Geodesic
The Idempotent Analog of Resolvent Kernels for a Deterministic Optimal Control Problem
Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 235-244

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A solution of a discrete Hamilton–Jacobi–Bellman equation is represented in terms of idempotent analysis as a convergent series of integral operators. 
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     author = {P. Loreti and M. Pedichini},
     title = {The {Idempotent} {Analog} of {Resolvent} {Kernels} for a {Deterministic} {Optimal} {Control} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
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P. Loreti; M. Pedichini. The Idempotent Analog of Resolvent Kernels for a Deterministic Optimal Control Problem. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a7/