Scalable Mesh Stability of Nonlinear Interconnected Systems

This letter deals with large-scale interconnected systems with general network topology, affected by external disturbances, and with the possibility to ensure the overall stability when some sufficient conditions are met by each agent with respect to its neighbors. We introduce the notion of scalable Mesh Stability (sMS), that requires the existence of trajectory bounds that do not depend on the number of subsystems. The immediate consequence is that perturbations originating in a point of the interconnected system do not amplify through it. A numerical example on interconnection of microgrids shows the interest and the effectiveness of the theoretical result.