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of the European Council for Modelling and Simulation



On The Stability Of A Class Of Switched Bond Graphs


Sergio Junco, Alejandro Donaire, Ahmed Rahmani, Hicham Hihi

Published in:


ECMS 2008 Proceedings

Edited by: Loucas S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain


ISBN: 978-0-9553018-6-5

Doi: 10.7148/2008


22nd European Conference on Modelling and Simulation,

Nicosia, June 3-6, 2008


Citation format:

Junco, S., Donaire, A., Rahmani, A., & Hihi, H. (2008). On The Stability Of A Class Of Switched Bond Graphs. ECMS 2008 Proceedings edited by: L. S. Louca, Y. Chrysanthou, Z. Oplatkova, K. Al-Begain (pp. 478-484). European Council for Modeling and Simulation. doi:10.7148/2008-0478



This paper deals with the stability analysis of a class of switched bond graphs where all the storage components remain unchanged and in integral causality under mode switching. These properties assure the existence of a unique energy function common to all the switching modes, and the non occurrence of state jumps or discontinuities in the switched system trajectories. A result on stability of equilibria in the sense of Lyapunov is presented. The derivation of this result is done using a bond graph technique for Lyapunov stability analysis (previously developed by one of the authors of this paper) in association with results available in the literature related to the satisfaction by a candidate Lyapunov function of a sequence nonincreasing condition for the state trajectories of a general autonomous switched system. Because of its versatility, the Switched Power Junction formalism is chosen in this paper to model and simulate the commutations in the bond graph domain.

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