2010/01/02 by Junwei Shao, Shao, Junwei, Xiaorong Hou +1
Computer Science · Engineering · #FOS: Computer and information sciences #Matrix Theory and Algorithms #Polynomial and algebraic computation #Stability and Control of Uncertain Systems #Symbolic Computation (cs.SC) #cs.SC
paper · pdf · doi:10.48550/arxiv.1001.0304
8 pages
arxiv created 2010/01/02 · openalex publication_date 2010/01/02 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a novel method for checking the Hurwitz stability of a polytope of matrices. First we prove that the polytope matrix is stable if and only if two homogenous polynomials are positive on a simplex, then through a newly proposed method, i.e., the weighted difference substitution method, the latter can be checked in finite steps. Examples show the efficiency of our method.