Anticipation as the Source of Synchronization in Discrete Agents

Present paper address the synchronization classification of discrete agents by the means of z-transform. The developed agent based anticipative model enables us to change the future as well as the past chain of events. Emergent synchronization patterns determined by the application of z-transform provide the base for determination of stability regions in systems of higher complexities. One of the important results provided is that the proposed agent-based system is apparently controllable by considering the frequency response of the system. The proof of the stability for the arbitrary set of proposed anticipatory agents is proposed.