Mean-field, infinite horizon, optimal control of nonlinear stochastic delay system governed by Teugels martingales associated with Lévy processes
DOI10.1007/s40304-018-0143-zzbMath1419.49008OpenAlexW2883538208MaRDI QIDQ2316092
Publication date: 26 July 2019
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40304-018-0143-z
infinite horizonLévy processesstochastic maximum principleTeugels martingalesmean-fieldbackward stochastic delay differential equation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Maximum principles in context of PDEs (35B50) Optimal stochastic control (93E20) Existence theories for optimal control problems involving ordinary differential equations (49J15)
Cites Work
- Unnamed Item
- On mean-field partial information maximum principle of optimal control for stochastic systems with Lévy processes
- A stochastic maximum principle in mean-field optimal control problems for jump diffusions
- Maximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to finance
- Optimal control of mean-field jump-diffusion systems with delay: a stochastic maximum principle approach
- Near-relaxed control problem of fully coupled forward-backward doubly system
- The Pontryagin maximum principle and problems of optimal economic growth
- Infinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial information
- Chaotic and predictable representations for Lévy processes.
- Stochastic maximum principle in the mean-field controls
- A mean-field necessary and sufficient conditions for optimal singular stochastic control
- A maximum principle for fully coupled stochastic control systems of mean-field type
- Infinite horizon optimal control of forward-backward stochastic differential equations with delay
- Mean-field maximum principle for optimal control of forward-backward stochastic systems with jumps and its application to mean-variance portfolio problem
- Maximum principles for jump diffusion processes with infinite horizon
- A stochastic linear-quadratic problem with Lévy processes and its application to finance
- On the stochastic maximum principle. Fixed time of control
- Some Solvable Stochastic Control Problems With Delay
- A Maximum Principle for Infinite Horizon Delay Equations
- Infinite horizon optimal control of forward–backward stochastic system driven by Teugels martingales with Lévy processes
- Lévy Processes and Stochastic Calculus
- Consensus Problems with Distributed Delays, with Application to Traffic Flow Models
- Mean Field Games and Mean Field Type Control Theory
- Backward stochastic differential equations and Feynman-Kac formula for Lévy processes, with applications in finance
This page was built for publication: Mean-field, infinite horizon, optimal control of nonlinear stochastic delay system governed by Teugels martingales associated with Lévy processes