On the stabilizability and consensus of positive homogeneous multi-agent dynamical systems
In this note we consider a supervisory control scheme that achieves either asymptotic stability or consensus for a group of homogenous agents described by a positive state-space model. Each agent is modeled by means of the same SISO positive state-space model, and the supervisory controller, representing the information exchange among the agents, is implemented via a static output feedback. Necessary and sufficient conditions for the asymptotic stability, or the consensus of all agents, are derived under the positivity constraint. © 1963-2012 IEEE.
& Misra, P.
(2014). On the stabilizability and consensus of positive homogeneous multi-agent dynamical systems. IEEE Transactions on Automatic Control, 59 (7), 1936-1941.