Proceedings Article10.1109/NDS.2009.5192003
Dynamic programming for 2D discrete nonlinear systems
M. Dymkov,Krzysztof Galkowski,Eric Rogers +2 more
- 07 Aug 2009
- pp 1-6
TL;DR: The dynamic programming approach is generalized to 2D discrete nonlinear systems and a generalized Bellman function is introduced and an alternative to this function is developed which gives more computationally tractable necessary conditions for optimality.
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Abstract: In this paper the dynamic programming approach is generalized to 2D discrete nonlinear systems. In particular, a generalized Bellman function is introduced and then to develop necessary and sufficient optimality conditions for a nonlinear optimization problem associated with the systems considered. Finally, with a view to application to examples, an alternative to this function is developed which gives more computationally tractable necessary conditions for optimality.
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References
Dynamic programming and maximum principle for discrete Goursat systems
TL;DR: In this article, the dynamic programming equations for discrete Goursat systems were obtained, and a maximum principle of Pontryagin's type was proved for optimality of these equations.
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