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We present a distributed nonlinear control law for synchronization of identical agents on one-parameter Lie subgroups. If the agents are initialized sufficiently close to one another, then synchronization is achieved exponentially fast. The proof does not use Jacobian linearization, instead the local nature of our result stems from our use of exponential coordinates on a matrix Lie group.
We locally solve a synchronized path-following problem for a heterogeneous multiagent system consisting of a differential drive robot and a serial manipulator. Each is assigned a simple, regular, and closed curve in its output space. The outputs of the systems must approach and traverse their assigned curves while synchronizing their motions along the paths. We use the notion of path-following outputs...
We investigate the coordinated path following problem for unicycles. We define the problem in general but focus on the case of two agent systems with circular paths.
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