Topological structure and optimal control of singular mix-valued logical networks
نویسندگان
چکیده
This paper introduces singular mix-valued logical networks and singular mix-valued logical control networks. Via semi-tensor product, a singular mix-valued logical network can be converted to an algebraic form. On this basis, the normalization problem and solvability are discussed. Then, fixed points and cycles of singular mix-valued logical networks are also studied. Furthermore, the optimal control problem of singular mix-valued logical control networks is presented and a necessary condition for the existence of the optimal control is supplied, based on which, an algorithm is provided. Illustrative examples are given to show the feasibility of the results.
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