Publications associées à Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain

\Omega

in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...

2009

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently

Friedrich Eisenbrand

In this paper, we introduce the notion of a constrained Minkowski sum: for two (finite) point-sets P, Q subset of R-2 and a set of k inequalities Ax >= b, it is defined as the point-set (P circle plus Q)(Ax >= b) = {x = p + q vertical bar p is an element o ...

Springer-Verlag2009

Extended Formulations for Packing and Partitioning Orbitopes

Yuri Faenza

We give compact extended formulations for the packing and partitioning orbitopes (with respect to the full symmetric group) described and analyzed in Kaibel and Pfetsch [Kaibel, V., M. E. Pfetsch. 2008. Packing and partitioning orbitopes. Math. Programming ...

2009

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non- convex set of stabilizing control ...

2008

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments ...

2008

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non-convex set of stabilizing controll ...

2007

Inclusions différentielles et problèmes variationnels

Ana Margarida Fernandes Ribeiro

In this thesis we deal with three different but connected questions. Firstly (cf. Chapter 2) we make a systematic study of the generalized notions of convexity for sets. We study the notions of polyconvex, quasiconvex and rank one convex set. We remark tha ...

EPFL2006

Perfect Simulation and Stationarity of a Class of Mobility Models

Jean-Yves Le Boudec, Milan Vojnovic

We define ``random trip", a generic mobility model for independent mobiles that contains as special cases: the random waypoint on convex or non convex domains, random walk with reflection or wrapping, city section, space graph and other models. We use Palm ...

2005

Steady-State Performance of Convex Combinations of Adaptive Filters

Ali H. Sayed

Combination approaches can improve the performance of adaptive schemes. In this paper, we study the steady-state performance of an adaptive convex combination of transversal filters and show its universality in the sense that the combination performs, in s ...

IEEE2005

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

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Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently

Extended Formulations for Packing and Partitioning Orbitopes

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Inclusions différentielles et problèmes variationnels

Perfect Simulation and Stationarity of a Class of Mobility Models

Steady-State Performance of Convex Combinations of Adaptive Filters

Perfect Simulation and Stationarity of a Class of Mobility Models

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Extended Formulations for Packing and Partitioning Orbitopes

Steady-State Performance of Convex Combinations of Adaptive Filters

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Inclusions différentielles et problèmes variationnels

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently