The probabilistic structure of controlled diffusion processes
From MaRDI portal
Publication:1097860
DOI10.1007/BF00047113zbMath0635.93079OpenAlexW2075574287MaRDI QIDQ1097860
Publication date: 1988
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00047113
Dynamic programming in optimal control and differential games (49L20) Optimal stochastic control (93E20) Diffusion processes (60J60) Probability theory on algebraic and topological structures (60B99) Existence of optimal solutions to problems involving randomness (49J55)
Related Items
Geometry of information structures, strategic measures and associated stochastic control topologies ⋮ On extremal solutions to stochastic control problems ⋮ A topology for Markov controls ⋮ Convex analytic method revisited: further optimality results and performance of deterministic policies in average cost stochastic control
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-term average cost control problems for continuous time Markov processes: A survey
- A note on controlled diffusions on line with time-averaged cost
- Martingale conditions for the optimal control of continuous time stochastic systems
- Lectures on topics in stochastic differential equations
- Control of a partially observed diffusion up to an exit time
- On a non-linear semi-group attached to stochastic optimal control
- Conjugate convex functions in optimal stochastic control
- Existence results for optimal stochastic controls
- Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- A stability theorem for stochastic differential equations and application to stochastic control problems
- Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions
- On the Relation of Zakai’s and Mortensen’s Equations
- Existence of optimal controls for partially observed diffusions
- Stationary control of Brownian motion in several dimensions
- Asymptotic Evolution of a Stochastic Control Problem
- The nisio semigroup for controlled diffusions with partial observations
- A remark on the attainable distributions of controlled diffusions
- Ergodic Control of Multidimensional Diffusions I: The Existence Results
- SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
- Existence de Solution et Algorithme de Résolution Numérique, de Problème de Contrôle Optimal de Diffusion Stochastique Dégénérée ou Non
- New results on the innovations problem for non-linear filtering
- ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
- Nonlinear Semigroup for Controlled Partially Observed Diffusions
- On the Existence of Optimal Controls for Partially Observed Diffusions
- Optimal Control for Partially Observed Diffusions
- Partially Observed Diffusions and Their Control
- Théorie probabiliste du contrôle des diffusions
- The Optimal Control of a Stochastic System
- On the Stochastic Maximum Principle
- Optimality Conditions for the Average Cost per Unit Time Problem with a Diffusion Model
- Compactification methods in the control of degenerate diffusions: existence of an optimal control
- On stochastic relaxed control for partially observed diffusions
- Representation of Martingales, Quadratic Variation and Applications
- Existence of Optimal Strategies Based on Specified Information, for a Class of Stochastic Decision Problems
- Necessary and Sufficient Dynamic Programming Conditions for Continuous Time Stochastic Optimal Control
- Existence of Optimal Stochastic Control Laws
- Dynamic Programming Conditions for Partially Observable Stochastic Systems
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT