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Publications (35)
This work proposes a recent model for modelling the Phase Change (PC) phenomenon based on Cellular Automata (CA) of composite and heterogeneous materials with a complex geometry. We aim to describe the temperature distribution and phases (liquid/solid) evolution for multi-components materials. The main idea of this paper is to answer the problem of...
In designing cable net structures for civil engineering applications (e.g. roofs, façades), engineers aim to minimize deformations under static loading. However, some cable net structures can undergo large deformations and are subjected to mainly dynamic loads. This work explores the design of a moored cable net shark barrier in La Réunion, which m...
In designing cable net structures for civil engineering applications (e.g. roofs, façades), engineers aim to minimize deformations under static loading. However, some cable net structures can undergo large deformations and are subjected to mainly dynamic loads. This work explores the design of a moored cable net shark barrier in La Réunion, which m...
Shark attacks always happened in Reunion Island but became more frequent since 2011, leading to security problems with socio-economic consequences. The French government with local authorities and European funding implemented a global shark risk management plan to reducing the shark risk encounter while conserving the biodiversity, economical and r...
The purpose of this chapter is to review and describe the main mathematical models applicable to the study of electrical networks involving devices like diodes whose Ampere–Volt characteristics are set-valued graphs. The mathematical models in question are related to complementarity problems, variational inequalities, and non-regular dynamical syst...
The chapter regards to building emotion-driven behavior and social development in robots based on theory of personality from personality psychology. More precisely, the chapter concerns with modeling attributes of human emotional intelligence with aim to develop robot EI-controller capable to manage and use emotions, mange relationship with others...
Ce livre traite les domaines mathématiques utiles à l’étude des modèles déterministes utilisés en biologie et chimie. Les outils mathématiques et les méthodes d’analyse et de modélisation sont illustrés par de nombreuses applications. Il s’adresse principalement aux étudiants et enseignants des DUT, BTS, licence et cycles préparatoires d’ingénieurs...
Our aim is the study of the asymptotic behavior of a time-dependent M/G/1 queueing model with a single vacation and finite number of customers. For this purpose we prove first that its wellposedness can be characterized via an operator being the generator of an irreducible semigroup. We investigate the long term behavior of the system via the spect...
The paper addresses control synthesis of anthropomorphic adaptive biped gait with humanoid robots walking on compliant support surfaces. Adaptive impedance control of biped robots with a bio-inspired modulation of leg impedance parameters based on motion capture experimental measurements is proposed in the paper. Moreover, a complementary fuzzy reg...
Using Lyapunov’s stability and LaSalle’s invariance principle for nonsmooth dynamical systems, we establish some conditions for finite-time stability of evolution variational inequalities. The theoretical results are illustrated by some examples drawn from electrical circuits involving nonsmooth elements like diodes.
We study the evolution of a class of quasistatic problems, which describe frictional contact between a body and a foundation. The constitutive law of the materials is elastic, or visco-elastic: with short or long memory, and the contact is modelled by a general subdifferential condition on the velocity. We derive weak formulations for the models an...
In this paper, we present a new and alternative mathematical modelling and analysis methodology for a class of non-regular electronic circuits through a rectifier-stabilizer circuit using the superpotentiel of Moreau and the theory of variational inequalities. This methodology is suitable for engineers to study a large class of applications.
The main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear
variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems
that we call “semi-complementarity problems”. Then we show that the study of semi-complementarity prob...
Stability during the biped locomotion and especially humanoid robots walking is a big challenge in robotics modelling. This paper compares the classical and novel methodologies of modelling and algorithmic implementation of the impact/contact dynamics that occurs during a biped motion. Thus, after establishing the free biped locomotion system model...
The paper regards sensor-based intelligent mobile robot navigation and control in the case of unknown environment in the presence of obstacles. The paper deals with combined, fuzzy and dynamic control of autonomous mobile robots and their motion in unknown environment with different obstacles. The control strategy and algorithms described in the pa...
The main object of this paper is to discuss the use of variational inequalities models to study electrical circuits involving devices like diodes and transistors.
We present a mathematical modelling and analysis (existence, uniqueness⋯) of a non-regular electronic circuit using the superpotentiel of Moreau and the theories of variationnal inequalities and differential inclusions. Through this analysis example, we provide a new methodology for engineers to study a large class of applications. Some remarks are...
This paper suggests a generalized approach to the mathematical modeling of biped locomotion systems (humans or humanoid robots) with a special attention paid to impact and contact dynamics. Modeling of impact dynamics with different locomotion mechanisms has a significant importance in robotics and military applications due to the necessity of mech...
This paper suggests a generalized approach to the mathematical modeling of biped locomotion systems (humans or humanoid robots) with special attention paid to impact and contact dynamics. Instead of the usual inductive approach that starts from the analysis of different situations of real motion (walking, running, jumping, climbing the stairs, etc....
Using the recession analysis we study necessary and sufficient conditions for the existence and the stability of a finite
semi-coercive variational inequality with respect to data perturbation. Some applications of the abstract results in mechanics
and in electronic circuits involving devices like ideal diode and practical diode are discussed.
In this paper, we study a large class of variational inequalities that can be used to deal with some highly nonlinear phenomena in electronics like switching and clipping. Using recession tools like recession cones and recession functions, we first introduce a new class of problem that we call a ”semi- complementarity problem”. Then we show that th...
In this paper, we develop a mathematical approach which can be used to display, in a systematic, rigorous and efficient way, various qualitative properties of a large class of dynamical and quasi-steady biochemical models. The applicability of the methodology has been examined for various biochemical reactions, enzyme kinetics and multi enzyme syst...
In this paper, we show how the approach of Moreau and Panagiotopoulos can be used to develop a suitable method for the formulation and mathematical analysis of circuits involving devices like diodes and thyristors.
In this paper, the superpotential approach of Moreau is used in order to propose a rigorous mathematical formulation of a nonsmooth spatial model of vehicle dynamics. A 18 degrees of freedom mathematical model of three dimensional vehicle dynamics is presented in the paper considering rigid body dynamics, dynamics of tire suspensions as well as tir...
A simple approach and an algorithm are proposed to solve the quasistatic rolling frictional contact problem between an elastic cylinder and a fiat rigid body. The discretization is based on the boundary element method. The unilateral frictional contact problem (nonsmooth but monotone) is formulated in a compact form as a nonsymmetric linear complem...
This work deals with the rolling frictional contact problem between an elastic cylinder and a ∞at rigid body. A simple approach to solve the quasistatic case through the results of the static one is presented. The discretization is based on the boundary element method. The unilateral frictional contact problem (non- smooth but monotone) is formulat...
In this paper a numerical simulation of the drop formation in drop-on-demand ink-jet print head devices is described. Different pressures histories are considered and a finite difference technique is used to obtain the velocity profile at the exit of the nozzle. For the computation of the unknown free surface shape, we propose an efficient techniqu...
This work is motivated by the spreading of vegetation dynamics on a given studied geometrical domain. It is focused on the modelling of a natural phenomenon stated by ecologists. The aim is to analyse and to model the influence of the geometrical form of the free front separating a wooded subdomain and its neighbouring arid subdomain.