• DocumentCode
    231690
  • Title

    Observability of Boolean networks with time delays in states and controls

  • Author

    He Yun ; Li Junmin

  • Author_Institution
    Dept. of Math., Shaanxi Xueqian Normal Univ., Xi´an, China
  • fYear
    2014
  • fDate
    28-30 July 2014
  • Firstpage
    4113
  • Lastpage
    4118
  • Abstract
    This paper investigates the observability of a temporal Boolean network with the time varying. First, using the theory of semi-tensor product of matrices, the logical systems can be converted into a discrete time dynamical systems. Then, the necessary and sufficient conditions of the observability for a temporal Boolean networks via two kinds of inputs are proved, respectively. Finally, examples are given to illustrate the efficiency of the obtained results.
  • Keywords
    Boolean algebra; delays; matrix multiplication; network theory (graphs); observability; time-varying systems; discrete time dynamical systems; logical systems; necessary and sufficient conditions; semitensor matrix product; temporal Boolean network observability; time delays; Biological system modeling; Controllability; Delay effects; Delays; Mathematical model; Matrix converters; Observability; observability; semi-tensor product; temporal Boolean network;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (CCC), 2014 33rd Chinese
  • Conference_Location
    Nanjing
  • Type

    conf

  • DOI
    10.1109/ChiCC.2014.6895627
  • Filename
    6895627