A fixed-time convergent algorithm for distributed convex optimization in multi-agent systems

作者：Chen, Gang^*; Li, Zhiyong

来源：Automatica, 2018, 95: 539-543.

DOI：10.1016/j.automatica.2018.05.032

• Distributed algorithm
• Convex optimization
• Equality constraint
• Fixed-time convergence
• Multi-agent system

This technical paper presents a distributed continuous-time algorithm to solve multi-agent optimization problem with the team objective being the sum of all local convex objective functions while subject to an equality constraint. The optimal solutions are achieved within fixed time which is independent of the initial conditions of agents. This advantage makes it possible to off-line preassign the settling time according to task requirements. The fixed-time convergence for the proposed algorithm is rigorously proved with the aid of convex optimization and fixed-time Lyapunov theory. Finally, the algorithm is valuated via an example.

• 出版日期2018-9
• 单位重庆大学