Predefined-Time Distributed Optimization Problem Subject to Equality Constraint of Second-Order Multi-Agent Systems

In this paper, we consider the predefined-time distributed optimization problem of second-order multi-agent systems under undirected and connected communication networks, in which, the optimization problem subject to the equality constraint. In order to make all agents converge to the optimal solution at predefined-time, we propose a distributed predefined-time control law based on time-base generator technique. Then we guarantee the convergence of the proposed algorithm by the properties of Laplace matrix and orthogonal matrix. Finally, we provide example to illustrate the effectiveness of the proposed distributed algorithm by choosing arbitrary initial values of states and arbitrary convergence time.