Autonomous Synchronization of Discrete-Time Heterogeneous Multiagent Systems

TL;DR

This paper presents a new, less conservative method for achieving autonomous synchronization in discrete-time heterogeneous multiagent systems by transforming the problem into an asymptotic decoupling issue and establishing synchronization conditions.

Contribution

It introduces a unified approach that applies to both homogeneous and heterogeneous systems, reducing conservativeness compared to existing methods.

Findings

Established synchronization conditions based on initial dynamic matrices

Reduced conservativeness of synchronization criteria

Validated theoretical results with numerical simulations

Abstract

This paper investigates the autonomous synchronization problem for discrete-time heterogeneous multiagent systems. The synchronization problem is transformed into the asymptotic decoupling problem of stable modes in a class of discrete-time linear time-varying systems, for which we provide a sufficient condition. Leveraging this condition, synchronization conditions are established. The synchronization conditions are based on the average of the agents' initial dynamic matrices, without requiring the differences among these matrices to be small. This approach reduces the conservativeness of existing conditions and achieves a unification of both homogeneous and heterogeneous systems. Numerical simulation results are provided to support the theoretical findings.