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Volumn 31, Issue 2, 2011, Pages 419-433

A risk-sensitive stochastic maximum principle for optimal control of jump diffusions and its applications

Author keywords

Adjoint equation; Jump diffusions; Maximum principle; Risk sensitive control

Indexed keywords


EID: 79952161319     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0252-9602(11)60242-7     Document Type: Article
Times cited : (33)

References (14)
  • 1
    • 0000859647 scopus 로고    scopus 로고
    • Minimum principle for partially observable nonlinear risk-sensitive control problems using measure-valued decompositions
    • Charalambous CD, Hibey JL Minimum principle for partially observable nonlinear risk-sensitive control problems using measure-valued decompositions. Stoch Stoch Reports 1996, 57:247-288.
    • (1996) Stoch Stoch Reports , vol.57 , pp. 247-288
    • Charalambous, C.D.1    Hibey, J.L.2
  • 3
    • 4043087607 scopus 로고    scopus 로고
    • A sufficient stochastic maximum principle for optimal control of jump diffusions and applications to finance
    • (Errata, 2005, 124(2): 511-512)
    • Framstad NC, Øksendal B, Sulem A A sufficient stochastic maximum principle for optimal control of jump diffusions and applications to finance. Jour Optim Theory Appl 2004, 121(1):77-98. (Errata, 2005, 124(2): 511-512).
    • (2004) Jour Optim Theory Appl , vol.121 , Issue.1 , pp. 77-98
    • Framstad, N.C.1    Øksendal, B.2    Sulem, A.3
  • 4
    • 0026449891 scopus 로고
    • Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games
    • James MR Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games. Math Cont Sig Syst 1992, 5:401-417.
    • (1992) Math Cont Sig Syst , vol.5 , pp. 401-417
    • James, M.R.1
  • 5
    • 23144447826 scopus 로고    scopus 로고
    • A new risk-sensitive maximum principle
    • Lim AEB, Zhou X A new risk-sensitive maximum principle. IEEE Trans Autom Cont 2005, 50(7):958-966.
    • (2005) IEEE Trans Autom Cont , vol.50 , Issue.7 , pp. 958-966
    • Lim, A.E.B.1    Zhou, X.2
  • 6
    • 0036102920 scopus 로고    scopus 로고
    • Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon
    • Nagai H, Peng S Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon. Ann Appl Proba 2002, 12(1):173-195.
    • (2002) Ann Appl Proba , vol.12 , Issue.1 , pp. 173-195
    • Nagai, H.1    Peng, S.2
  • 7
    • 0031677847 scopus 로고    scopus 로고
    • Optimal stopping of controlled jump diffusion processes: A viscosity solution approach
    • Pham H Optimal stopping of controlled jump diffusion processes: A viscosity solution approach. Jour Math Sys Esti Cont 1998, 8(1):1-27.
    • (1998) Jour Math Sys Esti Cont , vol.8 , Issue.1 , pp. 1-27
    • Pham, H.1
  • 8
    • 79951673687 scopus 로고    scopus 로고
    • Relationship between MP and DPP for the stochastic optimal control problem of jump diffusions. Appl Math Optim, DOI: 10.1007/S00245-010-9115-8, published on line
    • Shi J. Wu Z. Relationship between MP and DPP for the stochastic optimal control problem of jump diffusions. Appl Math Optim, DOI: 10.1007/S00245-010-9115-8, published on line.
    • Shi, J.1    Wu, Z.2
  • 9
    • 79952137295 scopus 로고
    • A maximum principle for optimal controls of stochastic with random jumps//Proc National Conference on Control Theory and Its Applications. Qingdao, China
    • Situ R. A maximum principle for optimal controls of stochastic with random jumps//Proc National Conference on Control Theory and Its Applications. Qingdao, China, 1991.
    • (1991)
    • Situ, R.1
  • 10
    • 0028500888 scopus 로고
    • Necessary conditions for optimal control of stochastic systems with random jumps
    • Tang S, Li X Necessary conditions for optimal control of stochastic systems with random jumps. SIAM Jour Cont Optim 1994, 32(5):1447-1475.
    • (1994) SIAM Jour Cont Optim , vol.32 , Issue.5 , pp. 1447-1475
    • Tang, S.1    Li, X.2
  • 11
    • 0025488368 scopus 로고
    • A risk-sensitive maximum principle
    • Whittle P A risk-sensitive maximum principle. Sys Cont Lett 1990, 15:183-192.
    • (1990) Sys Cont Lett , vol.15 , pp. 183-192
    • Whittle, P.1
  • 12
    • 0026186685 scopus 로고
    • A risk-sensitive maximum principle: The case of imperfect state observation
    • Whittle P A risk-sensitive maximum principle: The case of imperfect state observation. IEEE Trans Autom Cont 1991, 36(7):793-801.
    • (1991) IEEE Trans Autom Cont , vol.36 , Issue.7 , pp. 793-801
    • Whittle, P.1
  • 14
    • 0030211386 scopus 로고    scopus 로고
    • Sufficient conditions of optimality for stochastic systems with controllable diffusions
    • Zhou X Sufficient conditions of optimality for stochastic systems with controllable diffusions. IEEE Trans Autom Cont 1996, 41(8):1176-1179.
    • (1996) IEEE Trans Autom Cont , vol.41 , Issue.8 , pp. 1176-1179
    • Zhou, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.