This paper studies the consensus control of nonlinear impulsive distributed parameter multi-agent sys-tems (IDPMASs), whose dynamic behavior depends on time and space. First, to achieve the complete consensus for nonlinear parabolic IDPMAS, a distributed P-type iterative learning consensus control pro-tocol is proposed that includes network topologies information and nearest neighbor knowledge. Using impulsive Gronwall inequality and mild solution formula based on operator semigroup, the rigorous con-vergence analysis of consensus errors is provided, and convergence conditions are established as well. Furthermore, the consensus control of nonlinear second-order hyperbolic IDPMAS is investigated that employ an open-closed-loop P-type consensus control protocol, which uses both currents iterative con -sensus error and last iterative consensus error. The theoretical result of this paper shows the consensus errors between any 2 agents can converge to 0 with the increase in iterations under given conditions. Finally, two numerical simulations are given to demonstrate the effectiveness of the proposed methods.(c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved
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