334 citations · 2.6k across the 129 of their papers we have counts for
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math.FA2002★ 234 cited
Duality and separation theorems in idempotent semimodules
Guy Cohen, Stephane Gaubert, Jean-Pierre Quadrat
We consider subsemimodules and convex subsets of semimodules over semirings with an idempotent addition. We introduce a nonlinear projection on subsemimodules: the projection of a…
math.OC2002★ 14 cited
Rational semimodules over the max-plus semiring and geometric approach of discrete event systems
Stephane Gaubert, Ricardo Katz
We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete e…