Keywords
- Brownian Motion
- Riemannian Manifold
- Stochastic Differential Equation
- Stochastic System
- Orthonormal Frame
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References
R. H. Cameron and W. T. Martin, Transformation of Wiener integrals under a general class of linear transformations, Trans. Amer. Math. Soc. 58 (1945), 184–219.
M. H. Davis and P. Varaiya, Dynamic programming conditions for partially observable stochastic systems, SIAM J. Control 11 (1973), 226–261.
T. E. Duncan, Dynamic programming optimality criteria for stochastic systems in Riemannian manifolds, Appl. Math. and Optimization 3 (1977), 191–208.
T. E. Duncan, Stochastic systems in Riemannian manifolds, to appear in J. Optimization Th. and Appl.
I. V. Girsanov, On transforming a certain class of stochastic processes by absolutely continuous substitution of measures, Theor. Probability Appl. 5 (1960), 285–301.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, V.I. Interscience, New York, 1963.
H. P. McKean, Brownian motions on the 3-dimensional rotation group, Mem. Coll. Sci. Kyoto Univ., 33 (1960), 25–38.
R. Rishel, Necessary and sufficient dynamic programming conditions for continuous-time stochastic optimal control, SIAM J. Control 8 (1970), 559–571.
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© 1978 Springer-Verlag
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Duncan, T.E. (1978). Optimal control of stochastic systems in a sphere bundle. In: Kallianpur, G., Kölzow, D. (eds) Measure Theory Applications to Stochastic Analysis. Lecture Notes in Mathematics, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062654
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DOI: https://doi.org/10.1007/BFb0062654
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Print ISBN: 978-3-540-09098-4
Online ISBN: 978-3-540-35556-4
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