Dissipativity Reinforcement in a Class of Interconnected Systems via Scale-Expansion

Abstract

In this paper, we find a large-scale interconnected dynamical system that reinforces its own dissipation performance via scale-expansion. First, a special class of dissipative systems is defined, which reinforces the dissipation performance via negative feedback connection. Then, the dissipativity reinforcement analysis is further extended to that for large-scale interconnected systems. We find two interconnection rules on which the interconnected system gradually reinforces the performance via the increase of the number of subsystems.