Robust sampled-data control invariance for Boolean control networks. (English) Zbl 1373.93101
Summary: In this paper, we investigate the robust sampled-data control invariance of Boolean Control Networks (BCNs) via the semi-tensor product of matrices. Necessary and sufficient conditions are obtained to check whether a set is a robust sampled-data control invariant set through a given Sampled-Data State Feedback Controller (SDSFC). Moreover, a SDSFC is designed to make a given set to be a robust sampled-data control invariant set. At last, the study of model about lac operon in the Escherichia coli shows the effectiveness of the main results.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
Keywords:
robust sampled-data control invariance; Boolean control networks; semi-tensor product; sampled-data state feedback controller (SDSFC)References:
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