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Distributed algorithms for aggregative games with multiple uncertain Euler–Lagrange systems over switching networks
Journal of Automation and Intelligence 2025, 4(1): 2-9
Published: 30 December 2024
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In this paper, we investigate the distributed Nash equilibrium (NE) seeking problem for aggregative games with multiple uncertain Euler–Lagrange (EL) systems over jointly connected and weight-balanced switching networks. The designed distributed controller consists of two parts: a dynamic average consensus part that asymptotically reproduces the unknown NE, and an adaptive reference-tracking module responsible for steering EL systems’ positions to track a desired trajectory. The generalized Barbalat’s Lemma is used to overcome the discontinuity of the closed-loop system caused by the switching networks. The proposed algorithm is illustrated by a sensor network deployment problem.

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