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Control Optim."],"published-print":{"date-parts":[[2024,2,29]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>This paper studies a leader-following rendezvous problem for the generalized Cucker\u2013Smale model, a double-integrator multiagent system, on some Riemannian manifolds. By using intrinsic properties of the covariant derivative, logarithmic map, and parallel transport on the Riemannian manifolds, we design a feedback control law and prove that this feedback control law enables all followers to track the trajectory of the moving leader when the Riemannian manifold is compact or flat. As concrete examples, we consider the leader-following rendezvous problem on the unit sphere, in Euclidean space, on the unit circle, and infinite cylinder and present the corresponding feedback control laws. 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