Edge test for domain stability of polytopes of two-dimensional (2D) polynomials

Yang Xiao
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)  
The necessary and sufficient conditions of domain stability of polytopes of 2-D polynomials have been established. The conditions are based on edge theorem and convex directions. The number of edges to be tested can be reduced by a testing set constructed by us. An example has been given to demonstrate the applicability of our new approach. Indexing terms-Polytopes of two-dimensional polynomials, robust domain stability '
doi:10.1109/cdc.2001.914560 fatcat:zx65vjlzj5d2ljxjtpqz5k2eou