The optimisation of gas networks has emerged as a critical field in energy systems engineering, incorporating advanced nonlinear programming techniques to address the increasing complexity of gas ...

Mathematics of Operations Research, Vol. 20, No. 4 (Nov., 1995), pp. 818-837 (20 pages) A nonlinear extension of Farkas' lemma for systems involving the difference of sublinear functions is presented.

We introduce a family of new transforms based on imitating the proximal mapping of Moreau and the associated Moreau-Yosida proximal approximation of a function. The transforms are constructed in terms ...

I created these notes in the Spring 2025 Semester of MIT course 6.7220 Nonlinear Optimization in perparation for the midterm exam. The notes are based on the theorems and proofs presented in the ...

Abstract: This letter proposes a novel Data-Driven (DD) method for controlling unknown input-affine nonlinear systems. First, we estimate the system dynamics from noisy data offline through Subspace ...

MATLAB implementations of various nonlinear programming algorithms. This repository contains MATLAB implementations of a variety of popular nonlinear programming algorithms, many of which can be found ...

Abstract: This paper focuses on the problem of formation control (FC) for unknown nonlinear iterative multi-agent systems (IMASs) with input saturation constraints ...