In this article, we consider the linear-quadratic time-inconsistent mean-field type leader-follower Stackelberg differential game with an adapted open-loop information structure. The objective functionals of leader and follower include conditional expectations state control (mean field) variables, cost parameters could be general nonexponential discounting depending on initial time. As stated i...

The problem of coordinated control of a leader-follower system is solved using a virtual vehicle approach to alleviate information requirements on the leader. The virtual vehicle stabilizes to a shifted reference position/heading defined by the leader, and provides a reference velocity for the synchronization control law of the follower. Only position/heading measurements are available from the...

The article presents a Fuzzy-Sugeno type microscopic follower model from the building of the model through a brief description to the evaluation of it. Four other models mentioned in the literature are used for the investigation of the model giving a basis of comparison for the evaluation of the model in question. The model implements a partition of two of the three typical parameters (follower...

We propose a distributed force and torque controller for a group of robots to collectively transport objects with both translation and rotation control. No explicit communication among robots is required. This work goes beyond previous works by including rotation control and experimental demonstrations on a custom built robot platform. We prove that follower robots can synchronize both their fo...

We perform high-order sensitivity analysis of eigenvalues of linear systems depending on parameters. Attention is focused on double not-semi-simimple and semi-simple eigenvalues, undergoing perturbations, either of regular or singular type. The use of integer (Taylor) or fractional (Puiseux) series expansions is discussed, and the analysis carried out on the characteristic polynomial. It is sho...

Recent applications of game theory in security domains use algorithms to solve a Stackelberg model, in which one player (the leader) first commits to a mixed strategy and then the other player (the follower) observes that strategy and bestresponds to it. However, in real-world applications, it is hard to determine whether the follower is actually able to observe the leader’s mixed strategy befo...

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...

religion has always had a significant role in indian thoughts and unlike the west, the separation of religion and science has never happened in india. even today, the role of religion is evident in diverse aspects of indian life, and religious links and tendencies are represented in the works of contemporary thinkers. but among all contemporary scholars vivekananda has been a pioneer in this re...

this paper aims to investigate a new and intricate behavior of immediate follower during the lane change of leader vehicle. accordingly, the mentioned situation is a transient state in car following behavior during which the follower vehicle considerably deviates from conventional car following models for a limited time, which is a complex state including lateral and longitudinal movement simul...

This paper is concerned with rigid formations of mobile autonomous agents using a leader-follower structure. A formation is a group of agents moving in real 2or 3dimensional space. A formation is called rigid if the distance between each pair of agents does not change over time under ideal conditions. Sensing/communication links between agents are used to maintain a rigid formation. Two agents ...