Normalization and Synchronization of Networked Dynamical Descriptor System

In this paper, we address synchronization in networked dynamical descriptor systems (NDDS), where followers must synchronize with the leader’s state. We propose a novel distributed proportional-derivative (PD) feedback control design procedure to achieve this. Specifically, local distributed derivative feedback is used to increase the dynamical order of the global synchronization error dynamics, which initially lack sufficient order due to algebraic constraints. Additionally, local distributed proportional control ensures synchronization of the followers with the leader’s dynamics. Simulations are also presented to vindicate the theoretical claims.