6 citations · 14 across the 7 of their papers we have counts for
7 papers
POCP: a package for polynomial optimal control problems
Didier Henrion, Jean-Bernard Lasserre, Carlo Savorgnan
POCP is a new Matlab package running jointly with GloptiPoly 3 and, optionally, YALMIP. It is aimed at nonlinear optimal control problems for which all the problem data are polynom…
On semidefinite representations of plane quartics
Didier Henrion
This note focuses on the problem of representing convex sets as projections of the cone of positive semidefinite matrices, in the particular case of sets generated by bivariate pol…
Detecting rigid convexity of bivariate polynomials
Didier Henrion
Given a polynomial in variables, a symbolic-numerical algorithm is first described for detecting whether the connected component of the pla…
Plane geometry and convexity of polynomial stability regions
Didier Henrion, Michael Sebek
The set of controllers stabilizing a linear system is generally non-convex in the parameter space. In the case of two-parameter controller design (e.g. PI control or static output…
GloptiPoly 3: moments, optimization and semidefinite programming
Didier Henrion, Jean Bernard Lasserre, Johan Lofberg
We describe a major update of our Matlab freeware GloptiPoly for parsing generalized problems of moments and solving them numerically with semidefinite programming.
SDLS: a Matlab package for solving conic least-squares problems
Didier Henrion, Jerome Malick
This document is an introduction to the Matlab package SDLS (Semi-Definite Least-Squares) for solving least-squares problems over convex symmetric cones. The package is shortly pre…