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Distributed Optimization for Multi-agent Systems with Unknown High-frequency-gain Signs

In this paper, we consider a distributed optimization problem for a group of single-integrator agents without a prior knowledge of their high-frequency-gain signs. By an embedded design, we first propose an optimal signal generator to generate the global optimal point, and then solve the distributed optimization problem by designing some tracking controllers for these agents. A numerical example is given to verify the effectiveness of our algorithms.