Pyramidal Polytopes in the Stability Region

Abstract

Every $n th$ order monic polynomial corresponds $n$-dimensional vector. If the given polynomial is stable that is all its roots lie in the open left half plane it is said to be Hurwitz polynomial and the corresponding vector is called stable vector. The set of stable vectors is non-convex. In this paper, we define special $(n+1) $ stable vectors such that their convex hull is stable.