Title :
Edge test for domain stability of polytopes of two-dimensional (2D) polynomials
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
Abstract :
The necessary and sufficient conditions of domain stability of polytopes of 2D polynomials are established. The conditions are based on the edge theorem and convex directions. The number of edges to be tested can be reduced by the testing set constructed by us. An example is given to demonstrate the applicability of our new approach
Keywords :
multidimensional systems; polynomials; stability; uncertain systems; 2D polynomials; 2D systems; domain stability; edge test; edge theorem; necessary condition; polytopes; sufficient condition; uncertain systems; Bismuth; Difference equations; Indexing; Information science; Partial differential equations; Polynomials; Robust stability; Sufficient conditions; Testing; Two dimensional displays;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914560
