Anderson, B. D.O.Kraus, F.Mansour, M.Dasgupta, S.2026-01-012026-01-010005-1098ORCID:/0000-0002-1493-4774/work/174739554https://hdl.handle.net/1885/733801606A number of robust stability problems take the following form. A polynomial has real coefficients which are multilinear in real parameters that are confined to a rectangular axis-parallel box in parameter space. An efficient method is required for checking the stability of this set of polynomials. We present two sufficient conditions in this paper, which can be applied in many cases. They involve checking certain properties at the corners and edges of the parameter space box.Acknowledgements-B. D. 0. Anderson wishes to acknowledge the funding of the activities of the Cooperative Research Centre for Robust and Adaptive Systemsb y the Australian CommonwealthG overnmentu nder the Cooperative Research Centres Program. The work of S. Dasgupta was supportedb y National ScienceF oundation Grants MiP 9001170E,C S 921159a3n d ECS 9350346.16enpolynomialsrobust controlStability criteria199510.1016/0005-1098(94)E0049-N0029209731