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In many areas of science and engineering there is a need for techniques to robustly extract velocity and its derivatives from a finite sample of observed positions. The extracted information can be used to infer related quantities such as curvature and speed, which are important for analysis of strategies and feedback laws associated with the motion. In(More)
The limited ability to simultaneously perform multiple tasks is one of the most salient features of human performance and a defining characteristic of controlled processing. Based on the assumption that multitasking constraints arise from shared representations between individual tasks, we describe a graph-theoretic approach to analyze these constraints.(More)
Some difficulties arise in segmentation of Bangla characters because of their unique structural properties, such as, having connectors adjoining two characters and vowel modifiers modifying either the top portion or the bottom portion of a character. This paper presents some ways to overcome these problems by taking into account these unique properties and(More)
Investigation of synchronization phenomena in networks of coupled nonlinear oscillators plays a pivotal role in understanding the behavior of biological and mechanical systems with oscillatory properties. We derive a general sufficient condition for synchronization of a network of nonlinear oscillators using a nonsmooth Lyapunov function, and we obtain(More)
Objective: Given a time series of noisy data, reconstruct/generate a path in the underlying space which traverses through the data points. Objective: Given a time series of noisy data, reconstruct/generate a path in the underlying space which traverses through the data points. Objective: Given a time series of noisy data, reconstruct/generate a path in the(More)
i Acknowledgement I would like to take this opportunity to thank my advisor Prof. Ravi N. Banavar for his invaluable guidance and support. The one and a half year long journey through the world of port Hamiltonian systems wouldn't have been possible without his guidance. The countlessly many discussions that I have had with him helped me to come in tune(More)
One of the most salient and well-recognized features of human goal-directed behavior is our limited ability to conduct multiple demanding tasks at once. Previous work has identified overlap between task processing pathways as a limiting factor for multitasking performance in neural architectures. This raises an important question: insofar as shared(More)