English

Team and Person-by-Person Optimality Conditions of Differential Decision Systems

Optimization and Control 2013-05-21 v1

Abstract

In this paper, we derive team and person-by-person optimality conditions for distributed differential decision systems with different or decentralized information structures. The necessary conditions of optimality are given in terms of Hamiltonian system of equations consisting of a coupled backward and forward differential equations and a Hamiltonian projected onto the subspace generated by the decentralized information structures. Under certain global convexity conditions it is shown that the optimality conitions are also sufficient.

Keywords

Cite

@article{arxiv.1305.4468,
  title  = {Team and Person-by-Person Optimality Conditions of Differential Decision Systems},
  author = {Charalambos D. Charalambous and Themistoklis Charalambous and Christoforos N. Hadjicostis},
  journal= {arXiv preprint arXiv:1305.4468},
  year   = {2013}
}

Comments

8 pages, 1 figure. arXiv admin note: text overlap with arXiv:1302.3452, arXiv:1304.3246