Аннотация:For a
general switching Langevin -
Smoluchowski type system with a
closed-loop control we establish under
the linear growth condition on
coefficients, that: 1) there exists a
unique solution of the system, with a
strong Markov property; 2) a mixing
condition in the local Markov-Dobrushin
form holds. Complemented with
recurrence properties, these results
can provide exponential stability of
the system.