This note contains a description of the concepts of spreadability and feedback spreading control (FSC) for distributed parameter systems (DPS), the approaches used until now along with applications and a list of references to works including peer-reviewed papers, communications to international meetings and theses. Distributed biophysical processes usually involve spreads in space, e.g. biologi...

In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers s...

We formulate a very general optimal design problem for the selection of best states to observe and optimal sampling times and locations (i.e., selections of what, when, and where to observe) for parameter estimation or inverse problems involving complex nonlinear partial differential systems. A theoretical framework along with a detailed iterative algorithm for implementation of the resulting m...

A wide variety of phenomena are described by partial differential equations, so-called distributed parameter systems. In such partial differential equation models it is often desirable to determine the effect of uncertainties in parameters appearing in the equations on their solutions and also, if more than one .parameter may vary, which parameters arc most influential. The sensitivity analysis...

The notion of spreadability was introduced by A. El Jai and al. 1994 [8, 9] to describe some biogeographical problems. An extension (A-spreadability) was given in 1998, Bernoussi [5]. The aim of this paper is to explore some interesting connections of this notion with wavefronts [11] and level set [13]. Also the spray control problem is investigated in connection with tracking interfaces. The r...

In this paper, we will discuss the use of new methods from robust control and especially H°° theory for the explicit construction optimal feedback compensators for several practical distributed parameter systems. Indeed, based on operator and interpolation theoretic methods one can now solve the standard H control problem for a broad class of systems modelled by PDEs. In our approach, the compl...

This contribution is devoted to the accessibility analysis of distributed parameter systems. A formal system theoretical approach is proposed by means of differential geometry, which allows an intrinsic representation for the class of infinite dimensional systems. Beginning with the introduction of a convenient representation form, in particular, the accessibility along a trajectory is discusse...