Publications related to Slater's condition

Multi-channel low-frequency room equalization using perceptually motivated constrained optimization

Martin Vetterli, Mihailo Kolundzija, Christof Faller

We consider the problem of multiple-loudspeaker low-frequency room equalization for a wide listening area, where the equalized loudspeaker is helped using the remaining ones. Using a spatial discretization of the listening area, we formulate the problem as ...

Ieee2012

Data-driven model reference control with asymptotically guaranteed stability

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

This paper presents a data-driven controller tuning method that includes a set of constraints for ensuring closed-loop stability. The approach requires a single experiment and can also be applied to nonminimum-phase or unstable systems. The tuning scheme u ...

Wiley-Blackwell2011

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

Some frequency-domain controller design problems are solved using a finite number of frequency samples. Consequently, the performance and stability conditions are not guaranteed for the frequencies between the frequency samples. In this paper, all possible ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Derivatives with respect to metrics and applications: subgradient marching algorithm

This paper introduces a subgradient descent algorithm to compute a Riemannian metric that minimizes an energy involving geodesic distances. The heart of the method is the Subgradient Marching Algorithm to compute the derivative of the geodesic distance wit ...

Springer-Verlag2010

Separation and Duality in Locally L0-Convex Modules

Damir Filipovic

Motivated by financial applications, we study convex analysis for modules over the ordered ring L0 of random variables. We establish a module analogue of locally convex vector spaces, namely locally L0-convex modules. In this context, we prove hyperplane s ...

2009

Data-driven controller tuning with integrated stability constraint

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

This paper presents a data-driven controller-tuning algorithm that includes a sufficient condition for closed-loop stability. This stability condition is defined by a set of convex constraints on the Fourier transform of specific auto- and cross-correlatio ...

IEEE2008

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

Noniterative Data-driven Controller Tuning Using the Correlation Approach

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

Data-driven controller tuning for model reference control problem is investigated. A new controller tuning scheme for linear time-invariant single- input single-output systems is proposed. The method, which is based on the correlation approach, uses a sing ...

2007

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

The Random Trip Model: Stability, Stationary Regime, and Perfect Simulation

Jean-Yves Le Boudec, Milan Vojnovic

We define ``random trip", a generic mobility model for random, independent node motions, which contains as special cases: the random waypoint on convex or non convex domains, random walk on torus, billiards, city section, space graph, intercity and other m ...

2006

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Multi-channel low-frequency room equalization using perceptually motivated constrained optimization

Data-driven model reference control with asymptotically guaranteed stability

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Derivatives with respect to metrics and applications: subgradient marching algorithm

Separation and Duality in Locally L0-Convex Modules

Data-driven controller tuning with integrated stability constraint

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

Noniterative Data-driven Controller Tuning Using the Correlation Approach

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

The Random Trip Model: Stability, Stationary Regime, and Perfect Simulation

Separation and Duality in Locally L0-Convex Modules

The Random Trip Model: Stability, Stationary Regime, and Perfect Simulation

Derivatives with respect to metrics and applications: subgradient marching algorithm

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

Data-driven controller tuning with integrated stability constraint

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

Multi-channel low-frequency room equalization using perceptually motivated constrained optimization

Data-driven model reference control with asymptotically guaranteed stability

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Noniterative Data-driven Controller Tuning Using the Correlation Approach