Inseparability of Min-max Systems

Min-max systems, or min-max-plus systems are algebraic models of Discrete Event Dynamic Systems. They are non-linear extension of the well known linear max-plus system models. In this paper, we survey our recent research results related to the structural property ”inseparability” of min-max systems proposed in [24]. It turns out inseparability has very interesting relationship to many aspects of min-max systems. It has been applied to the stabilization of min-max systems. It also has interesting implications to other important research areas including bio-informatics and artificial neural networks.