Stable Desynchronization for Wireless Sensor Networks: (III) Stability Analysis
نویسندگان
چکیده
In this paper, we use dynamical systems to analyze stability of desynchronization algorithms at equilibrium. We start by illustrating the equilibrium of a dynamic systems and formalizing force components and time phases. Then, we use Linear Approximation to obtain Jaconian (J) matrixes which are used to find the eigenvalues. Next, we employ the Hirst and Macey theorem [1] and Gershgorins theorem [2] to find the bounds of those eigenvalues. Finally, if the number of nodes (n) is within such bounds, the systems are stable at equilibrium. (This paper is the last part of the series Stable Desynchronization for Wireless Sensor Networks (I) Concepts and Algorithms (II) Performance Evaluation (III) Stability Analysis)
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عنوان ژورنال:
- CoRR
دوره abs/1704.07010 شماره
صفحات -
تاریخ انتشار 2017