The controllability behavior of nonlinear control systems is described by associating semigroups to locally maximal subsets of complete controllability, i.e., local control sets. Periodic trajectories are called equivalent if there is a `homotopy' between them involving only trajectories. The resulting object is a semigroup, which we call the dynamic index of the local control set. It measures the dierent ways the system can go through the local control set.

On the classification of control sets / F. COLONIUS; M. SPADINI. - STAMPA. - 273:(2002), pp. 217-231. (Intervento presentato al convegno Dynamics, bifurcations, and control tenutosi a Kloster Irsee (Germania) nel 2001).

On the classification of control sets

SPADINI, MARCO
2002

Abstract

The controllability behavior of nonlinear control systems is described by associating semigroups to locally maximal subsets of complete controllability, i.e., local control sets. Periodic trajectories are called equivalent if there is a `homotopy' between them involving only trajectories. The resulting object is a semigroup, which we call the dynamic index of the local control set. It measures the dierent ways the system can go through the local control set.
2002
Dynamics, bifurcations, and control
Dynamics, bifurcations, and control
Kloster Irsee (Germania)
2001
F. COLONIUS; M. SPADINI
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/242085
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 4
social impact