On the graphical stability of hybrid solutions with non-matching jump times

J.J. Benjamin Biemond (Corresponding author), Romain Postoyan, W.P. Maurice H. Heemels, Nathan van de Wouw

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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.

Originele taal-2Engels
Artikelnummer108662
Aantal pagina's5
TijdschriftAutomatica
Volume111
DOI's
StatusGepubliceerd - jan 2020

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Hybrid systems

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On the graphical stability of hybrid solutions with non-matching jump times. / Biemond, J.J. Benjamin (Corresponding author); Postoyan, Romain; Heemels, W.P. Maurice H.; van de Wouw, Nathan.

In: Automatica, Vol. 111, 108662, 01.2020.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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