Consensus Analysis for High-order Heterogeneous Networks with Communication Delays and Dynamically Changing Digraphs

Regular Paper Control Theory and Applications
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Abstract

This paper studies consensus problems of high-order heterogeneous continuous-time networks with bounded communication delays and dynamically changing digraphs. The heterogeneous continuous-time networks consist of different order agents from first-order to lth-order agents, where different order networks correspond to different linear consensus protocols. In order to use the properties of Metzler matrix with zero row sums, we make model transformations of system matrix. Giving some restrictive conditions, we obtain the sufficient condition for consensus problems of heterogeneous networks with varying bounded communication delays. Although each communication graph may have no spanning trees, all agents of high-order heterogeneous networks can reach stationary consensus with varying bounded communication delays and dynamically changing digraphs. Finally, we give an example to validate the correctness of our obtained results.

Keywords

Communication delays consensus dynamically changing digraphs heterogeneous multi-agent systems 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Astronautics and AeronauticUniversity of Electronic Science and Technology of ChinaChengduChina
  2. 2.School of ScienceBeijing Technology and Business UniversityBeijingChina

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