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Structural stability of equilibrium sets for a class of discontinuous vector fields | IEEE Conference Publication | IEEE Xplore

Structural stability of equilibrium sets for a class of discontinuous vector fields


Abstract:

A class of discontinuous vector fields is investigated, where equilibria are generically positioned in an interval in the phase space, and equilibria are not isolated poi...Show More

Abstract:

A class of discontinuous vector fields is investigated, where equilibria are generically positioned in an interval in the phase space, and equilibria are not isolated points. The dynamics near such an equilibrium set is studied, and it is shown that the structural stability of trajectories near the equilibrium sets is determined by the local dynamics near the endpoints of this interval. Based on this result, sufficient conditions for structural stability of equilibrium sets in planar systems are given, and two new bifurcations are identified. The results are illustrated by application to a controlled mechanical system with dry friction.
Date of Conference: 12-15 December 2011
Date Added to IEEE Xplore: 01 March 2012
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Conference Location: Orlando, FL, USA

References

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