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We describe a simple yet general method to analyze networks of coupled identical nonlinear oscillators and study applications to fast synchronization, locomotion, and schooling. Specifically, we use nonlinear contraction theory to derive exact and global (rather than linearized) results on synchronization, antisynchronization, and oscillator death. The(More)
We study synchronization conditions for distributed dynamic networks with different types of leaders. The role of a " power " leader specifying a desired global state trajectory through local interactions has long been recognized and modeled. This paper introduces the complementary notion of a " knowledge " leader holding information on the target dynamics,(More)
— We study stability of interacting nonlinear systems with time-delayed communications, using contraction theory and a simplified wave variable design inspired by robotic teleoperation. We show that contraction is preserved through specific time-delayed feedback communications, and that this property is independent of the values of the delays. The approach(More)
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