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A Connective Stability Analysis of Complex System Simulation and Control via Multiagent Systems

Multiagent systems are demonstrated to be an interesting tool to simulate and control complex systems. In fact complex systems can be described by using a collection of models and combining them via multiobjective optimization by agent negotiation. The application of multiagent systems in fields such as, for example, multiple aircraft flight control and robot formation control, requires the agent negotiation paradigm to be robustly stable. We propose the adoption of the concept of connective stability for the analysis of the multiagent negotiation in order to make this robustly stable with respect to the connection and disconnection of the agents. We also introduce a theoretical analysis of the agent negotiation deriving and analytically proving, by using Lyapunov criterion, constraints that assure the connective stability.