What question did this study set out to answer?

Establish new mathematical conditions for convergence to consensus in time-dependent, discrete-time multiagent dynamical systems.

March 24, 2010IEEE Transactions on Automatic ControlOpen Access

On Conditions for Convergence to Consensus

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Authors

JLJan LorenzHochschule Bremen DLDirk A. LorenzUniversity of Bremen

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Implication

Theoretical analysis establishes new consensus convergence conditions for discrete-time multiagent systems via averaging maps, highlighting scenarios where standard Lyapunov theory fails.

Key Points

Establish new mathematical conditions for convergence to consensus in time-dependent, discrete-time multiagent dynamical systems.
Formulated a convergence theorem based on the mathematical properties of averaging maps.
Compared the proposed theoretical framework with Moreau's set-valued Lyapunov theory under switching communication topologies using analytical examples.
Introduced an averaging-map theorem that guarantees consensus in dynamical system configurations where Moreau's Lyapunov approach is inapplicable.
Identified multiagent scenarios demonstrating that existing theoretical conditions for consensus convergence under switching topologies remain incomplete.

Cite This Study

Lorenz et al. (2010) studied this question.

synapsesocial.com/papers/6a1702bb0f965e9c137bdcf0 https://doi.org/10.1109/tac.2010.2046086

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Implication

Theoretical analysis establishes new consensus convergence conditions for discrete-time multiagent systems via averaging maps, highlighting scenarios where standard Lyapunov theory fails.

On Conditions for Convergence to Consensus

Discussion

Member takes

Implication

Key Points

Cite This Study

On Conditions for Convergence to Consensus

Discussion

Member takes

Implication

Key Points

Cite This Study

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