State feedback stabilization of single-input min-max-plus systems

Min-max-plus systems are discrete-event systems in which the operations minimum, maximum and addition appear simultaneously. This paper describes a general model of single-input min-max-plus systems and proposes the concept of the state feedback stabilization for these systems. It is derived that the reachable single-input min-max-plus systems can be stabilized using the max-plus linear state feedback. The method based on max-plus algebra is constructive in nature and yields a direct design to achieve the feedback stabilization.