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论文类型：期刊论文

发表时间：2018-01-01

发表刊物：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录刊物：SCIE、Scopus

卷号：63

期号：1

页面范围：262-268

ISSN号：0018-9286

关键字：Boolean networks; logical networks (LN); optimal control; semi-tensor product; stochastic logical networks (SLNs)

摘要：Stochastic logical networks (SLNs) are discrete-time stochastic dynamical systems with Boolean (or multivalued) logical state variables. The discounted infinite horizon optimal control problem for SLN is addressed in this paper. By resorting to the equivalent Markov decision process description, the infinite horizon optimization problem is presented in algebraic form. Then using the increasing-dimension technique, an improved finite convergence criterion, which can find the optimal stationary policy, is derived for value iteration approach. To demonstrate the theoretical value of this approach, it is applied to the optimization problems of the human-machine game and the p53-Mdm2 gene network.