Publications associées à Fonction convexe

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

Some Recovery Conditions for Basis Learning by L1-Minimization

Rémi Gribonval, Karin Schnass

Many recent works have shown that if a given signal admits a sufficiently sparse representation in a given dictionary, then this representation is recovered by several standard optimization algorithms, in particular the convex

\ell^1

minimization approac ...

2008

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

Giovanni De Micheli, David Atienza Alonso, Luca Benini, Srinivasan Murali

With technology advances, the number of cores integrated on a chip and their speed of operation is increasing. This, in turn is leading to a significant increase in chip temperature. Temperature gradi- ents and hot-spots not only affect the performance of ...

2008

A Note on Natural Risk Statistics

Damir Filipovic, Gregor Svindland

Recently Heyde, Kou and Peng (2007) proposed the notion of a natural risk statistic associated with a finite sample that relaxes the subadditivity assumption in the classical coherent risk statistics. In this note we use convex analysis to provide alternat ...

Elsevier2008

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

A new approach for robust fixed-order

H_\infty

controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is show ...

IEEE2008

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

Pierre Vandergheynst, Yves Wiaux, Gilles Puy, Laurent Jacques

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of the signals. We propose new generi ...

2008

Reducing Synchronization Cost in Weighted Dynamical Networks Using Betweenness Centrality Measures

Martin Hasler, Ali Ajdari Rad, Mahdi Jalili

In this paper we investigate optimization of synchronization cost in undirected dynamical networks. To do so, proper weights are assigned to the networks’ edges considering node and edge betweenness centrality measures. The proposed method gives near-optim ...

IEEE2008

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Fixed-order controller design for LTI-SISO polytopic systems is investigated using rank deficiency constraint on the controller Sylvester resultant matrix. It is shown that the non-convexity of fixed-order controller design problem can be gathered in a ran ...

2008

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

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

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

Some Recovery Conditions for Basis Learning by L1-Minimization

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

A Note on Natural Risk Statistics

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

Reducing Synchronization Cost in Weighted Dynamical Networks Using Betweenness Centrality Measures

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Robust Control of Polytopic Systems by Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

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

Some Recovery Conditions for Basis Learning by L1-Minimization

A Note on Natural Risk Statistics

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Compressed sensing imaging techniques for aperture synthesis by radio interferometry

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Reducing Synchronization Cost in Weighted Dynamical Networks Using Betweenness Centrality Measures

Robust Control of Polytopic Systems by Convex Optimization