This survey paper gives an overview of the recent classification of all endopermutation kP -modules, where P is a finite p-group and k is a field of characteristic p. It is an expanded version of two talks given in April 2005 during a special workshop on endo-permutation modules, organized within the program of the Bernoulli Centre of EPFL. The classification of endo-permutation modules was com...

In this paper, the effect of mathematical representation method of an MR damper on the performance of control algorithm is investigated. The most exact and common Maxwel Nonlinear Slider (MNS) and modified Bouc-Wen hysteretic models are employed through a nonlinear  comparatve numerical study. In many of semi-active control algorithms, a mathematical modelling method is required for determinig ...

A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.

We describe a micro-operating mechanism for a human-scale teleoperating system. The Bouc-Wen model was used to describe the hysteresis in piezoelectric actuators and parameters were identified to characterize the hysteresis using a genetic algorithm. To improve the performance of the system, a model reference adaptive controller was designed based on the Lyapunov stability theory. Both numerica...

This paper presents the nano-positioning control of a piezoelectric platform. A Bouc-Wen model is established to describe the nonlinear hysteretic effect of piezoelectric systems. Three kinds of compensators, traditional PI controller, PI-like fuzzy logic controller (FLC) and adaptive PI-FLC controller, are designed for the piezoelectric systems. The adaptive PI controller is tuned on-line by m...

The Bouc Wen magnetorheological damper model has eight unknown parameters, and the mathematical expression of includes evolution quantity, absolute value term, exponential term differential equation, which complicates parameter identification. Researchers in related fields have made numerous attempts to solve problem that model's identification method is complex difficult implement. A combining...

Abstract. This paper presents reviews of several models and numerical simulation models of non-linear and hysteresis behaviors of magneto-rheological liquid dampers in MATLAB®/Simulink® in the example of quarter-car model of vehicle suspension simulation, such as, Bingham, Dahl, LuGre and Bouc-Wen models. In addition, it demonstrates numerical simulation models built in MATLAB®/Simulink® and di...