On max-plus two-sided linear systems whose solution sets are min-plus linear

Yasutaka Ooga, Yuki Nishida, Yoshihide Watanabe

The max-plus algebra $\mathbb{R}\cup \{-\infty \}$ is defined in terms of a combination of the following two operations: addition, $a\oplus b:=\max (a,b)$, and multiplication, $a…