This paper proposes a new finite-time consensus tracking protocol for reaching the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, and homogeneity with dilation are employed to obtain the convergence criteria. Numerical simulations show that compared with the traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the c...

In this paper, we apply a consensus model to decision-making in committees that have to choose one or more alternatives from a set of alternatives. The model does not use a voting rule nor a set of winning coalitions. Every decision maker evaluates each alternative with respect to given criteria. The criteria may be of unequal importance to a decision maker. Decision makers may be advised by a ...

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A novel way of characterizing the process of reaching consensus for a social system is given. The foundation of the characterization is based on the theorem which states that the sufficient and necessary condition for a system to reach the state of consensus is the occurrence of communicators, defined as the units of the system that can directly communicate with all the others simultaneously. A...