Increasing heterogeneous time delays in signed consensus networks on a ring topology can destabilize the consensus state and produce transitions to bounded non-convergent or unstable dynamics.
Niculescu,Delay Effects on Stability: A Robust Control Approach, Springer, 2001
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Delay-Induced Stability Transitions in Directed Signed Consensus Networks
Increasing heterogeneous time delays in signed consensus networks on a ring topology can destabilize the consensus state and produce transitions to bounded non-convergent or unstable dynamics.