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...

We propose predefined-time consensus-based cooperative guidance laws for a swarm of interceptors to simultaneously capture target capable executing various kinds motions. Unlike leader-follower techniques, the has no leader and each interceptor executes its own command in distributive fashion, thus obviating residency mission over single interceptor. first design commands subject target's mobil...

This paper presents a classic missile-type parallel-approach guidance law for fixed-wing UAVs in coordinated formation flight. The key idea of the proposed is to drive each follower follow virtual target point. Considering turning ability follower, form adopts semi-perfect rigid form, which does not require vehicle positions formation, and orientations keep consensus. According mission characte...

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...

Abstract: This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of neighboring agents. A two-step algorithm is presented to construct a protocol, under which a Lipschitz multi-agent system without disturbances can reach gl...

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 ...