Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure or non-negative perturbation matrices

摘要

Simple necessary and sufficient conditions for robust stability of the positive linear discrete-time systems with delays with linear uncertainty structure in two cases:1) unity rank uncertainty structure,2) non-negative perturbation matrices,are established.The proposed conditions are compared with the suitable conditions for the standard systems.The considerations are illustrated by numerical examples.