Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (4): 1111-1123.

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Containment Control for Partial Differential Multi-Agent Systems via Iterative Learning Algorithm

Dan Zhang,Qin Fu*(),Zhenjie Chen   

  1. School of Mathematical Sciences, Suzhou University of Science and Technology, Jiangsu Suzhou 215009
  • Received:2020-08-27 Online:2021-08-26 Published:2021-08-09
  • Contact: Qin Fu
  • Supported by:
    the NSFC(11971343)


In this paper, we deals with the containment control problem for a class of partial differential multi-agent systems, which are composed of the second-order parabolic equations or the second-order hyperbolic equations. Based on the framework of network topologies, the P-type iterative learning law is designed depending on the output form of the follower system, and the convergence condition of the system in the sense of iterative learning stability is obtained. By using the contraction mapping method, it is proved that the containment errors of two kinds of systems on the finite time interval converge to zero on $L^2$ space with the increasing of iterations. Finally, simulation examples demonstrate the validity of the theoretical analysis.

Key words: Iterative learning algorithm, Partial differential equation, Multi-agent systems, Containment control

CLC Number: 

  • TP13