Global Robustness with q-Step Delay for Max-Plus Linear Systems

Abstract

Abstract This paper considers the global robustness of max-plus linear systems and investigates the global robustness with q-step delay, which requires the states keep unchanged under the bounded parameter perturbations after finite number of activities. For a class of stable max-plus linear systems, the variable elements with respect to the global robustness with q-step delay are found out under arbitrary initial states based on a graph method. A numerical example and its simulation are presented to illustrate the results.