Algebraic criteria for second-order global consensus in multi-agent networks with intrinsic nonlinear dynamics and directed topologies
The considered second-order is a general model in practical applications. Two algebraic indexes are introduced to measure the consensusability of multi-agent networks. Some novel criteria are derived theoretically. The obtained results can explain the reasons why first-order consensus could not extends to second-order. Numerical examples are also provided.
algebraic criteria multi-agent network nonlinear dynamics directed topology second-order consensus