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References

  • Aubin, Jean-Pierre; Cellina, Arrigo. Differential inclusions. Set-valued maps and viability theory. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 264. Springer-Verlag, Berlin, 1984. xiii+342 pp. ISBN: 3-540-13105-1 MR0755330
  • Barron, E. N.; Jensen, R. Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians. Comm. Partial Differential Equations 15 (1990), no. 12, 1713--1742. MR1080619
  • Bhatt, Abhay G.; Borkar, Vivek S. Occupation measures for controlled Markov processes: characterization and optimality. Ann. Probab. 24 (1996), no. 3, 1531--1562. MR1411505
  • Borkar, Vivek; Gaitsgory, Vladimir. Averaging of singularly perturbed controlled stochastic differential equations. Appl. Math. Optim. 56 (2007), no. 2, 169--209. MR2352935
  • Bouchard, Bruno; Touzi, Nizar. Weak dynamic programming principle for viscosity solutions. SIAM J. Control Optim. 49 (2011), no. 3, 948--962. MR2806570
  • Buckdahn, R.; Goreac, D.; Quincampoix, M. Stochastic optimal control and linear programming approach. Appl. Math. Optim. 63 (2011), no. 2, 257--276. MR2772196
  • Fleming, Wendell H.; Soner, H. Mete. Controlled Markov processes and viscosity solutions. Second edition. Stochastic Modelling and Applied Probability, 25. Springer, New York, 2006. xviii+429 pp. ISBN: 978-0387-260457; 0-387-26045-5 MR2179357
  • Frankowska, Hélène. Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. 31 (1993), no. 1, 257--272. MR1200233
  • Gaitsgory, Vladimir; Quincampoix, Marc. Linear programming approach to deterministic infinite horizon optimal control problems with discounting. SIAM J. Control Optim. 48 (2009), no. 4, 2480--2512. MR2556353
  • Goreac, Dan; Serea, Oana-Silvia. Mayer and optimal stopping stochastic control problems with discontinuous cost. J. Math. Anal. Appl. 380 (2011), no. 1, 327--342. MR2786205
  • Kurtz, Thomas G.; Stockbridge, Richard H. Existence of Markov controls and characterization of optimal Markov controls. SIAM J. Control Optim. 36 (1998), no. 2, 609--653 (electronic). MR1616514
  • Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel. Nonlinear optimal control via occupation measures and LMI-relaxations. SIAM J. Control Optim. 47 (2008), no. 4, 1643--1666. MR2421324
  • Stockbridge, Richard H. Time-average control of martingale problems: existence of a stationary solution. Ann. Probab. 18 (1990), no. 1, 190--205. MR1043943
  • Yin, G. George; Zhang, Qing. Continuous-time Markov chains and applications. A singular perturbation approach. Applications of Mathematics (New York), 37. Springer-Verlag, New York, 1998. xvi+349 pp. ISBN: 0-387-98244-2 MR1488963
  • Yong, Jiongmin; Zhou, Xun Yu. Stochastic controls. Hamiltonian systems and HJB equations. Applications of Mathematics (New York), 43. Springer-Verlag, New York, 1999. xxii+438 pp. ISBN: 0-387-98723-1 MR1696772
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