This paper is concerned with the stability of the set of trajectories of a patchy vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in Ancona and Bressan (1999) to study feedback stabilization problems. For patchy vector fields in the plane, with polygonal patches in generic position, we show that the distance between a perturbed trajectory and an unperturbed one is of the same order of magnitude as the impulsive forcing term.
|Number of pages
|ESAIM - Control, Optimisation and Calculus of Variations
|Published - Apr 2004
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
- Computational Mathematics