Concept

Norme (mathématiques)

Publications associées (105)

Bilevel programming for analysis of low-complexity control of linear systems with constraints

In this paper we use bilevel programming to find the maximum difference between a reference controller and a low-complexity controller in terms of the infinity-norm difference of their control laws. A nominal MPC for linear systems with constraints, and a ...

IEEE2009

Reduced basis error bound computation of parameter-dependent Navier-- Stokes equations by the natural norm approach

Simone Deparis

This work focuses on the {\em a posteriori} error estimation for the reduced basis method applied to partial differential equations with quadratic nonlinearity and affine parameter dependence. We rely on natural norms --- {\em local} parameter-dependent no ...

2008

Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements

Erik Burman

We propose a stabilized mixed finite element method based on the Scott-Vogelius element tor the Oseen equation. Here. only convection has to he stabilized since by construction both the discrete pressure and the divergence of the discrete velocities, are c ...

2008

Data-Driven Estimation of the Infinity Norm of a Dynamical System

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

The estimation of a system’s infinity norm using one set of measured input and output data is investigated. It is known that, if the data set is noise free, this problem can be solved using convex optimization. In the presence of noise, convergence of this ...

2007

New conservative gyrokinetic full-f Vlasov code and its comparison to gyrokinetic delta f particle-in-cell code

Laurent Villard

A new conservative gyrokinetic full-f Vlasov code is developed using a finite difference operator which conserves both the L1 and L2 norms. The growth of numerical oscillations is suppressed by conserving the L2 norm, and the code is numerically stable and ...

2007

Robust Control of Polytopic Systems by Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional app ...

2007

Robust Control of Polytopic Systems by Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

2007

Revisiting Doddington's Zoo: A Systematic Method to Assess User-dependent Variabilities

Samy Bengio, Norman Hoon Thian Poh

A systematic analysis of user-dependent performance variability in the context of automatic speaker verification was first studied by Doddington \etal (1998). Different categories of users were distinguished and were called by animal names such as sheep, g ...

2006

Revisiting Doddington's Zoo: A Systematic Method to Assess User-dependent Variabilities

Samy Bengio, Norman Hoon Thian Poh

IDIAP2006

Uncertainty Quantification for Reduced Basis Approximations: "Natural Norm" A Posteriori Error Estimators

Simone Deparis

We present a technique for the rapid and reliable prediction of linear-functional outputs of coercive and non-coercive linear elliptic partial differential equations with affine parameter dependence. The essential components are: (i) rapidly convergent glo ...

Elsevier2006

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