Abstract

This paper investigates the stability and uniform sampled-data stabilization of state-dependent delayed Boolean networks (SDDBNs) with state constraints. Firstly, the dynamics of SDDBNs with state constraints is converted into an algebraic form by using the semi-tensor product of matrices. Secondly, based on the algebraic form, a necessary and sufficient condition is presented for the stability of SDDBNs with state constraints. Thirdly, based on the trajectory constrained sampled-data con-trollability, a necessary and sufficient condition is presented for the state feedback sampled-data stabilization of state-dependent delayed Boolean control networks (SDDBCNs) with state constraints. Finally, an example is worked out to show the effectiveness of the obtained new results.

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