Bifurcation analysis of linear dynamical systems with relay feedback is considered. The emphasis is on periodic solutions and their symmetry. It is shown that, despite what has been conjectured in the literature, a symmetric and unforced relay feedback system can exhibit asymmetric periodic solutions. Moreover, the occurrence of periodic solutions characterized by one or more sections lying within the system discontinuity set is outlined. The mechanisms underlying their formation are carefully studied and shown to be due to an interesting, novel class of local bifurcations.
Bifurcations and Symmetry in Relay Feedback Systems / DI BERNARDO, Mario; K. H., Johansson; F., Vasca. - STAMPA. - (2000), pp. 268-272. (Intervento presentato al convegno IEEE Workshop on Nonlinear Dynamics of Electronic Systems tenutosi a Catania, Italy nel 18-20 maggio 2000) [10.1142/9789812792662_0058].
Bifurcations and Symmetry in Relay Feedback Systems
DI BERNARDO, MARIO;
2000
Abstract
Bifurcation analysis of linear dynamical systems with relay feedback is considered. The emphasis is on periodic solutions and their symmetry. It is shown that, despite what has been conjectured in the literature, a symmetric and unforced relay feedback system can exhibit asymmetric periodic solutions. Moreover, the occurrence of periodic solutions characterized by one or more sections lying within the system discontinuity set is outlined. The mechanisms underlying their formation are carefully studied and shown to be due to an interesting, novel class of local bifurcations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
