Robust global recurrence for a class of stochastic hybrid systems. (August 2017)

• Record Type: Journal Article
• Authors: Subbaraman, Anantharaman; Teel, Andrew R.
• Is Part Of: Nonlinear analysis. Volume 25(2017)
• Page Start: 283
• Page End: 297
• Publication Date: 2017-08
• Subjects: Stochastic hybrid systems -- Robust stability -- Uniform global recurrence; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.08.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: We study a weak property called recurrence for a class of stochastic hybrid systems and establish robustness of the recurrence property. In particular, we establish that recurrence of an open, bounded set is robust to sufficiently small perturbations in the set, perturbations of the data of the stochastic hybrid system and modifications to the system data that slow down the recurrence property. The robustness results are a consequence of the mild regularity properties assumed for the stochastic hybrid system.