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Disturbance Decoupling of Singular Boolean Control Networks

Published: 01 November 2016 Publication History

Abstract

This paper investigates the controller designing for disturbance decoupling problem DDP of singular Boolean control networks SBCNs. Using semi-tensor product STP of matrices and the Implicit Function Theorem, a SBCN is converted into the standard BCN. Based on the redundant variable separation technique, both state feedback and output feedback controllers are designed to solve the DDP of the SBCN. Sufficient conditions are also given to analyze the invariance of controllers concerning the DDP of the SBCN with function perturbation. Two illustrative examples are presented to support the effectiveness of these obtained results.

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Cited By

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  • (2019)An improved multiple‐state observer of Boolean control networksAsian Journal of Control10.1002/asjc.225621:6(2651-2661)Online publication date: 19-Nov-2019
  • (2019)Bisimulations of boolean control networks with impulsive effects and its application in controllabilityAsian Journal of Control10.1002/asjc.214521:6(2559-2568)Online publication date: 9-May-2019
  • (2017)Robust Reachability of Boolean Control NetworksIEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)10.1109/TCBB.2016.255530214:3(740-745)Online publication date: 1-May-2017
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cover image IEEE/ACM Transactions on Computational Biology and Bioinformatics
IEEE/ACM Transactions on Computational Biology and Bioinformatics  Volume 13, Issue 6
November 2016
198 pages

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IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 November 2016
Published in TCBB Volume 13, Issue 6

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View all
  • (2019)An improved multiple‐state observer of Boolean control networksAsian Journal of Control10.1002/asjc.225621:6(2651-2661)Online publication date: 19-Nov-2019
  • (2019)Bisimulations of boolean control networks with impulsive effects and its application in controllabilityAsian Journal of Control10.1002/asjc.214521:6(2559-2568)Online publication date: 9-May-2019
  • (2017)Robust Reachability of Boolean Control NetworksIEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)10.1109/TCBB.2016.255530214:3(740-745)Online publication date: 1-May-2017
  • (2017)Output feedback disturbance decoupling of boolean control networks: A logical matrix factorization approach2017 13th IEEE Conference on Automation Science and Engineering (CASE)10.1109/COASE.2017.8256100(181-186)Online publication date: 20-Aug-2017
  • (2017)Controllability of dynamic-algebraic mix-valued logical control networks2017 13th IEEE Conference on Automation Science and Engineering (CASE)10.1109/COASE.2017.8256098(171-176)Online publication date: 20-Aug-2017

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