Dynamic systems and control

In this issue, we will attempt to show how dynamical systems theory provides, on the one hand, very useful tools for the synthesis of stabilizing controllers (perturbation theory, hierarchical control, Lyapunov synthesis) and, on the other hand, a valuable theoretical guide for analyzing the stability and robustness of nonlinear closed-loop systems (stability in the Lyapunov sense, bifurcations, Poincaré-Bendixon theory for planar systems, averaging).

We have restricted our focus to the stabilization of equilibrium points, but similar methods can be used to stabilize other types of trajectories, such as periodic orbits.