This document describes how to use the function PWL2D_heuristic to build a piecewise linear function approximating a function within a given approximating error. It ...

We describe an algorithm, based on the simplex method of linear programming, for solving the discrete l 1 approximation problem with any type of linear constraints. The numerical results reported here ...

Abstract: In this article, the disjunctive and conjunctive lattice piecewise affine (PWA) approximations of explicit linear model predictive control (MPC) are proposed. Training data consisting of ...

We discuss structure-preserving model order reduction for port-Hamiltonian systems based on a nonlinear approximation ansatz which is linear with respect to a part of the state variables of the ...

This paper offers a qualitative theoretical analysis of the error that may arise when a linear programming calculation is used to solve a problem involving some ...