Finite-time pinning stabilization of Markovian jump Boolean networks

Finite-time stabilization problem of Markovian jump Boolean networks is investigated via pinning control in this paper. Firstly, on the basis of converting Markovian jump Boolean networks into Markov chains, a necessary and sufficient condition for the finite-time stabilization of Markovian jump Boolean networks is put forward. Secondly, an algorithm for calculating minimum number of pinning nodes is devised by altering the transition probability matrix of Markov chains. Furthermore, after the pinning nodes and the stable transition matrix are determined, a method for designing all the required pin-ning state feedback controllers is proposed. Finally, a biological example is presented to illustrate the feasibility of theoretical results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.