We study the problem of proving incremental stability of a planar Filippov system. In particular, referring to systems that present an attractive sliding region on their discontinuity boundary, we will give a differential condition on such region able to guarantee incremental exponential stability of sliding mode trajectories. We will then derive conditions for the incremental stability of the whole system. The approach is based on using tools from contraction theory, extending their applicability to include discontinuous dynamical systems.
Incremental stability of planar Filippov systems / DI BERNARDO, Mario; Liuzza, Davide. - STAMPA. - (2013), pp. 3706-3711. (Intervento presentato al convegno European Control Conference tenutosi a Zurigo nel luglio 2013).
Incremental stability of planar Filippov systems
DI BERNARDO, MARIO;LIUZZA, DAVIDE
2013
Abstract
We study the problem of proving incremental stability of a planar Filippov system. In particular, referring to systems that present an attractive sliding region on their discontinuity boundary, we will give a differential condition on such region able to guarantee incremental exponential stability of sliding mode trajectories. We will then derive conditions for the incremental stability of the whole system. The approach is based on using tools from contraction theory, extending their applicability to include discontinuous dynamical systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
