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The paper investigats the consensus for multiagent systems with delays via the use of Nyquist criterion and frequency-domain analysis. Overall, this is an interesting work with nice organization. Technical proof is sound as well.

There are some comments for the authors to consider.

-As is well known in MAS community, multi-agent consensus problem with delay (various delays including input delay, coupling delay,
random communication delay, etc) involved has been systematically investigated in different settings. The followings are some works
which have been missed by the authors but need to be commented/compared with their work as they relate closely to the
investigated topic.

Note that Ref. [1] also considers different delays for agents with
single-integrator dynamics in continuous-time setting; and Refs. [5]
& [4] consider respectively the communication delay (non-uniform and
time-varying delays) for single-integrator and double-integrator
agents in sampled-data setting. Ref. [2] considers the input delay
for single-integrator agents in continuous setting with switching
communication topologies and Ref. [4] considers the
double-integrator case.

[1] Delay Robustness in Consensus Problems. Automatica, 46(8): 1252-1265, 2010.

[2] On average consensus in directed networks of agents with switching topology and time delay. International  Journal of Systems
Science 42(12): 1947-1956, 2011

[3] Second-order consensus for multi-agent systems with switching topology and communication delay. Systems & Control Letters 60(6):
390-397, 2011

[4] A sufficient condition for convergence of sampled-data consensus for double-integrator dynamics with nonuniform and time-varying
communication delays, IEEE Transactions on Automatic Control, DOI: 10.1109/TAC.2012.2188425, 2012

[5] State consensus for multi-agent systems with switching topologies and time-varying delays. International Journal of
Control, 79(10): 1277-1284, 2006

Other comments:
- What does it mean by connected as mentioned in the bottom 3 lines
on page 3 (see, "... the minimum requirement of digraph G is said to
be connected is ...."?
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