Minimum energy control and optimal-satisfactory control of Boolean control network. (English) Zbl 1302.93102
Summary: In the literatures, to transfer the Boolean control network from the initial state to the desired state, the expenditure of energy has been rarely considered. Motivated by this, this Letter investigates the minimum energy control and optimal-satisfactory control of Boolean control network. Based on the semi-tensor product of matrices and Floyd’s algorithm, minimum energy, constrained minimum energy and optimal-satisfactory control design for Boolean control network are given respectively. A numerical example is presented to illustrate the efficiency of the obtained results.
MSC:
| 93B40 | Computational methods in systems theory (MSC2010) |
| 49N90 | Applications of optimal control and differential games |
| 94C10 | Switching theory, application of Boolean algebra; Boolean functions (MSC2010) |
| 90C09 | Boolean programming |
Keywords:
Boolean control network; minimum energy control; optimal-satisfactory control; semi-tensor productReferences:
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