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Value iteration convergence of ?-monotone schemes for stationary Hamilton-Jacobi equations (2015)
Journal Article
Bokanowski, O., Falcone, M., Ferretti, R., Grüne, L., Kalise, D., & Zidani, H. (2015). Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4041-4070. https://doi.org/10.3934/dcds.2015.35.4041

We present an abstract convergence result for the fixed point approximation of stationary Hamilton-Jacobi equations. The basic assumptions on the discrete operator are invariance with respect to the addition of constants, ?-monotonicity and consisten... Read More about Value iteration convergence of ?-monotone schemes for stationary Hamilton-Jacobi equations.

An Efficient Policy Iteration Algorithm for Dynamic Programming Equations (2015)
Journal Article
Alla, A., Falcone, M., & Kalise, D. (2015). An Efficient Policy Iteration Algorithm for Dynamic Programming Equations. SIAM Journal on Scientific Computing, 37(1), A181-A200. https://doi.org/10.1137/130932284

© 2015 Society for Industrial and Applied Mathematics. We present an accelerated algorithm for the solution of static Hamilton–Jacobi–Bellman equations related to optimal control problems. Our scheme is based on a classic policy iteration procedure,... Read More about An Efficient Policy Iteration Algorithm for Dynamic Programming Equations.

(UN)conditional consensus emergence under perturbed and decentralized feedback controls (2015)
Journal Article
Bongini, M., Fornasier, M., & Kalise, D. (2015). (UN)conditional consensus emergence under perturbed and decentralized feedback controls. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4071-4094. https://doi.org/10.3934/dcds.2015.35.4071

We study the problem of consensus emergence in multi-agent systems via external feedback controllers. We consider a set of agents interacting with dynamics given by a Cucker-Smale type of model, and study its consensus stabilization by means of centr... Read More about (UN)conditional consensus emergence under perturbed and decentralized feedback controls.