User login


You are here

Robust Stability at the Swallowtail Singularity

Oleg Kirillov's picture

Consider the set of monic fourth-order real polynomials transformed so that the constant term is one. In the three-dimensional space of the coefficients describing this set, the domain of asymptotic stability is bounded by a surface with the Whitney umbrella singularity. The maximum of the real parts of the roots of these polynomials is globally minimized at the Swallowtail singular point of the discriminant surface of the set corresponding to a negative real root of multiplicity four. Motivated by this example, we review in Frontiers in Physics   recent works on robust stability, abscissa optimization, heavily damped systems, dissipation-induced instabilities, and eigenvalue dynamics in order to point out some connections that appear to be not widely known.

Subscribe to Comments for "Robust Stability at the Swallowtail Singularity"

Recent comments

More comments


Subscribe to Syndicate