The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = f(x) · Ai(x) dx Ai(x) dx over different ...
We use a Hierarchical Partition of Unity Finite Element Method (H-PUFEM) to represent and analyse the non-rigid deformation fields involved in multidimensional image registration...
Abstract. We prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (`reflection posit...
A matrix A is said to be partition regular (PR) over a subset S of the positive integers if whenever S is finitely coloured, there exists a vector x, with all elements in the sam...