Effects of Edge Elimination on the Delay Margin of a Class of LTI Consensus Dynamics

Min Hyong Koh, Rifat Sipahi · IEEE Transactions on Automatic Control · 2018

On a widely studied linear time-invariant (LTI) multiagent consensus dynamics with delays, we study how large the delay can be permitted to be before the dynamics becomes unstable. We present an analytical approach to show how this delay bound, namely, the delay margin, is affected with different underlying graphs obtained by edge elimination.

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