On the graphical stability of hybrid solutions with non-matching jump times
article
We investigate stability of a solution of a hybrid system in the sense that the graphs of solutions from nearby initial conditions remain close and tend towards the graph of the given solution. In this manner, a small continuous-time mismatch is allowed between the jump times of neighbouring solutions and the ‘peaking phenomenon’ is avoided. We provide conditions such that this stability notion is implied by stability with respect to a specifically designed distance-like function. Hence, stability of solutions in the graphical sense can be analysed with existing Lyapunov techniques.
Topics
TNO Identifier
870068
ISSN
00051098
Source
Automatica, 111(January)
Publisher
Elsevier
Article nr.
108662
Place of publication
Amsterdam
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