Simultaneous stabilization and synchronization for multiple systems of non-identical agents

We address a simultaneous stabilization and synchronization problem for one class of non-identical multi-agent systems. The agent dynamics can be different and the orders of agents are not necessarily equal. One single control loop is designed for each agent to enable some agent states, named as internal states, to be stabilized and some other states, named as external states, to be synchronized. A distributed control law is designed based on local measurements and information exchanged from neighboring agents to achieve simultaneous stabilization and synchronization. The necessary and sufficient conditions to achieve simultaneous stabilization and synchronization have been obtained using the closed-loop form of the system, followed by specific approaches of designing the control gain matrices that make the sufficient conditions satisfied. A precise form of the synchronized trajectory has also been determined. Simulation results have been provided to demonstrate the performance of the proposed method.