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math.OC2003★ 32 cited
Reachability problems for products of matrices in semirings
Stephane Gaubert, Ricardo Katz
We consider the following matrix reachability problem: given square matrices with entries in a semiring, is there a product of these matrices which attains a prescribed matrix?…
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…