Structural, dynamical and symbolic observability: From dynamical systems to networks.

Structural, dynamical and symbolic observability: From dynamical systems to networks.
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DOI:
10.1371/journal.pone.0206180
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发表时间:
2018
期刊:
影响因子:
3.7
通讯作者:
Letellier C
Letellier C
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Aguirre LA;Portes LL;Letellier C

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可观测性的经典定义将系统分为可观测的和不可观测的。可观测性是研究复杂网络的一个重要特征,而对于动力系统而言,研究的重点是确定网络可观测的条件。大约二十年前,非线性动力系统的连续可观测性度量开始被使用。在本文中,建立动力系统的可观测性的各个方面将在网络的背景下进行调查。特别是它将讨论简单的网络可以在可观测性方面使用连续的措施,这样一个属性的方式进行排名。还指出,网络拓扑结构的分析通常是不够的可观测性的目的,因为这样的节点的动态和耦合起着至关重要的作用。一些主要的想法是通过数值模拟来说明。
Classical definitions of observability classify a system as either being observable or not. Observability has been recognized as an important feature to study complex networks, and as for dynamical systems the focus has been on determining conditions for a network to be observable. About twenty years ago continuous measures of observability for nonlinear dynamical systems started to be used. In this paper various aspects of observability that are established for dynamical systems will be investigated in the context of networks. In particular it will be discussed in which ways simple networks can be ranked in terms of observability using continuous measures of such a property. Also it is pointed out that the analysis of the network topology is typically not sufficient for observability purposes, since both the dynamics and the coupling of such nodes play a vital role. Some of the main ideas are illustrated by means of numerical simulations.
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