Dr. Simon Lam

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

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Real controllability radius of higher-order, descriptor, and time-delay LTI systems

Simon Lam and Edward J. Davison

Abstract

In this paper, we study the real controllability radius of higher-order linear time-invariant (LTI) systems, LTI descriptor systems, and time-delay LTI systems. The various radii are defined in terms of real parametric perturbations, and computable formulas are derived using generalized real perturbation values of matrix pairs.