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Cohort-type models and their reachability and controllability properties.

James D.J.G., Rumchev V.G.

Systems Science

2000

Vol. 26, nr 2

43-54

Cohort-type models have a wealth of structure and are important in many fields of application. Being a sub-class of linear positive systems, such a model structure belongs to this class of constrained linear systems which are defined on cones and not on linear spaces. As a consequence much of the theory developed for linear systems is not directly applicable. Whilst the dynamics of cohort-type models. Are well understood their reachability and controllability properties have received little attention in the literature. Using a graph-theoretic characterisation the paper examines these fundamental properties and includes application to some specific models.