Stability of degenerate diffusions with state-dependent switching

Stability of degenerate diffusions with state-dependent switching

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Article ID: iaor20012922
Country: United States
Volume: 240
Start Page Number: 219
End Page Number: 248
Publication Date: Jan 1999
Journal: Journal of Mathematical Analysis and Applications
Authors: ,
Abstract:

This paper deals with the ergodic properties of hybrid systems modelled by diffusion processes with state-dependent switching. We investigate the sufficient conditions expressed in terms of the parameters of the underlying process which would ensure the existence of a unique invariant probability and stability in distribution of the flow. It turns out that the conditions would depend on certain averaging mechanisms over the states of the discrete component of the hybrid system.

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