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Spectral Properties and Positivity of Flows in Infinite Networks with Dynamic Boundary Control Nodes

机译:具有动态边界控制节点的无限网络中流的谱性质和正性

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摘要

In this paper we study transport processes on infinite networks with dynamic boundary control nodes. These flows can be modeled by operator semigroups on a suitable Banach space. Using functional analytical and graph theoretical methods, we investigate its spectral properties of the system and positivity of the semigroup under appropriate assumptions on the network.
机译:在本文中,我们研究具有动态边界控制节点的无限网络上的运输过程。这些流量可以由操作员半群在适当的Banach空间上建模。使用功能分析和图论方法,我们在适当的网络假设下研究了系统的光谱特性和半群的正性。

著录项

  • 来源
    《Journal of systems science & information》 |2009年第4期|319-325|共7页
  • 作者单位

    Dept. of Mathematics & Physics, Liaoning University of Technology, Jinzhou 121013, China;

    Dept. of Mathematics, Bohai University, Jinzhou 121013, China Beijing Institute of Information and Control, Beijing 100037, China;

    Dept. of Mathematics, Science College, Yanbian University, Yanji 133002, China;

    Dept. of Mathematics, Science College, Yanbian University, Yanji 133002, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Co-semigroup; spectrum; positivity;

    机译:半团体光谱;积极性;

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