6533b83afe1ef96bd12a71a2

RESEARCH PRODUCT

Consensus for networks with unknown but bounded disturbances

Raffaele PesentiDario BausoLaura Giarre

subject

Networks; UBB; Consensus; Dynamic AgentsMathematical optimizationConsensusControl and OptimizationApplied MathematicsDynamic Agentsnetworks; unknown but bounded; consensus; dynamic agentsUBBRadiusdynamic agentsMeasure (mathematics)Set (abstract data type)unknown but boundedSettore ING-INF/04 - AutomaticaconsensusnetworksBounded functionNetworks UBB Consensus Dynamic AgentsApplied mathematicsNetworksFinite timeMathematics

description

We consider stationary consensus protocols for networks of dynamic agents. The measure of the neighbors' states is affected by unknown but bounded disturbances. Here the main contribution is the formulation and solution of what we call the $\epsilon$-consensus problem, where the states are required to converge in a target set of radius $\epsilon$ asymptotically or in finite time. We introduce as a solution a dead-zone policy that we denote as the lazy rule.

10.1137/060678786http://hdl.handle.net/10447/39018