An Optimal Feedback Control-Strategy Pair For Zero-Sum Linear-Quadratic Stochastic Differential Game: the Riccati Equation Approach
DOI10.1137/130947465zbMath1332.60089OpenAlexW941869882WikidataQ115246985 ScholiaQ115246985MaRDI QIDQ5502184
Publication date: 18 August 2015
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130947465
stochastic optimal controllinear-quadratic problemRiccati equationstochastic differential gameforward-backward stochastic differential equationoptimal feedback control-strategy pair
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Optimal feedback synthesis (49N35) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Optimal stochastic control (93E20) Linear-quadratic optimal control problems (49N10) Stochastic games, stochastic differential games (91A15)
Related Items (22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adapted solution of a backward stochastic differential equation
- Stochastic representation for solutions of Isaacs' type integral-partial differential equations
- Zero-sum stochastic differential games and backward equations
- Linear forward-backward stochastic differential equations with random coefficients
- Two-person zero-sum linear quadratic stochastic differential games by a Hilbert space method
- Forward-backward stochastic differential equations and their applications
- Backward-forward SDE's and stochastic differential games
- Solution of forward-backward stochastic differential equations
- A partial information non-zero sum differential game of backward stochastic differential equations with applications
- On well-posedness of forward-backward SDEs -- a unified approach
- Continuous-time mean-variance portfolio selection with random horizon
- Solvability of indefinite stochastic Riccati equations and linear quadratic optimal control problems
- Forward-backward stochastic differential equations, linear quadratic stochastic optimal control and nonzero sum differential games
- A Weak Dynamic Programming Principle for Zero-Sum Stochastic Differential Games with Unbounded Controls
- Stochastic Differential Games Involving Impulse Controls and Double-Obstacle Quasi-variational Inequalities
- Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations
- Regularity Properties for General HJB Equations: A Backward Stochastic Differential Equation Method
- Time-Inconsistent Stochastic Linear--Quadratic Control
- Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations
- Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
- Multidimensional Backward Stochastic Riccati Equations and Applications
- General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations
- A Leader-Follower Stochastic Linear Quadratic Differential Game
- Equivalent cost functionals and stochastic linear quadratic optimal control problems
- Existence of Solutions to a Class of Indefinite Stochastic Riccati Equations
- A Pontryagin's Maximum Principle for Non-Zero Sum Differential Games of BSDEs with Applications
- On a Matrix Riccati Equation of Stochastic Control
- The existence of value in differential games
This page was built for publication: An Optimal Feedback Control-Strategy Pair For Zero-Sum Linear-Quadratic Stochastic Differential Game: the Riccati Equation Approach