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Volumn 35, Issue 6, 1997, Pages 2021-2049

Risk-sensitive and robust escape criteria

Author keywords

Exit time control; Large deviations; Risk sensitive control; Robust control

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; PROBLEM SOLVING; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA;

EID: 0031272837     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012995281626     Document Type: Article
Times cited : (48)

References (33)
  • 2
    • 0024070155 scopus 로고
    • Exit time problems in optimal control and the vanishing viscosity method
    • G. BARLES AND B. PERTHAME, Exit time problems in optimal control and the vanishing viscosity method, SIAM J. Control Optim., 26 (1988), pp. 1133-1148.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1133-1148
    • Barles, G.1    Perthame, B.2
  • 6
    • 85033311505 scopus 로고
    • Random perturbations in power system dynamics: A large deviations approach to security assessment
    • Dept. of Electrical Engineering, Princeton University, Princeton, NJ, March
    • C. L. DEMARCO, Random perturbations in power system dynamics: A large deviations approach to security assessment, in Proceedings of the 22nd Annual Conference on Information Sciences and Systems, Dept. of Electrical Engineering, Princeton University, Princeton, NJ, March 1988.
    • (1988) Proceedings of the 22nd Annual Conference on Information Sciences and Systems
    • Demarco, C.L.1
  • 7
    • 0022785462 scopus 로고
    • Large deviations estimates for systems with small noise effects, and applications to stochastic systems theory
    • P. DUPUIS AND H. J. KUSHNER, Large deviations estimates for systems with small noise effects, and applications to stochastic systems theory, SIAM J. Control Optim., 24 (1986), pp. 979-1008.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 979-1008
    • Dupuis, P.1    Kushner, H.J.2
  • 8
    • 0024626224 scopus 로고
    • Minimizing exit probabilities; a large deviations approach
    • P. DUPUIS AND H. J. KUSHNER, Minimizing exit probabilities; a large deviations approach, SIAM J. Control Optim., 27 (1989), pp. 432-445.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 432-445
    • Dupuis, P.1    Kushner, H.J.2
  • 9
    • 0023362243 scopus 로고
    • Stochastic systems with small noise, analysis and simulation; a phase locked loop example
    • P. DUPUIS AND H. J. KUSHNER, Stochastic systems with small noise, analysis and simulation; a phase locked loop example, SIAM J. Appl. Math., 47 (1987), pp. 643-661.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 643-661
    • Dupuis, P.1    Kushner, H.J.2
  • 10
    • 0002638071 scopus 로고
    • The Existence of Value in Differential Games
    • AMS, Providence, RI
    • R. J. ELLIOTT AND N. J. KALTON, The Existence of Value in Differential Games, Mem. Amer. Math. Soc. 126, AMS, Providence, RI, 1972.
    • (1972) Mem. Amer. Math. Soc. 126
    • Elliott, R.J.1    Kalton, N.J.2
  • 11
    • 0000102846 scopus 로고
    • Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations
    • L. C. EVANS AND P. E. SOUGANIDIS, Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations, Indiana Univ. Math. J., 33 (1984), pp. 773-797.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 773-797
    • Evans, L.C.1    Souganidis, P.E.2
  • 12
    • 0028738721 scopus 로고
    • Risk-sensitive optimal control of hidden Markov models: A case study
    • IEEE, Piscataway, NJ
    • E. FERNANDEZ-GAUCHERAND AND S. I. MARCUS, Risk-sensitive optimal control of hidden Markov models: A case study, in Proc. 33rd IEEE Conf. on Decision and Control, 1994, IEEE, Piscataway, NJ, pp. 1657-1662.
    • (1994) Proc. 33rd IEEE Conf. on Decision and Control , pp. 1657-1662
    • Fernandez-Gaucherand, E.1    Marcus, S.I.2
  • 13
    • 0018156010 scopus 로고
    • Exit probabilities and optimal stochastic control
    • W. H. FLEMING, Exit probabilities and optimal stochastic control, Applied Math. Optim., 4 (1978), pp. 329-346.
    • (1978) Applied Math. Optim. , vol.4 , pp. 329-346
    • Fleming, W.H.1
  • 14
    • 0001234347 scopus 로고
    • Risk sensitive control on an infinite time horizon
    • W. H. FLEMING AND W. M. MCENEANEY, Risk sensitive control on an infinite time horizon, SIAM J. Control Optim., 33 (1995), pp. 1881-1915.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1881-1915
    • Fleming, W.H.1    Mceneaney, W.M.2
  • 19
    • 0000097584 scopus 로고
    • On the existence of value functions of two-player, zero-sum stochastic differential games
    • W. H. FLEMING AND P. E. SOUGANIDIS, On the existence of value functions of two-player, zero-sum stochastic differential games, Indiana Univ. Math. J., 38 (1989), pp. 293-314.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 293-314
    • Fleming, W.H.1    Souganidis, P.E.2
  • 22
    • 0347008407 scopus 로고
    • ∞ control via measurement feedback for affine nonlinear systems
    • IEEE, Piscataway, NJ
    • ∞ control via measurement feedback for affine nonlinear systems, in Proc. 31st IEEE Conf. on Decision and Control, IEEE, Piscataway, NJ, 1992.
    • (1992) Proc. 31st IEEE Conf. on Decision and Control
    • Isidori, A.1
  • 23
    • 0026449891 scopus 로고
    • Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games
    • M. R. JAMES, Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games, Math. Control, Signals Systems, 5 (1992), pp. 401-417.
    • (1992) Math. Control, Signals Systems , vol.5 , pp. 401-417
    • James, M.R.1
  • 24
    • 0027684440 scopus 로고
    • A partial differential inequality for dissipative nonlinear systems
    • M. R. JAMES, A partial differential inequality for dissipative nonlinear systems, Systems Control Lett., 21 (1993), pp. 315-320.
    • (1993) Systems Control Lett. , vol.21 , pp. 315-320
    • James, M.R.1
  • 27
    • 0029378615 scopus 로고
    • Uniqueness for viscosity solutions of nonstationary HJB equations under some a priori conditions (with applications)
    • W. M. MCENEANEY, Uniqueness for viscosity solutions of nonstationary HJB equations under some a priori conditions (with applications), SIAM J. Control Optim., 33 (1995), pp. 156-1576.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 156-1576
    • Mceneaney, W.M.1
  • 29
    • 0027810469 scopus 로고
    • Risk-sensitive control of Markov chains and differential games
    • IEEE, Piscataway, NJ
    • T. RUNOLFSSON, Risk-sensitive control of Markov chains and differential games, in Proc. 32nd IEEE Conf. on Decision and Control, IEEE, Piscataway, NJ, 1993.
    • (1993) Proc. 32nd IEEE Conf. on Decision and Control
    • Runolfsson, T.1
  • 32
    • 0000028686 scopus 로고
    • On strong solutions and explicit formulas for solutions of stochastic integral equations
    • A. J. VERETENNIKOV, On strong solutions and explicit formulas for solutions of stochastic integral equations, Math. USSR-Sb., 39 (1981), pp. 387-403.
    • (1981) Math. USSR-Sb. , vol.39 , pp. 387-403
    • Veretennikov, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.