Concept

Hadamard's dynamical system

Related publications (76)

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Networks of Self-Adaptive Dynamical Systems

Max-Olivier Hongler, Julio Rodriguez

We discuss the adaptive behaviour of a collection of heterogeneous dynamical systems interacting via a weighted network. At each vertex, the network is endowed with a dynamical system with individual (initially different) control parameters governing the l ...

Oxford University Press2012

Learning Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a method for learning discrete robot motions from a set of demonstrations. We model a motion as a nonlinear autonomous (i.e. time-invariant) Dynamical System (DS), and define sufficient conditions to ensure global asymptotic stability a ...

2011

Networks of Self-Adaptive Dynamical Systems

Julio Rodriguez

The present work belongs to the vast body of research devoted to behaviors that emerge when homogeneous or heterogeneous agents interact. We adopt a stylized point of view in which the individual agents' activities can be assimilated into nonlinear dynamic ...

EPFL2011

Bloch oscillations of an exciton-polariton Bose-Einstein condensate

Hugo Pierre Alexandre Flayac

We study theoretically Bloch oscillations of half-matter, half-light quasiparticles: exciton-polaritons. We propose an original structure for the observation of this phenomenon despite the constraints imposed by the relatively short lifetime of the particl ...

2011

CPG-based prostheses control

Marc Louis

In this thesis we describe a strategy to control robotic knees and ankles. A dynamical system is used to generate a position trajectory to control a servo motor replacing the missing joint. The dynamical system consists in a pool of coupled oscillators mod ...

2010

Imitation learning of Globally Stable Non-Linear Point-to-Point Robot Motions using Nonlinear Programming

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a method to learn arbitrary discrete motions from a set of demonstrations. We model a motion as a nonlinear autonomous (i.e. time-invariant) dynamical system, and define the sufficient conditions to make such a system globally asymptoti ...

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

Movement Curvature Planning through Force Field Internal Models

Aude Billard, Biljana Petreska von Ritter-Zahony

Human motion studies have focused primarily on modeling straight point-to-point reaching movements. However, many goal-directed reaching movements, such as movements directed towards oneself, are not straight but rather follow highly curved trajectories. T ...

2009

Adaptive Frequency Oscillators and Applications

Auke Ijspeert, Jonas Buchli, Ludovic Righetti

In this contribution we present a generic mechanism to transform an oscillator into an adaptive frequency oscillator, which can then dynamically adapt its parameters to learn the frequency of any periodic driving signal. Adaptation is done in a dynamic way ...

2009

Low-Density Codes Based on Chaotic Systems for Low-Density Codes Based on Chaotic Systems for Simple Encoding

Martin Hasler, Slobodan Kozic

This paper proposes a new class of low-density generator-matrix codes (LDGM) based on chaotic dynamical systems. The codes are designed by controlling symbolic dynamics and using linear convolutional codes. Analyzing the complex structure of chaotic system ...

2009

Singularly perturbed piecewise deterministic games

Alain Haurie

In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter

\varepsilon

which represents the time scale ratio between the stochastic (jump process) and the dete ...

Society for Industrial and Applied Mathematics2008

Singularly perturbed piecewise deterministic games

Alain Haurie

In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter

\varepsilon

which represents the time scale ratio between the stochastic (jump process) and the dete ...

Society for Industrial and Applied Mathematics2008