Cooperative gain output feedback stabilization for multi-agent dynamical systems

This paper is concerned with cooperative stabilization for LTI homogeneous multi-agent dynamical systems. We first formulate the cooperative stabilization problem by constant output feedback and show that it can be reduced to a stabilization problem with complex gain feedback. We then present several classes of systems in which the system is cooperatively stabilizable if and only if it can be stabilized alone. We also show a multi-agent system with even number of agents whose dynamics is represented by a 4th order transfer function, which can be stabilized by cooperation even if any single agent alone is not stabilizable.