Sampled-Data State Feedback Stabilization of Boolean Control Networks

Neural Computation - Tập 28 Số 4 - Trang 778-799 - 2016
Yang Liu1, Jinde Cao2, Liangjie Sun1, Jianquan Lu3
1Department of Mathematics, Southeast University, Nanjing 210096, China, and College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
2Research Center for Complex Systems and Network Sciences, Department of Mathematics, Southeast University, Nanjing 210096, China
3Department of Mathematics, Southeast University, Nanjing 210096, China

Tóm tắt

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.

Từ khóa


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Neural Computation

Tập 28 Số 4

778-799

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