Neural networks letter: Controllability and optimal control of a temporal Boolean network

Authors:
Fangfei Li;Jitao Sun
Affiliations:
Department of Mathematics, Tongji University, Shanghai, China and Department of Mathematics, East China University of Science and Technology, Shanghai, China;Department of Mathematics, Tongji University, Shanghai, China
Venue:
Neural Networks
Year:
2012

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Abstract

This paper investigates the controllability and optimal control of a temporal Boolean network, where the time delays are time variant. First, using the theory of semi-tensor product of matrices, the logical systems can be converted into a discrete time variant system. Second, necessary and sufficient conditions for the controllability via two types of controls are provided respectively. Third, optimal control design algorithms are presented. Finally, examples are given to illustrate the proposed results.