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access icon free Matrix approach to trajectory control of higher-order k-valued logical control networks

  • Author(s): Guodong Zhao 1  and  Shihua Fu 2
    • View affiliations
    • Affiliations: 1: School of Mathematics and Statistics, Shandong Normal University, Jinan, People's Republic of China ;
      2: School of Control Science and Engineering, Shandong University, Jinan, People's Republic of China
  • Source: Volume 11, Issue 13, 01 September 2017, p. 2110 – 2115
    DOI:  10.1049/iet-cta.2016.1252 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 07/10/2016, Accepted 11/03/2017, Revised 06/02/2017, Published 16/03/2017

This study investigates the trajectory controllability of higher-order k-valued logical control networks, and presents a number of new results. First, the higher-order k-valued logical control networks are considered as the mappings from the space of input trajectories to the space of output trajectories, based on which the continuity and surjectivity of higher-order k-valued logical control networks are analysed via the theory of symbolic dynamics. Second, as the concept for trajectory controllability of higher-order k-valued logical control networks is defined, an equivalent test criterion is presented for the trajectory controllability via the semi-tensor product method. Moreover, an effective method is proposed to find the control sequence for the trajectory controllability. Finally, an illustrative example is worked out to support the obtained new results.

Inspec keywords: tensors; trajectory control; matrix algebra; controllability

Other keywords: symbolic dynamics; trajectory control; higher-order k-valued logical control networks; output trajectories; input trajectories; trajectory controllability; semi-tensor product method; matrix approach

Subjects: Control system analysis and synthesis methods; Spatial variables control; Algebra

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