<p>This paper investigates the tracking control problem for discrete-time complex dynamic network (DCDN) via the link dynamics. From the perspective of large system theory, DCDN is considered as a coupling system of node dynamic subsystem (NDS) and link dynamic subsystem (LDS). Different from the existing researches, the connection edge between nodes is regarded as LDS, in which the weighted-values of links are deemed as the state variables of LDS. By introducing the outgoing links vector, the dynamics model of LDS is described through the difference vector equation instead of matrix difference equation, which provides the more intuitive geometric features and convenient mathematical method due to the flexible mathematical operational properties of vector. Moreover, under the state of LDS is completely unavailable, the tracking control scheme consisted of controller of NDS and coupling term of LDS is synthesized only by the available node state variables to guarantee realizing the tracking task. Finally, a simulation example is provided to verify the effectiveness of the proposed tracking control scheme.</p>

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Tracking control for discrete-time complex dynamic network via link dynamics

  • Bobo Li,
  • Pinrui Li,
  • Qingfeng Chen,
  • Lingshu Zhong,
  • Yinhe Wang

摘要

This paper investigates the tracking control problem for discrete-time complex dynamic network (DCDN) via the link dynamics. From the perspective of large system theory, DCDN is considered as a coupling system of node dynamic subsystem (NDS) and link dynamic subsystem (LDS). Different from the existing researches, the connection edge between nodes is regarded as LDS, in which the weighted-values of links are deemed as the state variables of LDS. By introducing the outgoing links vector, the dynamics model of LDS is described through the difference vector equation instead of matrix difference equation, which provides the more intuitive geometric features and convenient mathematical method due to the flexible mathematical operational properties of vector. Moreover, under the state of LDS is completely unavailable, the tracking control scheme consisted of controller of NDS and coupling term of LDS is synthesized only by the available node state variables to guarantee realizing the tracking task. Finally, a simulation example is provided to verify the effectiveness of the proposed tracking control scheme.