Fixed-Time Distributed Output Optimization for Linear Multi-Agent Systems

The article is devoted to fixed-time (FXT) output optimization for multi-agent systems (MASs) by proposing distributed piecewise protocols. Firstly, the FXT tracking of the agent states is ensured by introducing an auxiliary variable for each agent. Then, under the out information of agents and the strong convexity of cost functions, a distributed piecewise algorithm is developed, which indicates that the FXT distributed output optimization is solved by first realizing local optimization for each agent and then achieving global output optimization. In addition, a more relaxed condition for FXT distributed optimization is derived and a more precise estimate for the optimization time is obtained. Finally, the proposed optimization algorithm is further illustrated via numerical results.