92 citations · 246 across the 75 of their papers we have counts for
6 papers · 1 filter
Positive trigonometric polynomials for strong stability of difference equations
Didier Henrion, Tomas Vyhlidal
We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion o…
H2 for HIFOO
Denis Arzelier, Deaconu Georgia, Suat Gumussoy +1
HIFOO is a public-domain Matlab package initially designed for Hinfinity fixed-order controller synthesis, using nonsmooth nonconvex optimization techniques. It was later on extend…
A hierarchy of LMI inner approximations of the set of stable polynomials
Mustapha Ait Rami, Didier Henrion
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear mat…
Semidefinite geometry of the numerical range
Didier Henrion
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasibl…
Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations
Martin Mevissen, Jean-Bernard Lasserre, Didier Henrion
Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving no…
An Inverse Optimality Method to Solve a Class of Optimal Control Problems
Luis Rodrigues, Didier Henrion, Mehdi Abedinpour Fallah
This paper presents an inverse optimality method to solve the Hamilton-Jacobi-Bellman equation for a class of nonlinear problems for which the cost is quadratic and the dynamics ar…