Lyapunov theory for hybrid dynamical systems applied to attitude control
Abstract: Lyapunov theory provides a means for establishing stability and/or attractivity of an equilibrium or of a forward invariant set (typically a compact one) for a dynamical system. While its developments are more than 100 years old for what concerns continuous-time or discrete-time dynamics, its development in the presence of hybrid dynamics (describing solutions that may both jump and flow) has only recently reached a mature stage. In this talk we will discuss the main definitions and results behind the hybrid Lyapunov theory introduced by Andy Teel and his coauthors in the early 2000, and we will discuss its application to the attitude stabilization problem: a context where continuous feedback stabilizers cannot achieve robust global asymptotic stability, due to the intrinsic limitations caused by the topological constraints.
È possibile consultare gli eventi del precedente ciclo alla pagina https://webmagazine.unitn.it/evento/dmath/67573/maths-bites-trento