92 citations · 246 across the 75 of their papers we have counts for
7 papers · 2 filters
Linear Control of Time-Domain Constrained Systems
W. H. T. M. Aangenent, W. P. M. H. Heemels, M. J. G. Van De Molengraft +2
This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares te…
Measures and LMI for impulsive optimal control with applications to space rendezvous problems
Mathieu Claeys, Denis Arzelier, Didier Henrion +1
This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programm…
Inner approximations for polynomial matrix inequalities and robust stability regions
Didier Henrion, Jean Bernard Lasserre
Following a polynomial approach, many robust fixed-order controller design problems can be formulated as optimization problems whose set of feasible solutions is modelled by parame…
Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design
Didier Henrion, Christophe Louembet
We describe an elementary algorithm to build convex inner approximations of nonconvex sets. Both input and output sets are basic semialgebraic sets given as lists of defining multi…
Finding largest small polygons with GloptiPoly
Didier Henrion, Frederic Messine
A small polygon is a convex polygon of unit diameter. We are interested in small polygons which have the largest area for a given number of vertices . Many instances are already…
Projection methods in conic optimization
Didier Henrion, Jérôme Malick
There exist efficient algorithms to project a point onto the intersection of a convex cone and an affine subspace. Those conic projections are in turn the work-horse of a range of…