References
Cheng D Z, Qi H S, Li Z Q. Analysis and Control of Boolean Networks: A Semi-tensor Product Approach. Berlin: Springer, 2011
Li H T, Zhao G D, Guo P L, et al. Analysis and Control of Finite-value Systems. Boca Raton: CRC Press, 2018
Wu Y H, Shen T L. An algebraic expression of finite horizon optimal control algorithm for stochastic logical dynamical systems. Syst Control Lett, 2015, 82: 108–114
Li H T, Zhao G D, Meng M, et al. A survey on applications of semi-tensor product method in engineering. Sci China Inf Sci, 2018, 61: 010202
Lu J Q, Li M L, Liu Y, et al. Nonsingularity of Grainlike cascade FSRs via semi-tensor product. Sci China Inf Sci, 2018, 61: 010204
Cheng D Z, Qi H S. State-space analysis of Boolean networks. IEEE Trans Neural Netw, 2010, 21: 584–594
Li B W, Liu Y, Kou K I, et al. Event-triggered control for the disturbance decoupling problem of Boolean control networks. IEEE Trans Cybern, 2018, 48: 2764–2769
Zou Y L, Zhu J D. Kalman decomposition for Boolean control networks. Automatica, 2015, 54: 65–71
Zhu J D, Jü P J. Regular subspaces and invariant subspaces of Boolean control networks. IET Control Theory Appl, 2016, 10: 504–508
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant No. 61873150) and Natural Science Fund for Distinguished Young Scholars of Shandong Province (Grant No. JQ201613).
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Liu, A., Li, H. On feedback invariant subspace of Boolean control networks. Sci. China Inf. Sci. 63, 229201 (2020). https://doi.org/10.1007/s11432-019-9869-6
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DOI: https://doi.org/10.1007/s11432-019-9869-6