Abstract
In this paper we characterize the boundary ∂f( B) of the image f( B) of a box B in R m under a nonlinear mapping f: R m → C. We generalize results recently reported by Polyak and Kogan (1993) [Necessary and Sufficient Conditions for Robust Stability of Multiaffine Systems. Mathematics Research Report 93-06, University of Maryland Baltimore County] for multiaffine mappings, and provide computationally tractable necessary and sufficient robust stability conditions for quasipolynomials with interval coefficients and interval delays. A numerical stability verification for a quasipolynomial family with two interval delays is presented.
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