A prescribed-time multi-agent approach based on a dynamical event-triggered mechanism (DETM) is proposed to address multi-objective formation optimization problems. Prescribed-time formation optimization is the method that converges to the optimal solution within a predefined time theoretically. The considered multi-objective optimization task is redefined as a distributed manner, enabling it to be solved in a secure and private way. Moreover, the DETM significantly reduces communication frequency, while rigorously guaranteeing prescribed-time convergence to the Pareto optimal solution without Zeno behavior in theory. Numerical examples verify the rationality and effectiveness of the proposed algorithm.
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