Containment Control of Asynchronous Discrete-Time General Linear Multiagent Systems With Arbitrary Network Topology.

Area of Science:

• Control Theory
• Systems Engineering
• Distributed Computing

Background:

• Multiagent systems (MASs) present challenges in coordinated control, especially under asynchronous communication and complex network topologies.
• Existing containment control strategies often assume synchronized interactions and restricted network structures, limiting their applicability.
• Understanding leader-follower dynamics is crucial for achieving collective behavior in decentralized systems.

Purpose of the Study:

• To develop and analyze an asynchronous distributed algorithm for containment control in general linear MASs.
• To address scenarios with unrestricted network topologies and independently timed agent interactions.
• To establish theoretical guarantees for follower convergence within a leader-defined dynamic convex hull.

Main Methods:

• Proposal of an asynchronous distributed control algorithm for linear MASs.
• Application of non-negative matrix theory and composition of binary relations to handle asynchronicity.
• Analysis of network topology to determine leader and follower roles.

Main Results:

• Demonstrated that leaders within strongly connected components reach a common state.
• Proved that followers converge to the dynamic convex hull formed by leaders.
• Established that the system matrix can be strictly unstable, with an explicit upper bound on its spectral radius.

Conclusions:

• The proposed asynchronous algorithm effectively achieves containment control in linear MASs with complex topologies.
• The theoretical framework accommodates system instability, providing robust control guarantees.
• Simulation examples validate the algorithm's efficacy in practical scenarios.