A class of numerical methods for determining the inclusion relation of positive invariant sets in linear dynamic systems

Positive invariant sets play an important role in the system theory and a:lication of dynamic systems. Firstly, in order to judge the inclusion relation between positive invariant sets of systems, the equivalent conditions for judging the inclusion relation of special positive invariant sets are derived for two special positive invariant sets. Three specific positive invariant subsets are discussed, and the verification of the inclusion relation of positive invariant sets can be transformed into a class of numerical problem in the form of optimization, which simplify the conditions of readily implemented. Finally, numerical examples are given to illustrate our conclusion.