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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)
Nonlinear contraction theory allows surprisingly simple analysis of synchronisation phenomena in distributed networks of coupled nonlinear elements. The key idea is the construction of a virtual contracting system whose particular solutions include the individual subsystems' states. We also study the role, in both nature and system design, of co-existing "(More)
This thesis focuses on the study of collective dynamic behaviors, especially the spontaneous synchronization behavior, of nonlinear networked systems. We derives a body of new results, based on contraction and partial contraction analysis. Contraction is a property regarding the convergence between two arbitrary system trajectories. A non-linear dynamic(More)
This paper presents a novel 3D facial expression recognition algorithm using Local Binary Patterns (LBP) under expression variations, which has been extensively adopted for facial analysis. First, to preserve the main information and remove noises which will affect the discrimination, BDPCA reconstruction and Shape Index is utilized to depict the human face(More)
The goal of this project is to create a muscle-based facial model which can be used to generate realistic facial animation. Maya software was used to set up the facial muscles, and attach them to the facial geometry so that changing the muscle parameter values will deform the shape of the facial model. To create smooth animation, one can change the(More)
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