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Strong structural controllability of signed networks

Mousavi, S. S ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1109/CDC40024.2019.9030233
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2019
  4. Abstract:
  5. In this paper, we discuss the controllability of a family of linear time-invariant (LTI) networks defined on a signed graph. In this direction, we introduce the notion of positive and negative signed zero forcing sets for the controllability analysis of positive and negative eigenvalues of system matrices with the same sign pattern. A sufficient combinatorial condition that ensures the strong structural controllability of signed networks is then proposed. Moreover, an upper bound on the maximum multiplicity of positive and negative eigenvalues associated with a signed graph is provided. © 2019 IEEE
  6. Keywords:
  7. Controllability ; Eigenvalues and eigenfunctions ; Controllability analysis ; Linear time invariant ; Maximum multiplicity ; Signed graphs ; Signed networks ; Structural controllability ; System matrices ; Zero forcing sets ; Linear control systems
  8. Source: 58th IEEE Conference on Decision and Control, CDC 2019, 11 December 2019 through 13 December 2019 ; Volume 2019-December , 2019 , Pages 4557-4562 ; 07431546 (ISSN); 9781728113982 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/9030233