Abstract
This paper addresses the reachability/controllability of high order mix-valued logical control networks by using the semi-tensor product method, and presents some necessary and sufficient conditions for the reachability/controllability. The high order mix-valued logical network is converted into an algebraic form first, based on which the reachability/controllability of the system is then investigated, and several necessary and sufficient conditions are established. The study of several illustrative examples shows that our new method is very effective in dealing with the reachability/controllability of high order mix-valued logical control networks.
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This research is supported by the National Natural Science Foundation of China under Grant Nos. 61074068, 61034007, 61174036, the Research Fund for the Taishan Scholar Project of Shandong Province of China, and the Natural Science Foundation of Shandong Province under Grant No. ZR2010FM013.
This paper was recommended for publication by Editor LÜ Jinhu.
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Liu, Z., Wang, Y. Reachability/controllability of high order mix-valued logical networks. J Syst Sci Complex 26, 341–349 (2013). https://doi.org/10.1007/s11424-013-2047-z
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DOI: https://doi.org/10.1007/s11424-013-2047-z