Abstract: We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well as composite ...

In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...

polynomial as :math:`y=a+bx+cx^2+dx^3`, we write the polynomial as :math:`y=a+b P_3(c+dx)` where :math:`P_3(x)=\\frac{1}{2}\\left(5x^3-3x\\right)` is the `Legendre polynomial`_ of degree three.

Abstract: In this paper, the stability of polynomial-fuzzy-model-based (PFMB) systems equipped with mismatched interval type-2 (IT2) membership functions is investigated. Unlike the ...

This code contains three implementations of the polynomials in OCaml. It is intended as a pedagical exercise to demonstrate OCaml. The three implementations are : array_polynomial.ml: an ...