Speaker: Prof. Miloud Sadkane (CNRS – UMR 6205, Laboratoire de Mathématiques de Bretagne Atlantique, Université de Brest  (France))
Title: On the stability radius for linear time-delay systems

Abstract: In this talk, an algorithm is proposed to compute the stability radius of a linear time-delay differential system. The exponential factor in the characteristic equation is replaced by its Padé approximant. This reduces the computation to that of imaginary eigenvalues of special matrix polynomials.  A bisection method is then used to compute lower and upper bounds of the stability radius. The algorithmic aspects are discussed and illustrated numerically.