It is shown in this paper that if BG is the Stone-ech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in BG which is not almost periodic, and if another condition will be added, then there is a recurrent point in 8G which is not almost periodic point.

Fluid flows play a central role in scientific and technological development, many of these are characterized by dominant oscillation, such as the vortex shedding wake nearly all transportation vehicles. The ability to control is critical improve aerodynamic performance unsteady fluid flow systems. This goal requires precise characterization how perturbations affect long-time phase oscillatory f...

In this paper, we study the asymptotic behaviour of a parabolic optimal control problem in a domain Ωε ⊂ Rn , whose boundary ∂Ωε contains a highly oscillating part. We consider this problem with two different classes of Dirichlet boundary controls, and, as a result, we provide its asymptotic analysis with respect to the different topologies of homogenization. It is shown that the mathematical d...

This paper deals with the automated veriication of a class of task-control systems with periods, durations, and scheduling specii-cations. Such systems are translated into Periodic Hybrid Automata for veriication. We show that safety, liveness, and time-bounded properties are decidable for the considered systems.

The Sliding Mode Control (SMC) is well known by its robustness to parameter uncertainties or external disturbances. The repetitive control (RC) is able to track or reject periodic and multi-periodic signals. This paper presents a new control strategy as a combination of a Sliding Mode approach and Repetitive Control to reject periodic and multi-periodic disturbances in the case of nonlinear mul...