This paper proposes a kind of bi-level linear programming problem, in which there are two decision makers in a hierarchy and they have a common variable. To deal with this bi-level problem, we introduce a virtual decision maker, who controls the common variable to maximize the sum of the objective functions of the upper and lower level decision maker (the leader and follower). To illustrate the...

A decentralized control law using a backstepping scheme is proposed to deal with a leader follower multiple robots structure. Based on graph theory and Laplacian, the coordination strategy combines the leader follower control with the decentralized control. In fact, in the proposed approach, each follower robot only needs the information exchange with its connected neighbors and does not assume...

Through the use of a virtual tractor-trailer link model, vehicle following capabilities have been implemented without the need of communications links between the two vehicles or the installation of special road infrastructure. The principle is based on the modeling of an off-hooked trailer system as a software link between the lead and led vehicles. The leader vehicle is modeled as the tractor...

For a duopoly environment, we model the leader and follower real value functions assuming that the leader’s “market share” evolves according to an immigration (birth) and death process. We derive analytical solutions for the follower and leader options to invest, and numerical solutions for the leader’s optimal investment timing. Then we calculate the partial derivatives of the leader and follo...

This paper introduces the notion of manipulability to mobile, multi-agent networks as a tool to analyze the instantaneous effectiveness of injecting control inputs at certain, so-called leader nodes in the network. Effectiveness is interpreted to characterize how the movements of the leader nodes translate into responses among the remaining follower nodes. This notion of effectiveness is a func...

In this paper, we discuss a particular class of Nash games, where the participants game (the players) are divided into two groups (leaders and followers) according to their position or influence on other players. Moreover, consider case, when leaders’ and/or followers’ can be described as potential game. This is subclass games that has been introduced by Monderer Shapley in 1996 beneficial prop...

Consider two identical discrete-time, finite-dimensional, linear and time-invariant systems denoted as leader and follower. The leader system is driven by a deterministic control input and by a zero-mean white Gaussian process noise. In this paper, we address the problem of designing a networked control scheme for the follower system that guarantees that the state of the follower system tracks ...

Spontaneous bursting activity in cultured neuronal networks is initiated by leader neurons, which constitute a small subset of first-to-fire neurons forming a sub-network that recruits follower neurons into the burst. While the existence and stability of leader neurons is well established, the influence of stimulation on the leader-follower dynamics is not sufficiently understood. By combining ...

This paper presents a motion control strategy for a rigid and constraint consistent formation that can be modeled by a directed graph whose each vertex represents individual agent kinematics and each of directed edges represents distance constraints maintained by an agent, called follower, to its neighbouring agents. A rigid and constraint consistent graph is called persistent graph. A persiste...