ACHIEVING CONSENSUS IN SELF-ORGANIZED FRACTAL MULTI-AGENT SYSTEMS USING FRACTIONAL CALCULUS

In this paper it is presented a personal opinion on two aspects of multi-agent systems (MAS) behaviour: 1. to what extent does a fractal structure of MAS favor the emergence of a solution of self-organization by adapting to the context; 2. to what extent the solution of the consensus problem through a fractional calculation procedure is favored by the fractal organization of the MAS architecture. The implications of these approaches are discussed for a consensus decision-making application in a fractal MAS structure. A fractional-order model of MAS that represents agents as nodes of a network whose topological structure admit a unique leader agent was proposed. Experimental results obtained by simulation show that consensus can be obtained with respect to time delays due to agents' different dynamics.