TY - JOUR
T1 - The average cost optimality equation
T2 - A fixed point approach
AU - Vega-Amaya, Oscar
PY - 2003/4
Y1 - 2003/4
N2 - We are concerned with the expected average cost optimal control problem for discrete-time Markov control processes with Borel state and action spaces and possibly unbounded costs. We show, under a Lyapunov stability condition and a growth condition on the costs, the existence of a stationary optimal policy using the well-known Banach's fixed point theorem.
AB - We are concerned with the expected average cost optimal control problem for discrete-time Markov control processes with Borel state and action spaces and possibly unbounded costs. We show, under a Lyapunov stability condition and a growth condition on the costs, the existence of a stationary optimal policy using the well-known Banach's fixed point theorem.
KW - Banach's fixed point theorem
KW - Discrete-time Makov control processes
KW - Expected average cost criterion
KW - Lyapunov conditions
UR - http://www.scopus.com/inward/record.url?scp=0042326540&partnerID=8YFLogxK
M3 - Artículo
SN - 1405-213X
VL - 9
SP - 185
EP - 195
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 1
ER -