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Volumn 55, Issue 6, 2010, Pages 1438-1443

Maximum principles for a class of partial information risk-sensitive optimal controls

Author keywords

Girsanov theorem; Maximum principle; Partial information; Risk sensitive control; Spike variation

Indexed keywords

CONTROL SYSTEMS; MATHEMATICAL MODELS;

EID: 77953108041     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2044275     Document Type: Article
Times cited : (28)

References (17)
  • 1
    • 55649100769 scopus 로고    scopus 로고
    • A maximum principle for stochastic differential games with partial information
    • T. T. K. An and B. Øksendal, "A maximum principle for stochastic differential games with partial information," J. Optim. Theory Appl., vol.139, pp. 463-483, 2008.
    • (2008) J. Optim. Theory Appl. , vol.139 , pp. 463-483
    • An, T.T.K.1    Øksendal, B.2
  • 2
    • 57949115555 scopus 로고    scopus 로고
    • A maximum principle approach to risk indifference pricing with partial information
    • T. T. K. An, B. Øksendal, and F. Proske, "A maximum principle approach to risk indifference pricing with partial information," J. Appl. Math. Stoch. Anal., vol.2008, pp. 15-15, 2008.
    • (2008) J. Appl. Math. Stoch. Anal. , vol.2008 , pp. 15-15
    • An, T.T.K.1    Øksendal, B.2    Proske, F.3
  • 3
    • 0024767145 scopus 로고
    • The partially observed stochastic minimum principle
    • J. S. Baras, R. J. Elliott, and M. Kohlmann, "The partially observed stochastic minimum principle," SIAM J. Control Optim., vol.27, pp. 1279-1292, 1989.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 1279-1292
    • Baras, J.S.1    Elliott, R.J.2    Kohlmann, M.3
  • 5
    • 0034392970 scopus 로고    scopus 로고
    • Risk-sensitve control and an optimal investment model
    • W. H. Fleming and S. J. Sheu, "Risk-sensitve control and an optimal investment model," Math. Finance, vol.10, pp. 197-213, 2000.
    • (2000) Math. Finance , vol.10 , pp. 197-213
    • Fleming, W.H.1    Sheu, S.J.2
  • 6
    • 0023306272 scopus 로고
    • The maximum principle for optimal control of difusions with partial information
    • U. G. Haussmann, "The maximum principle for optimal control of difusions with partial information," SIAM J. Control Optim., vol.25, pp. 341-361, 1987.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 341-361
    • Haussmann, U.G.1
  • 7
    • 0015615984 scopus 로고
    • Optimal stochastic linear systems with exponential criteria and their relation to deterministic differential games
    • Apr.
    • D. H. Jacobson, "Optimal stochastic linear systems with exponential criteria and their relation to deterministic differential games," IEEE Trans. Autom. Control, vol.18, no.2, pp. 124-131, Apr. 1973.
    • (1973) IEEE Trans. Autom. Control , vol.18 , Issue.2 , pp. 124-131
    • Jacobson, D.H.1
  • 8
    • 21844506371 scopus 로고
    • General necessary conditions for partially observed optimal stochastic controls
    • X. Li and S. Tang, "General necessary conditions for partially observed optimal stochastic controls," J. Appl. Prob., vol.32, pp. 1118-1137, 1995.
    • (1995) J. Appl. Prob. , vol.32 , pp. 1118-1137
    • Li, X.1    Tang, S.2
  • 9
    • 0035309173 scopus 로고    scopus 로고
    • Risk-sensitive control with HARA utility
    • Apr.
    • A. E. B. Lim and X. Zhou, "Risk-sensitive control with HARA utility," IEEE Trans. Autom. Control, vol.46, no.4, pp. 563-578, Apr. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.4 , pp. 563-578
    • Lim, A.E.B.1    Zhou, X.2
  • 10
    • 23144447826 scopus 로고    scopus 로고
    • A new risk-sensitive maximum principle
    • Jul.
    • A. E. B. Lim and X. Zhou, "A new risk-sensitive maximum principle," IEEE Trans. Autom. Control, vol.50, no.7, pp. 958-966, Jul. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.7 , pp. 958-966
    • Lim, A.E.B.1    Zhou, X.2
  • 11
    • 33748491531 scopus 로고    scopus 로고
    • Risk-sensitive quasi-variational inequalities for optimal investment with general transaction costs
    • H. Nagai, "Risk-sensitive quasi-variational inequalities for optimal investment with general transaction costs," Asym. Anal., vol.48, pp. 243-265, 2006.
    • (2006) Asym. Anal. , vol.48 , pp. 243-265
    • Nagai, H.1
  • 12
    • 0025462369 scopus 로고
    • A general stochastic maximum principle for optimal control problems
    • S. Peng, "A general stochastic maximum principle for optimal control problems," SIAM J. Control Optim., vol.28, pp. 966-979, 1990.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 966-979
    • Peng, S.1
  • 13
    • 0032167311 scopus 로고    scopus 로고
    • The maximum principle for partially observed stochastic differential equations
    • S. Tang, "The maximum principle for partially observed stochastic differential equations," SIAM J. Control Optim., vol.36, pp. 1596-1617.
    • SIAM J. Control Optim. , vol.36 , pp. 1596-1617
    • Tang, S.1
  • 14
    • 0001667951 scopus 로고
    • Risk-sensitive linear quadratic Gaussian control
    • P. Whittle, "Risk-sensitive linear quadratic Gaussian control," Adv. Appl. Prob., vol.13, pp. 764-767, 1974.
    • (1974) Adv. Appl. Prob. , vol.13 , pp. 764-767
    • Whittle, P.1
  • 15
    • 39449084427 scopus 로고    scopus 로고
    • Mean-variance portfolio selection under partial information
    • J. Xiong and X. Zhou, "Mean-variance portfolio selection under partial information," SIAM J. Control Optim., vol.46, pp. 156-175, 2007.
    • (2007) SIAM J. Control Optim. , vol.46 , pp. 156-175
    • Xiong, J.1    Zhou, X.2
  • 17
    • 0027697778 scopus 로고
    • On the necessary conditions of optimal controls for stochastic partial diffierential equations
    • X. Zhou, "On the necessary conditions of optimal controls for stochastic partial diffierential equations," SIAM J. Control Optim., vol.31, pp. 1462-1478, 1993.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 1462-1478
    • Zhou, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.