Dr. Simon Lam

B.A.Sc. (2003), M.A.Sc. (2005), Ph.D. (2010), University of Toronto, Canada.

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Generalized real perturbation values with applications to the structured real controllability radius of LTI systems

Simon Lam and Edward J. Davison

Abstract

This paper generalizes the notion of real perturbation values of a complex matrix to account for a more general perturbation structure. Formulas for computing the so-called "generalized real perturbation values" of a matrix are derived and presented. Using these results, we revisit the computation of the structured real controllability radius that was previously used to evaluate the robustness of the multi-link inverted pendulum system, and we also study a new normalized version of the transmission zero at s radius.