Publication Cover
Stochastics
An International Journal of Probability and Stochastic Processes
Volume 85, 2013 - Issue 4: Taksar Memorial Issue
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Original Articles

Singular ergodic control for multidimensional Gaussian–Poisson processes

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Pages 682-691 | Received 28 Feb 2013, Accepted 19 Mar 2013, Published online: 30 May 2013

References

  • Arapostathis , A. , Borkar , V.S. and Ghosh , M.K. 2012 . Ergodic Control of Diffusion Processes , Cambridge : Cambridge University Press .
  • Bensoussan , A. 1988 . Perturbation Methods in Optimal Control , Chichester : Wiley .
  • Bensoussan , A. , Liu , J. and Yuan , J. 2010 . Singular control and impulse control: A common approach . Discrete Contin. Dyn. Syst. – Ser. B (DCDS-B) , 13 : 27 – 57 .
  • Fleming , W.H. and Soner , H.M. 1992 . Controlled Markov Processes and Viscosity Solutions , New York : Springer-Verlag .
  • Garroni , M.G. and Menaldi , J.L. 2002 . Second Order Elliptic Integro-Differential Problems , Boca Raton, FL : Chapman & Hall/CRC .
  • Menaldi , J.L. and Robin , M. 1984 . On a singular control problems for diffusions with jumps . IEEE Trans. Automatic Control , AC-29 : 991 – 1004 .
  • Menaldi , J.L. and Robin , M. 1985 . Invariant measure for diffusions with jumps . Appl. Math. Optim. , 40 : 105 – 140 .
  • Menaldi , J.L. and Robin , M. 1985 . Reflected diffusion processes with jumps . Ann. Probab. , 13 : 319 – 341 .
  • Menaldi , J.L. and Taksar , M.I. 1989 . Optimal correction problems of multidimensional stochastic systems . Automatica , 25 : 223 – 232 .
  • Menaldi , J.L. , Robin , M. and Taksar , M.I. 1992 . Singular ergodic control for multidimensional Gaussian processes . Math. Control Signal. Syst. , 5 : 93 – 144 .
  • Øksendal , B. and Sulem , A. 2005 . Applied Stochastic Control of Jump Diffusions , Berlin : Springer-Verlag .
  • Soner , H.M. and Shreve , S.E. 1989 . Regularity of the value function for a two-dimensional singular stochastic control problem . SIAM J. Control Optim. , 27 : 876 – 907 .
  • Williams , S. , Chow , P.L. and Menaldi , J.L. 1994 . Regularity of the free boundary for a singular stochastic control problem . J. Diff. Equ. , 111 : 175 – 201 .

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