This paper develops a decentralized leader-follower game for network design of a competitive supply chain problem in which a new chain as the leader enters a market with one existing supply chain as a follower. Both chains produce an identical product, customer demand is inelastic and customer utility function is based on Huff gravity-based model. The leader wants to shape his network and set a...

The multi-leader-follower game serves as an important model in game theory with many applications in economics, operations research and other fields. In this survey paper, we first recall some background materials in game theory and optimization. In particular, we present several extensions of Nash equilibrium problems including the multi-leader-follower game. We then give some applications as ...

In this paper, real-time implementation of multirobot convoying behavior utilizing neuro-fuzzy control is presented. With only nine rules, the follower convoys the leader closely and smoothly by varying its speed and changing its direction. When the leader stops, the follower stops very close to the specified safe distance (within an inch). The follower backs up quickly when the leader moves ba...

In this work, leader follower consensus objective has been addressed with the synthesis of an event based controller utilizing sliding mode robust control. The schema has been partitioned into two parts viz. finite time consensus problem and event triggered control mechanism. A nonlinear multi agent system with non identical dynamics has been put forward to illustrate the robust capabilities of...

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...

In this paper a new leader-follower formation of nonholonomic mobile robots is studied. The follower is a car-like vehicle and the leader is a tractor pulling a trailer. The leader moves along assigned trajectories and the follower is to maintain a desired distance and orientation to the trailer. A sliding mode control scheme is proposed for asymptotically stabilizing the vehicles to a time-var...

The multi-leader-follower game can be looked on as a generalization of the Nash equilibrium problem and the Stackelberg game, which contains several leaders and a number of followers. Recently, the multi-leader-follower game has been drawing more and more attention, for example, in electricity power markets. However, when we formulate a general multi-leader-follower game as a single-level game,...

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...

Using a traditional leader-follower decisional sequence as the manifestation of power structure in a supply chain, this work generalizes extant research in IT security. We propose a game theoretic model to analyze the equilibrium IT security of the supply chain in the Stackelberg game, where the power structure in the supply chain manifests in a natural leader. Our results indicate that a natur...

This paper presents a formated navigation based on the leader-follower approach. In this approach, the control law of the follower robot includes the states of the leader robot. This is a drawback for implementing the control laws on real mobile robots. To overcome this drawback, this paper proposes a new follower’s control law, called the self-made follower input, in which the state of the lea...