ABSTRACT
This chapter aims to control chaotic dynamics, despite its long-term unpredictable behavior and its sensitivity to perturbation on parameters and initial conditions. Although the occurrence of synchronization has been originally studied in systems of coupled periodic oscillators, the chapter devotes to the main concepts regarding synchronization of chaotic systems, including as a special case that of periodic oscillators. The chapter also illustrates some key ideas on chaos control, a topic that is strictly related to that of synchronization. One of the questions to which chaos control tries to provide an answer is whether it is possible to stabilize, through a weak control action, one of these orbits making periodic a system otherwise chaotic. Although chaos control can be dealt with as a classical control problem of a nonlinear system, it requires an accurate knowledge of the system and the adopted strategy can change depending on the considered circuit or system to control.
