The Lagrange approach to ergodic control of diffusions with cost constraints

References

• Arapostathis , A and Borkar , VS . 2010 . Uniform recurrence properties of controlled diffusions and applications to optimal control . SIAM J. Control Optim. , 48 : 4181 – 4223 .
   Web of Science ®Google Scholar
• Borkar , VS and Ghosh , M . 1990 . Controlled diffusions with constraints . J. Math. Anal. Appl. , 152 : 88 – 108 .
   Web of Science ®Google Scholar
• Dufour , F and Stockbridge , R . 2012 . On the existence of strict optimal controls for constrained, controlled Markov processes in continuous-time . Stochastics , 84 : 55 – 78 .
   Google Scholar
• Glynn , PW and Meyn , SP . 1996 . A Lyapunov bound for solutions of the Poisson equation . Ann. Probab. , 24 : 916 – 931 .
   Web of Science ®Google Scholar
• Haussmann , UG and Lepeltier , JP . 1990 . On the existence of optimal controls . SIAM J. Control Optim. , 28 : 851902
   Web of Science ®Google Scholar
• Hernández-Lerma , O , González-Hernández , J and López-Martínez , RR . 2003 . Constrained average cost Markov control processes in Borel spaces . SIAM. J. Control Optim. , 42 : 442 – 468 .
   Web of Science ®Google Scholar
• Jasso-Fuentes , H and Hernández-Lerma , O . 2008 . Characterizations of overtaking optimality for controlled diffusion processes . Appl. Math. Optim. , 57 : 349 – 369 .
   Web of Science ®Google Scholar
• Mendoza-Pérez , AF and Hernández-Lerma , O . 2010 . Markov control processes with pathwise constraints . Math. Methods Oper. Res. , 71 : 477 – 502 .
   Web of Science ®Google Scholar
• Meyn , SP and Tweedie , RL . 1993 . Stability of Markovian processes III: Foster-Lyapunov criteria for continuous-time processes . Adv. Appl. Prob. , 25 : 518 – 548 .
   Web of Science ®Google Scholar
• Prieto-Rumeau , T and Hernández-Lerma , O . 2008 . Ergodic control of continuous-time Markov chains with pathwise constraints . SIAM J. Control Optim. , 47 : 1888 – 1908 .
   Web of Science ®Google Scholar