A novel approach for the study of the long-term behavior of solutions of continuous time consensus networks is developed. We establish sufficient conditions for convergence to a common equilibrium, under the mildest possible connectivity conditions, with emphasis on explicit estimates on the rate of convergence. The discussion ranges from linear to non-linear, decentralized to leader-follower a...

In this work we analize the controllability and observability properties of several interconnection configurations such as the chain topology and ring topology as well as combinations of these two topologies. A leader/follower control strategy is proposed to control the center of mass of the multiple agent system. It is shown that the trajectory tracking for a multiagent system converges to the...

We solve the formation-tracking control problem for mobile robots via linear control, under the assumption that each agent communicates only with one “leader” robot and with one follower. We assume that the system is forcecontrolled (hence we use the dynamic model) as opposed to velocity-controlled (in the kinematic-model case). As in the classical tracking control problem for nonholonomic syst...

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance of the system is quantified by the total steadystate variance of the node states, and the goal is to identify the set of leaders that minimizes this variance. We first show that this performance measure can be expres...

This paper focuses on the design of a formation controller for multi-robot dynamic systems using adaptive fuzzy sliding-mode techniques. From the Lagrangian analysis, the dynamic model of a differential wheeled robot can be obtained. A fuzzy sliding-mode controller is derived for leader-follower formation control based on graph theory and consensus algorithm. Moreover, an adaptive law is provid...

The findings from this cross-sectional study on 27 corporate employees reveal relationships between leader and follower leadership behaviors and follower identity with the leader. A positive relationship was found between the leaders’ follower-centered leadership and followers’ follower-centered leadership, and the leaders’ capable manager leadership and followers’ capable manager leadership. F...

We examine the characteristics of effective leaders in a simple leader-follower voluntary contributions game. We focus on two factors: the individual’s cooperativeness and the individual’s beliefs about the cooperativeness of others. We find that groups perform best when led by those who are cooperatively inclined. Partly, this reflects a false consensus effect: cooperative leaders are more opt...

This paper considers the gain-scheduled leader-follower tracking control problem for a parameter varying complex interconnected system with directed communication topology and uncertain normbounded coupling between the agents. A gain-scheduled consensus-type control protocol is proposed and a sufficient condition is obtained which guarantees a suboptimal bound on the system tracking performance...

In this paper, we adopt D-type and PD-type learning laws with the initial state of iteration to achieve uniform tracking problem multi-agent systems subjected impulsive input. For system impulse, show that all agents are driven a given asymptotical consensus as number increases via proposed if virtual leader has path any follower agent. Finally, an example is illustrated verify effectiveness by...