activity
20062023
most citedApproximate volume and integration for basic semi-algebraic sets

92 citations · 246 across the 75 of their papers we have counts for

collaborators
Showing 2012Show all

6 papers · 1 filter

math.OC2012

Measures and LMIs for optimal control of piecewise-affine systems

M. Rasheed Abdalmoaty, Didier Henrion, Luis Rodrigues

This paper considers the class of deterministic continuous-time optimal control problems (OCPs) with piecewise-affine (PWA) vector field, polynomial Lagrangian and semialgebraic in…

math.OC2012

Inner approximations of the region of attraction for polynomial dynamical systems

Milan Korda, Didier Henrion, Colin N. Jones

In a previous work we developed a convex infinite dimensional linear programming (LP) approach to approximating the region of attraction (ROA) of polynomial dynamical systems subje…

math.OC2012★ 1 cited

Minimum volume semialgebraic sets for robust estimation

Fabrizio Dabbene, Didier Henrion

Motivated by problems of uncertainty propagation and robust estimation we are interested in computing a polynomial sublevel set of fixed degree and minimum volume that contains a g…

math.OC2012

Mean squared error minimization for inverse moment problems

Didier Henrion, Jean-Bernard Bernard Lasserre, Martin Mevissen

We consider the problem of approximating the unknown density of a measure on , absolutely continuous with respect to some given reference measure…

math.OC2012★ 9 cited

Convex computation of the region of attraction of polynomial control systems

Didier Henrion, Milan Korda

We address the long-standing problem of computing the region of attraction (ROA) of a target set (e.g., a neighborhood of an equilibrium point) of a controlled nonlinear system wit…

math.OC2012

Measures and LMI for space launcher robust control validation

Didier Henrion, Martine Ganet-Schoeller, Samir Bennani

We describe a new temporal verification framework for safety and robustness analysis of nonlinear control laws, our target application being a space launcher vehicle. Robustness an…