Autonomous Synchronization of Discrete-Time Heterogeneous Multiagent Systems
For control theorists working on multiagent systems, this offers a less conservative synchronization condition that does not require small differences in agent dynamics.
The paper addresses autonomous synchronization in discrete-time heterogeneous multiagent systems, providing a sufficient condition that reduces conservativeness compared to existing methods and unifies homogeneous and heterogeneous cases.
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.