Survey on semi‐tensor product method with its applications in logical networks and other finite‐valued systems
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Shmulevich I., 2002, Probabilistic Boolean networks: a rule‐based uncertainty model for gene regulatory networks, IEEE/ACM Trans. Comput. Biol. Bioinf., 18, 261
Cheng D., 2010, Analysis and control of Boolean networks: a semi‐tensor product approach
Hochma G., 2013, Symbolic dynamics of Boolean control networks, Automatica, 49, 2525, 10.1016/j.automatica.2013.05.004
Li F., 2015, Pinning control design for the stabilization of Boolean networks, IEEE Trans. Neural Netw. Learn. Syst., 27, 1585, 10.1109/TNNLS.2015.2449274
Liu Y., 2015, Controllability of probabilistic Boolean control networks based on transition probability matrices, Bul. Inst. Politeh. ‘Gheorghe Gheorghiu‐Dej’ Bucur. Ser. Autom., 52, 340
Lu J., 2014, Synchronization in output‐coupled temporal Boolean networks, Sci. Rep., 4, 6292, 10.1038/srep06292
Zhang H., 2016, Synchronization analysis and design of coupled Boolean networks based on periodic switching sequences, IEEE Trans. Neural Netw. Learn. Syst., 27, 2754, 10.1109/TNNLS.2015.2499446
Li H., 2015, Output tracking control of Boolean control networks via state feedback: constant reference signal case, Bul. Inst. Politeh. ‘Gheorghe Gheorghiu‐Dej’ Bucur. Ser. Autom., 59, 54
Li H., 2016, Output regulation of Boolean control networks, IEEE Trans. Autom. Control
Cheng D., 2010, Realization of Boolean control networks, Bul. Inst. Politeh. ‘Gheorghe Gheorghiu‐Dej’ Bucur. Ser. Autom., 46, 62
Li F., 2012, Controllability and optimal control of a temporal Boolean network, IEEE Trans. Neural Netw., 34, 10, 10.1016/j.neunet.2012.06.002
Li H., 2015, Logical matrix factorization with application to topological structure analysis of Boolean network, IEEE Trans. Autom. Control, 60, 1380, 10.1109/TAC.2014.2348216
Liu Z., 2014, Two kinds of optimal controls for probabilistic mix‐valued logical dynamic networks, Sci. China Inform. Sci., 57, 1, 10.1007/s11432-013-4796-7
Zhong J., 2016, Controllability and synchronization analysis of identical‐hierarchy mixed‐valued logical control networks, IEEE Trans. Cybern., 1
Wang Y., 2012, A matrix approach to graph maximum stable set and coloring problems with application to multi‐agent systems, Bul. Inst. Politeh. ‘Gheorghe Gheorghiu‐Dej’ Bucur. Ser. Autom., 48, 1227
Zhao D., 2014, Novel way to research nonlinear feedback shift register, Sci. China Inform. Sci., 57, 1, 10.1007/s11432-013-5058-4
Han X., 2015, Calculation of siphons and minimal siphons in petri nets based on semi‐tensor product of matrices, IEEE Trans. Syst. Man Cybern. Syst., 47, 531, 10.1109/TSMC.2015.2507162
Xu X., 2013, Matrix approach to model matching of asynchronous sequential machines, IEEE Trans. Autom. Control, 11, 2974, 10.1109/TAC.2013.2259957
Cheng D., 2014, Evolutionarily stable strategy of networked evolutionary games, IEEE Trans. Neural Netw. Learn. Syst., 25, 1335, 10.1109/TNNLS.2013.2293149
Khatri C., 1968, Solutions to some functional equations and their applications to characterization of probability distributions, Sankhyā, 30, 167
Li R., 2012, Synchronization in an array of coupled Boolean networks, Mod. Phys. Lett. A, 376, 3071, 10.1016/j.physleta.2012.08.037
Zhang K., 2016, An application of invertibility of Boolean control networks to the control of the mammalian cell cycle, IEEE/ACM Trans. Comput. Biol. Bioinf., 14, 225, 10.1109/TCBB.2016.2515600
Li H., 2016, State feedback based output tracking control of probabilistic Boolean networks, Inf. Sci., 349, 1, 10.1016/j.ins.2016.02.035
Li F., 2016, Pinning control design for the synchronization of two coupled Boolean networks, IEEE Trans. Circ. Syst. II Express Briefs, 63, 309
Li F., 2015, Stability of a switched Boolean network via designing switching laws, Qual. Theory Dyn. Syst., 15, 1
Li F., 2014, Synchronization of coupled large‐scale Boolean networks, Chaos, 24, 013115, 10.1063/1.4863858
Chen H., 2016, Partial synchronization of interconnected Boolean networks, IEEE Trans. Syst. Man Cybern. Syst., 47, 258
Bof N., 2015, Output feedback stabilization of Boolean control networks, Automatica, 1, 1
Rushdi A., 2013, A tutorial exposition of semi‐tensor products of matrices with a stress on their representation of Boolean functions, J. King Abdulaziz Univ. FCIT
Li F., 2016, Feedback control design for the complete synchronisation of two coupled Boolean networks, Int. J. Syst. Sci., 47, 2996, 10.1080/00207721.2015.1053834
Shmulevich I., 2002, Gene perturbation and intervention in probabilistic Boolean networks, IEEE/ACM Trans. Comput. Biol. Bioinf., 18, 1319
Faryabi B., 2009, Intervention in context‐sensitive probabilistic Boolean networks revisited, EURASIP J. Bioinform. Syst. Biol., 2009, 1, 10.1155/2009/360864
Xiao Y., 2007, The impact of function perturbations in Boolean networks, IEEE/ACM Trans. Comput. Biol. Bioinf., 23, 1265