"ERGODIC SWITCHING CONTROL FOR MARKOV-FELLER PROCESSES II " by Jose L. Menaldi and Maurice Robin
 

Document Type

Article

Abstract

This is the continuation of Part I [14], where we considered control problems with long term average (or ergodic) cost for Markov switching processes (zt , nt ), nt being a discrete component with values in a finite set N . The control acts only on this discrete component and consists of immediate switching actions. We solve the ergodic problem in several situations extending previous works, mainly when zt is a reflected diffusion with or without jumps and when the set of control values is strictly smaller than N . In this Part II, we conclude our theoretical analysis with a list of ergodic-type conditions on general Markov-Feller processes to allow a resolution of this switching model.

Disciplines

Applied Mathematics | Control Theory | Partial Differential Equations

Comments

To appear in PAFA

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