Lyapunov conditions certifying stability and recurrence for a class of stochastic hybrid systems

Author: Andrew R. Teel

Abstract:
Lyapunov-based conditions for stability and recurrence are presented for a class of stochastic hybrid systems where solutions are not necessarily unique, either due to nontrivial overlap of the flow and jump sets, a set-valued jump map, or a set-valued flow map. Randomness enters exclusively through the jump map, yet the framework covers systems with spontaneous transitions. Regularity conditions are given that guarantee the existence of random solutions and robustness of the Lyapunov conditions.

Published in: Annual Reviews in Control  (Volume 37, Issue 1, April  2013)

Publisher: Elsevier

ISSN Information: 1367-5788

Lyapunov conditions certifying stability and recurrence for a class of stochastic hybrid systems

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