A passivity-based perspective for distributed optimization and integration of communication delays

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In this paper, we present a perspective that a solution process for a class of distributed optimization is passive. After formulating the intended distributed optimization problem, we design a distributed optimization dynamics based on so-called PI consensus algorithm. The dynamical system is then shown to be regarded as a feedback interconnection of passive systems and hence to preserve passivity. As a benefit of the passivity-based perspective, we then integrate interagent communication delays using passivity-based output synchronization techniques together with so-called scattering transformation.

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