Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

Critical capital stock in a continuous-time growth model with a convex-concave production function – Ken-Ichi Akao, Takashi Kamihigashi, Kazuo Nishimura A nonconcave growth model may exhibit multiple ...

Given x 0 , a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every convex function f : C → ℝ is upper semi-continuous at x 0 , and (ii) ...

The Sphere function has d local minima except for the global one. It is continuous, convex and unimodal. The plot shows its two-dimensional form. The function is usually evaluated on the hypercube x i ...

Abstract: This brief provides a novel approach for online synthesis of predictive control barrier function (CBF)-based safety filters and controllers for differentially flat, input-constrained systems ...

Abstract: This paper studies how to coordinate a supply chain consisting of one supplier and one retailer with nonlinear price-demand function under market demand disruptions. Different from ...