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This paper addresses the stability issues of delayed nonlinear systems of the form x(t) = A(t, x(t), x(t − d(t)))x(t)+B(t, x(t), x(t − d(t)))x (t − d(t)), that is, the system matrices depend on time and the present and past states. By means of a trajectory-based comparison approach, the stability of original nonlinear system is transformed into that of a positive linear system called comparison system...
The proliferation of location-acquisition devices and thriving development of social websites enable analyzing users' movement behaviors and detecting social events in dynamic trajectory streams. In this paper, we firstly analyze the challenges in trajectory stream clustering, and then depict a three-part framework to deal with this issue, that includes i) trajectory data pre-processing for higher...
In modern cities, more and more people drive the vehicles, equipped with the GPS devices, which create a large scale of trajectories. Gathering and analyzing these large-scale trajectory data provide a new opportunity to understand the city dynamics and to reveal the hidden social and economic phenomena. This paper designs and implements a tool, named as PGWinFunc, to analyze trajectory data by extending...
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