A bilinear system approach with input saturation to control the agreement value of multi-agent systems

While reaching an agreement in multi-agent sys-tems (MAS) can be ensured by enforcing some connectivity properties between agents, the consensus depends on their initial conditions and the network topology. In this context, our main objective in this paper is to sway the consensus value of multi-agent systems towards a desired value. The asymptotic stability and maximization of the domain of attraction for the bilinear model representing the opinion dynamics in the presence of limited control action for a fixed and connected network are investigated. By using algebraic graph theory and linear matrix inequality (LMI), we provide sufficient conditions guaranteeing the convergence of agents toward the desired consensus. Furthermore, examples illustrate the effectiveness of the proposed method.