Sufficient metric conditions for synchronization of leader-connected homogeneous nonlinear multi-agent systems
Mattia Giaccagli, Vincent Andrieu, Daniele Astolfi, Giacomo Casadei
Abstract
We address the exponential synchronization problem of a leader-connected network of identical nonlinear systems. We suppose that each system can be made contractive by a static feedback law obtained via sufficient metric-based conditions. A distributed diffusive coupling feedback is then designed in order to solve the problem in two frameworks: the case of input-affine systems allowed to exchange all the state information to its neighbour; and the case of nonlinear systems linear in the input allowed to exchange only a possibly nonlinear output.
Topics & Concepts
Nonlinear systemSynchronization (alternating current)Metric (unit)Control theory (sociology)Affine transformationHomogeneousState (computer science)MathematicsComputer scienceTopology (electrical circuits)Control (management)AlgorithmPure mathematicsPhysicsEngineeringArtificial intelligenceCombinatoricsQuantum mechanicsOperations managementControl and Stability of Dynamical SystemsNonlinear Dynamics and Pattern FormationDistributed Control Multi-Agent Systems