In order to further improve the convergence speed of the exponential variable step-size constant module algorithm, a variable step-size constant module algorithm based on the exponential multi-delay error signal autocorrelation was proposed on the basis of the analysis of the error signal autocorrelation, and the multi-delay error signal autocorrelation functions were adopted to control the steps. Compared with the non-delay and unit delay, the multi-delay error signal autocorrelation of the algorithm can provide simpler and more accurate information for training trajectory, so the algorithm converges faster, and the convergence process is smoother and more stable. The underwater acoustic channel simulation experiments further verify the advantage of the algorithm in the convergence speed.

Agent organization can be used for multi-agent problem solving so as to potentially decrease the difficulty of problem solving and complexity of interaction, and the organization structure, organization formation rule and object planning are the key problems among multi-agent cooperation. In this paper, a multi-agent organization model and a set of rules based on the model were presented and the method about multi-agent object planning and the coherence and perfection of the planning were described. Based on the above study, the formation procedure and the release procedure of multi-agent organization were presented, and all the procedures were formally described by extended temporal logic and pi-calculus. All these improved the study of multi-agent theory and programming practice which was not closely combined.