Persistence Analysis of Interconnected Positive Systems with MIMO Subsystems

Abstract

This paper presents sufficient conditions for persistence of the interconnected positive systems for MIMO subsystems. The obtained conditions are on the structure of the transfer function matrix, the steady state gain for every subsystem and the structure of the interconnection matrix. As a result, the output of the subsystem converges to a vector on a convex cone which is included in the positive cone. The resulting conditions include the existing conditions for the persistence in the case where every subsystem is SISO. Numerical examples illustrate the persistence analysis results.