A PDE-based control concept is developed to deploy a multi-agent system into desired
formation profiles. The dynamic model is based on a coupled linear, time-variant parabolic …

In this article the output regulation problem for boundary controlled parabolic systems with
spatially varying coefficients is solved by applying the backstep** approach. Thereby, the …

While state estimation techniques are routinely applied to systems represented by ordinary
differential equation (ODE) models, it remains a challenging task to design an observer for a …

The problem of boundary stabilization is considered for some classes of coupled parabolic
linear PDEs of the reaction–diffusion type. With reference to n coupled equations, each one …

Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …

This paper introduces a methodology for modelling, analysis, and control design of a large-
scale system of agents deployed in 3-D space. The agents' communication graph is a mesh …

In this article a backstep**-based solution of the robust output regulation problem for
boundary controlled parabolic PDEs with spatially varying parameters is presented. This is …

An integral transform is introduced which allows the construction of boundary controllers and
observers for a class of first-order hyperbolic PIDEs with Fredholm integrals. These systems …

The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

This paper considers the backstep** design of state feedback controllers for coupled
linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct …