Details

Autor(en) / Beteiligte

• Overton, M.L.
• Van Dooren, P.

Titel

On computing the complex passivity radius

Ist Teil von

• Proceedings of the 44th IEEE Conference on Decision and Control, 2005, p.7960-7964

Ort / Verlag

IEEE

Erscheinungsjahr

2005

Quelle

IEEE Xplore

Beschreibungen/Notizen

• We characterize the complex passivity radius of a rational transfer matrix G(s):=C(sI n −A) −1 B+D and propose an approach to compute it. The method depends on computing the smallest structured indefinite perturbation to a Hermitian matrix that makes it singular. We consider both additive and multiplicative perturbations, giving details for the additive case. In both cases, the smallest indefinite perturbation can be efficiently computed by solving a unimodal optimization problem in a real parameter. The passivity radius can be computed by minimizing the smallest singularity-inducing multiplicative indefinite perturbation of a frequency-dependent matrix over the imaginary axis.