Concept

Bellman equation

Related publications (182)

Approximate dynamic programming for stochastic reachability

In this work we illustrate how approximate dynamic programing can be utilized to address problems of stochastic reachability in infinite state and control spaces. In particular we focus on the reach-avoid problem and approximate the value function on a lin ...

2013

Free-Boundary Simulations of ITER Advanced Scenarios

Karim Besseghir

The successful operation of ITER advanced scenarios is likely to be a major step forward in the development of controlled fusion as a power production source. ITER advanced scenarios raise specific challenges that are not encountered in presently-operated ...

EPFL2013

Optimal control for Partial Differential Equations

Antoine Giovanni Imboden

In this project report, we first present the application of the finite elements method to the numerical approximation of elliptic and parabolic PDEs over two-dimensional domains. We then consider the theory and numerical approximation of optimal control pr ...

2013

Transfer in Inverse Reinforcement Learning for Multiple Strategies

Aude Billard, Ajay Kumar Tanwani

We consider the problem of incrementally learning different strategies of performing a complex sequential task from multiple demonstrations of an expert or a set of experts. While the task is the same, each expert differs in his/her way of performing it. W ...

2013

Transfer in Inverse Reinforcement Learning for Multiple Strategies

Aude Billard, Ajay Kumar Tanwani

Ieee2013

Approximate dynamic programming via sum of squares programming

Maryam Kamgarpour, Tyler Summers

We describe an approximate dynamic programming method for stochastic control problems on infinite state and input spaces. The optimal value function is approximated by a linear combination of basis functions with coefficients as decision variables. By rela ...

2013

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

In this work we deal with a stochastic optimal Robin boundary control problem constrained by an advection-diffusion-reaction elliptic equation with advection-dominated term. We assume that the uncertainty comes from the advection led and consider a stochas ...

Society for Industrial and Applied Mathematics2013

Cover Tree Bayesian Reinforcement Learning

Christos Dimitrakakis, Nikolaos Tziortziotis

This paper proposes an online tree-based Bayesian approach for reinforcement learning. For inference, we employ a generalised context tree model. This defines a distribution on multivariate Gaussian piecewise-linear models, which can be updated in closed f ...

2013

Study of optimal design of polygeneration systems in optimal control strategies

François Maréchal, Mario Paolone, Ramanunni Parakkal Menon

The concept of smart grids being developed involves interdependence between the electrical, thermal and material flows. Control strategies are required for the optimal operation of these modern grids. This paper studies the optimal design of multi-node mic ...

Elsevier2013

Study of optimal design of polygeneration systems in optimal control strategies

François Maréchal, Mario Paolone, Ramanunni Parakkal Menon

Pergamon-Elsevier Science Ltd2013

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