Output feedback stabilization of Boolean control networks

• Nicoletta Bof ^[1] ; Ettore Fornasini ^[1] ; Maria Elena Valcher ^[1]
  1. [1] Università di Padova, Italy
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 57, 2015, págs. 21-28
• Idioma: inglés
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• Resumen

  • In the paper output feedback control of Boolean control networks (BCNs) is investigated. First, necessary and sufficient conditions for the existence of a time-invariant output feedback (TIOF) law, stabilizing the BCN to some equilibrium point, are given, and constructive algorithms to test the existence of such a feedback law are proposed. Two sufficient conditions for the existence of a stabilizing time-varying output feedback (TVOF) are then given. Finally, an example concerning the lac Operon in the bacterium Escherichia Coli is presented, to illustrate the effectiveness of the proposed techniques.