Average optimal stationary policies: convexity and convergence conditions in linear stochastic control systems

Author(s)

Vargas, Alessandro N. ; do Val, Joao B. R. ; IEEE

• Document type: Journal article
• Source: PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009); v. N/A, p. 6-pg., 2009-01-01.

Abstract

This paper provides a set of conditions for the existence of an optimal stationary policy in the long-run average cost control problem of linear stochastic systems. The main conditions are based on convexity of the cost by stage and convergence of trajectories. The discrete-time system is assumed to be linear with respect to the state but the controls take an abstract state-feedback structure, possibly a nonlinear one. An application is considered to illustrate the derived theory. (AU)

• FAPESP's process: 03/06736-7 - Control and filtering of Markovian jumping parameters stochastic systems
• Grantee: João Bosco Ribeiro do Val
• Support Opportunities: Research Projects - Thematic Grants