Robust stability of quasipolynomials: vertex-type tests and extensions

We study the robust stability of uncertain quasipolynomials, whose coefficients may vary in a certain prescribed range. We consider specifically the so-called interval and diamond quasipolynomials, and our goal is to develop vertex- and edge type-conditions for these quasipolynomial families to be robustly stable independent of delay. Moreover, we also present a number of extensions to more general uncertain quasipolynomials, including both frequency-sweeping and vertex/edge type results.