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This paper presents a novel way of manipulating the initial conditions in the consensus equation such that a constrained agreement problem is solved across a distributed network of agents, particularly for a network represented by a tree graph. The presented method is applied to the problem of coordinating multiple pendula attached to mobile bases. The pendula should move in such a way that their motion is synchronized, which calls for a constrained optimal control problem for each pendulum asdoi:10.1080/00207179.2012.656288 fatcat:wow6rdgwwvbmxpbfehtahndjom