Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton–Jacobi PDEs
Author:
Funder
AFOSR
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering
Link
https://link.springer.com/content/pdf/10.1007/s00498-022-00333-2.pdf
Reference159 articles.
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2. Akian M, Bapat R, Gaubert S (2006) Max-plus algebra. Handbook of linear algebra 39
3. Akian M, Gaubert S, Lakhoua A (2008) The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. SIAM J Control Optim 47(2):817–848
4. Albi G, Bicego S, Kalise D (2021) Gradient-augmented supervised learning of optimal feedback laws using state-dependent riccati equations. Preprint arXiv:2103.04091
5. Alla A, Falcone M, Saluzzi L (2019) An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. SIAM J Sci Comput 41(4):A2384–A2406
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