Finite-Time Control Protocol for Uniform Allocation of Second-Order Agents

The paper addresses the problem of uniform finite-time robust allocations of second-order agents on a straight line. A decentralized homogeneous control protocol is proposed that uses only agent's states and local interactions (distances between two closest neighbors). Sufficient conditions of finite-time (input-to-state) stability are proposed in the form of Linear Matrix Inequalities. The theoretical results are illustrated via numerical simulations.