The paper deals with the modeling and the control of the hybrid excitation synchronous machine operating as a variable frequency generator that supplies an isolated load in embedded applications such as aircraft electrical power generation. The elaborated model is suitable for simulation and is...

In this paper it is shown that a nonlinear system with an isolated equilibrium can be identified using two kinds of Dynamic Neural Networks, the Hopfield type (DNN-H) and the Multilayer type (DNN-M). The identified models are in continuous time. The equilibrium point is assumed to be the origin,...

Two types of models can be used to describe nonlinear agricultural systems: mechanistic and empirical. For the first type of models, mathematical methods for simulating, a set of differential equations which characterise the underpinning process relationships are outlined. For the second type of...

The Faà di Bruno formula enables us to compute the derivatives of a function of several variables. We show here, in spite of the noncommutativity of causal computations, that the Faà di Bruno grammar makes it possible to compute the derivatives of any causal functional. Using this property and...

In this paper we describe the design of a control algorithm for MISO systems, which can be modelled as hybrid fuzzy models. Hybrid fuzzy models present a convenient approach to modelling nonlinear hybrid systems.

In this work, the Evaluation transform is adapted to interpret the polylogarithms as being the Evaluation of the words yxn, for meromorphic kernels and meromorphic inputs. The functional equations on polylogarithms can be obtained, then, via combinatorics on words and the relations between the...

Software sensors (or state observers) are able to provide a continuous estimation of some signals (e.g. concentrations of important culture components, like biomass) which are not measured by hardware sensors. They need a mathematical model of the process and (discrete) hardware measurements of...

This paper contributes to the development of symbolic computation for nonlinear control and design, by first reviewing some standard tools for analysis, and then focusing on the specific problem of bilinearization up to output injection. The symbolic computability of a bilinearizability test is...

Antisolitons traveling on the surface of a nucleus are shown to generate highly deformed shapes. The dynamics is based on solutions of the non-linear Korteweg-de Vries (KdV) equation. The theory is used to model the onset of nuclear fission. Aspects of the dynamics, its relation to fluid...

We examine how nonlinear dispersion relations (NLDR) can be used as a simple, universal algebraic tool to provide information for the localized, nonlinear solutions of PDE that model physical systems. Such scaling relations between width, amplitude and velocity are of great help for numerical...