Predefined-Time Constrained Optimization of MultiAgent Systems Under Impulsive Effects

Abstract

Dear Editor, This letter investigates predefined-time optimization problems (OPs) of multiagent systems (MASs), where the agent of MASs is subject to inequality constraints, and the team objective function accounts for impulse effects. Firstly, to address the inequality constraints, the penalty method is introduced. Then, a novel optimization strategy is developed, which only requires that the team objective function be strongly convex. This strategy guarantees the MAS converges to the optimal solution within a predefined time (PDT). Finally, a numerical simulation is presented to validate the effectiveness of the theoretical results.