Sentence examples for condition for consensus from inspiring English sources

By utilizing the multiple Lyapunov functions method and algebraic graph theory, a sufficient condition for consensus tracking is established.

Then, sufficient conditions for consensus and consensualization are presented, which include only four linear matrix inequality constraints.

Sufficient conditions for consensus are presented and the consensus protocol accounting for actuator saturation is developed.

This framework has the advantage of providing scalable, simple, and accurate set-valued conditions for consensus.

Based on this decomposition, necessary and sufficient conditions for consensus and consensualizability are presented respectively.

Our focus is on consensus protocol design and stability analysis which also leads to the derivation of sufficient conditions for consensus tracking.

Firstly, by projecting the state of a singular swarm system onto a consensus subspace and a complement consensus subspace, a necessary and sufficient condition for admissible consensus is presented in terms of linear matrix inequalities (LMIs).

Secondly, by the state decomposition, a necessary and sufficient condition for leader follower consensus is proposed, which only transforms leader follower consensus problems into asymptotic stability ones but cannot be directly used to determine whether or not swarm systems can achieve leader follower consensus.

Firstly, by the state space decomposition, a necessary and sufficient condition for admissible consensus is given and an approach is presented to determine consensus functions on the basis of different impacts of initial states of agents and external disturbances, which describe the absolute motions of singular swarm systems as a whole.

A necessary and sufficient condition for reaching consensus of the system in this setting is established, based on which consensus regions are then characterized.

A sufficient condition for the consensus of multi-agent systems is derived.