Graph-theoretic characterisations of zeros for the input-output dynamics of complex network processes

Jackeline Abad Torres; Sandip Roy

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Graph-theoretic characterisations of zeros for the input-output dynamics of complex network processes

机译：复杂网络过程的输入-输出动态的零的图论特征

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摘要

We examine linear network dynamics in which an input can be applied at only one network component and measurements can only be made at one (in general different) component. The infinite-zero and finite-zero structures of these dynamics are characterised explicitly in terms of the network's graph matrix, using the special coordinate basis for linear system. These algebraic characterisations are then used to identify relationships between features of the network's graph topology and the state matrix of its finite zero dynamics.

机译：我们研究了线性网络动力学，其中输入只能应用于一个网络组件，并且只能对一个（通常是不同的）组件进行测量。使用线性系统的特殊坐标基础，可以根据网络的图矩阵明确地描述这些动力学的无限零和无限零结构。这些代数特征然后被用于识别网络的图拓扑的特征与其有限的零动力学的状态矩阵之间的关系。

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来源
《International Journal of Control》 |2014年第6期|共11页
作者
Jackeline Abad Torres; Sandip Roy;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动控制、自动控制系统;
关键词
synchronisation/diffusion processes; sparse control of networks; special coordinate basis; graph-theory;

机译：同步/扩散过程;网络稀疏控制;特殊坐标基础;图论;

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专利

1. Graph-theoretic characterisations of zeros for the input-output dynamics of complex network processes [J] . Jackeline Abad Torres, Sandip Roy International Journal of Control . 2014,第4a6期

机译：复杂网络过程的输入-输出动态的零的图论特征
2. Estimating modes of a complex dynamical network from impulse response data: Structural and graph-theoretic characterizations [J] . Wan Yan, Roy Sandip, Xue Mengran, International Journal of Robust and Nonlinear Control . 2015,第10期

机译：从冲激响应数据估计复杂动力网络的模式：结构和图论表征
3. Assortative and disassortative networks. the effect of the topology of a complex network on the properties of dynamical processes on it [J] . Ginzburg S.L., Nakin A.V., Savitskaya N.E. Journal of Experimental and Theoretical Physics . 2010,第3期

机译：分类和分类网络。复杂网络拓扑对动态过程特性的影响
4. A two-layer transformation for characterizing the zeros of a network input-output dynamics [C] . Jackeline Abad Torres, Sandip Roy IEEE Conference on Decision and Control . 2015

机译：两层变换，用于表征网络输入输出动力学的零点
5. Controlling complex network dynamics using sparse measurements and actuation: Graph-theoretic perspective. [D] . Abad Torres, Jackeline. 2014

机译：使用稀疏测量和驱动来控制复杂的网络动力学：图论的角度。
6. The diminishing role of hubs in dynamical processes on complex networks [O] . Rick Quax, Andrea Apolloni, Peter M. A. Sloot 2013

机译：集线器在复杂网络动态过程中的作用逐渐减弱
7. Unraveling complex networks under the prism of dynamical processes: relations between structure and dynamics [O] . Schaub Michael Thomas 2014

机译：在动态过程的棱镜下解开复杂的网络：结构与动态之间的关系

Graph-theoretic characterisations of zeros for the input-output dynamics of complex network processes

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