatica, vol. 31, pp. 879-890, 1995) and the well-known correspondence between the singular values of a transfer function matrix and the imaginary eigenvalues of a related Hamiltonian matrix. Numerical tests suggest that its local convergence is quadratic.

Document type Contribution à ouvrage collectif (Book Chapter)
Publication date 1996
Language Anglais
Host document "Int. Series of Numer. Math."- p. 219-230 (ISBN : 978-3-7643-5474-9)
Edition statement Birkhauser
Publication status Publié
Affiliations UIUC - ECE
UCL - FSA/INMA - Département d'ingénierie mathématique
Univ Maryland - EE Dept
Links
Bibliographic reference Sreedhar, J. ; Van Dooren, Paul ; Tits, A.L.. A fast algorithm to compute the real structured stability radius. In: Int. Series of Numer. Math.,  1996, p. 219-230
Permanent URL http://hdl.handle.net/2078.1/80755