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All issues Volume 28 (2022) ESAIM: COCV, 28 (2022) 35 References
Open Access
Issue
ESAIM: COCV
Volume 28, 2022
Article Number 35
Number of page(s) 17
DOI https://doi.org/10.1051/cocv/2022030
Published online 02 June 2022
  1. J. Bismut, Conjugate convex functions in optimal stochastic control. J. Math. Anal. Appl. 44 (1973) 384–404. [CrossRef] [MathSciNet] [Google Scholar]
  2. X. Bi, J. Sun and J. Xiong, Optimal control for controllable stochastic linear systems. ESAIM: COCV 26 (2020) 98. [CrossRef] [EDP Sciences] [Google Scholar]
  3. K. Du, J. Huang and Z. Wu, Linear quadratic mean-field-game of backward stochastic differential systems. Math. Control Relat. Fields 8 (2018) 653–678. [CrossRef] [MathSciNet] [Google Scholar]
  4. M. Davis, Linear Estimation and Stochastic Control. Chapman and Hall, London (1977). [Google Scholar]
  5. J. Huang, G. Wang and J. Xiong, A maximum principle for partial information backward stochastic control problems with applications. SIAM J. Control Optim. 48 (2009) 2106–2117. [CrossRef] [MathSciNet] [Google Scholar]
  6. J. Huang, S. Wang and Z. Wu, Backward mean-field linear-quadratic-Gaussian (LQG) games: full and partial information. IEEE Trans. Automat. Control 61 (2016) 3784–3796. [CrossRef] [MathSciNet] [Google Scholar]
  7. A.E.B. Lim and X.Y. Zhou, Linear-quadratic control of backward stochastic differential equations. SIAM J. Control Optim. 40 (2001) 450–474. [CrossRef] [MathSciNet] [Google Scholar]
  8. X. Li, J. Sun and J. Xiong, Linear quadratic optimal control problems for mean-field backward stochastic differential equations. Appl. Math. Optim. 80 (2019) 223–250. [CrossRef] [MathSciNet] [Google Scholar]
  9. J. Ma and J. Yong, Forward-backward stochastic differential equations and their applications. Lecture Notes in Math., Springer-Verlag, New York (1999). [Google Scholar]
  10. E. Pardoux and S. Peng, Adapted solution of a backward stochastic differential equation. Syst. Control Lett. 14 (1990) 55—61. [CrossRef] [Google Scholar]
  11. H. Pham, Continuous-Time Stochastic Control and Optimization with Financial Applications. Springer-Verlag, Berlin (2009). [Google Scholar]
  12. S. Peng, Backward stochastic differential equation, nonlinear expectation and their applications, in Proceedings of the International Congress of Mathematicians (2010), Vol. I, pp. 393—432. [Google Scholar]
  13. J. Sun and H. Wang, Linear-quadratic optimal control for backward stochastic differential equations with random coefficients. ESAIM: COCV 27 (2021) 46. [CrossRef] [EDP Sciences] [Google Scholar]
  14. J. Sun, Z. Wu and J. Xiong, Indefinite Backward Stochastic Linear-Quadratic Optimal Control Problems. Preprint arXiv.org/abs/2104.04747v1. [Google Scholar]
  15. G. Wang, Z. Wu and J. Xiong, Partial information LQ optimal control of backward stochastic differential equations, in Proceedings of the 10th World Congress on Intelligent Control and Automation. IEEE (2012), pp. 1694–1697. [Google Scholar]
  16. G. Wang, H. Xiao and J. Xiong, A kind of LQ non-zero sum differential game of backward stochastic differential equation with asymmetric information. Automatica 97 (2018) 346–352. [CrossRef] [Google Scholar]
  17. J. Wen, X. Li and J. Xiong, Weak closed-loop solvability of stochastic linear quadratic optimal control problems of Markovian regime switching system. Appl. Math. Optim. 84 (2021) 535–565. [CrossRef] [MathSciNet] [Google Scholar]
  18. W. Wonham, On a matrix Riccati equation of stochastic control. SIAM J. Control 6 (1968) 681–697. [CrossRef] [MathSciNet] [Google Scholar]
  19. J. Yong and X.Y. Zhou, Stochastic Controls: Hamiltonian Systems and HJB Equations. Springer-Verlag, New York (1999). [Google Scholar]
  20. J. Zhang, Backward Stochastic Differential Equations: From Linear to Fully Nonlinear Theory. Springer-Verlag, New York (2017). [Google Scholar]

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