Peng's maximum principle for a stochastic control problem driven by a fractional and a standard Brownian motion
DOI10.1007/s11425-014-4826-yzbMath1305.93205arXiv1605.01666OpenAlexW2058380216MaRDI QIDQ477274
Publication date: 3 December 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01666
maximum principlevariational inequalityfractional Brownian motionbackward stochastic differential equationGirsanov transformationstochastic control systemGaltchouk-Kunita-Watanabe decomposition
Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Optimal stochastic control (93E20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Maximum principle for general controlled systems driven by fractional Brownian motions
- Stochastic differential equations driven by fractional Brownian motions
- A general stochastic maximum principle for SDEs of mean-field type
- Semilinear backward doubly stochastic differential equations and SPDEs driven by fractional Brownian motion with Hurst parameter in \((0,1/2)\)
- Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations
- A stochastic maximum principle for processes driven by fractional Brownian motion.
- An extension of the divergence operator for Gaussian processes
- Stochastic integral of divergence type with respect to fractional Brownian motion with Hurst parameter \(H \in (0,\frac {1}{2})\)
- Existence and Uniqueness of the Solution of Stochastic Differential Equation Involving Wiener Process and Fractional Brownian Motion with Hurst IndexH > 1/2
- A General Stochastic Maximum Principle for Optimal Control Problems
- Linear Stochastic Differential Equations Driven by a Fractional Brownian Motion with Hurst Parameter Less than 1/2
- Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion
- Existence of an optimal control for stochastic control systems with nonlinear cost functional
- An Introductory Approach to Duality in Optimal Stochastic Control
- Anticipative Girsanov transformations and Skorohod stochastic differential equations
- Stochastic Control for Linear Systems Driven by Fractional Noises
- On Square Integrable Martingales
This page was built for publication: Peng's maximum principle for a stochastic control problem driven by a fractional and a standard Brownian motion