Dynamic team optimality conditions of distributed stochastic differential decision systems with decentralized noisy information structures
Date
2013ISBN
978-1-4673-5717-3Publisher
Institute of Electrical and Electronics Engineers Inc.Source
Proceedings of the IEEE Conference on Decision and ControlProceedings of the IEEE Conference on Decision and Control
Pages
5222-5227Google Scholar check
Keyword(s):
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We derive team and Person-by-Person (PbP) optimality conditions using the stochastic Pontryagin's maximum principle, for distributed stochastic differential decision systems with decentralized noisy information structures. The optimality conditions are given by a Hamiltonian system consisting of forward and backward stochastic differential equations, and conditional Hamiltonians. We also show that, under global convexity conditions, PbP optimality implies team optimality. Finally, we apply the stochastic maximum principle to examples from communications, filtering and control. © 2013 IEEE.