CLC number: TP13
On-line Access: 2020-03-04
Received: 2019-08-29
Revision Accepted: 2019-10-21
Crosschecked: 2019-12-11
Cited: 0
Clicked: 4968
Citations: Bibtex RefMan EndNote GB/T7714
Nan Jiang, Chi Huang, Yao Chen, Jrgen Kurths. Bisimulation-based stabilization of probabilistic Boolean control networks with state feedback control[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.1900447 @article{title="Bisimulation-based stabilization of probabilistic Boolean control networks with state feedback control", %0 Journal Article TY - JOUR
带状态反馈控制的概率布尔网络上基于互模拟的稳定性研究1西南财经大学经济信息工程学院,中国成都市,611130 2东南大学数学学院,中国南京市,210096 3波茨坦气候影响研究所,德国波茨坦,14412 4柏林洪堡大学物理系,德国柏林,12489 5萨拉托夫州立大学,俄罗斯萨拉托夫,410012 摘要:研究具有状态反馈控制的概率布尔控制网络。为降低计算复杂度,定义一种新的互模拟概率布尔控制网络。为更好理解概率布尔控制网络之间的互模拟关系,使用一种半张量积的强大矩阵运算。由于网络稳定至关重要,考虑互模拟概率布尔控制网络之间的1-概率稳定传播,并证明可行性。如果两个概率布尔控制网络之间匹配互模拟关系,则它们的过渡阶段(实现稳定的最大步骤数)被证明相同。之后,将结果推广到概率布尔网络。 关键词组: Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article
Reference[1]Bof N, Fornasini E, Valcher ME, 2015. Output feedback stabilization of Boolean control networks. Automatica, 57:21-28. [2]Chen H, Liang J, Wang Z, 2016. Pinning controllability of autonomous Boolean control networks. Sci China Inform Sci, 59(7):070107. [3]Cheng D, 2009. Input-state approach to Boolean networks. IEEE Trans Neur Netw, 20(3):512-521. [4]Cheng D, Qi H, 2009. Controllability and observability of Boolean control networks. Automatica, 45(7):1659-1667. [5]Cheng D, Li Z, Qi H, 2010a. Realization of Boolean control networks. Automatica, 46(1):62-69. [6]Cheng D, Qi H, Li Z, 2010b. Analysis and Control of Boolean Networks. Springer, London, UK. [7]Cheng D, Qi H, Li Z, et al., 2011. Stability and stabilization of Boolean networks. Int J Robust Nonl Contr, 21(2):134-156. [8]Ching WK, Zhang SQ, Jiao Y, et al., 2009. Optimal control policy for probabilistic Boolean networks with hard constraints. IET Syst Biol, 3(2):90-99. [9]Fornasini E, Valcher ME, 2012. Observability, reconstructibility and state observers of Boolean control networks. IEEE Trans Autom Contr, 58(6):1390-1401. [10]Fornasini E, Valcher ME, 2014. Optimal control of Boolean control networks. IEEE Trans Autom Contr, 59(5):1258-1270. [11]Guo Y, Wang P, Gui W, et al., 2015. Set stability and set stabilization of Boolean control networks based on invariant subsets. Automatica, 61:106-112. [12]Huang C, Wang W, Cao JD, et al., 2018. {Synchronization-based passivity of partially coupled neural networks with event-triggered communication}. Neurocomputing, 319:134-143. [13]Huang C, Lu JQ, Ho WCD, et al., 2020. {Stabilization of probabilistic Boolean networks via pinning control strategy}. Inform Sci, 510:205-217. [14]Kauffman SA, 1969. Metabolic stability and epigenesis in randomly constructed genetic nets. J Theor Biol, 22(3):437-467. [15]Laschov D, Margaliot M, 2012. Controllability of Boolean control networks via the Perron-Frobenius theory. Automatica, 48(6):1218-1223. [16]Li BW, Lou JG, Liu Y, et al., 2019. Robust invariant set analysis of Boolean networks. Complexity, 2019:2731395. [17]Li FF, 2016. Pinning control design for the stabilization of Boolean networks. IEEE Trans Neur Netw Learn Syst, 27(7):1585-1590. [18]Li FF, Xie LH, 2019. Set stabilization of probabilistic Boolean networks using pinning control. IEEE Trans Neur Netw Learn Syst, 30(8):2555-2561. [19]Li FF, Yu ZX, 2016. Anti-synchronization of two coupled Boolean networks. J Franklin Inst, 353(18):5013-5024. [20]Li HT, Wang YZ, 2016. Minimum-time state feedback stabilization of constrained Boolean control networks. Asian J Contr, 18(5):1688-1697. [21]Li R, Yang M, Chu TG, 2014a. State feedback stabilization for probabilistic Boolean networks. Automatica, 50(4):1272-1278. [22]Li R, Yang M, Chu TG, 2014b. State feedback stabilization for probabilistic Boolean networks. Automatica, 50(4):1272-1278. [23]Li R, Chu TG, Wang XY, 2018. Bisimulations of Boolean control networks. SIAM J Contr Optim, 56(1):388-416. [24]Li YY, Li BW, Liu Y, et al., 2018. Set stability and stabilization of switched Boolean networks with state-based switching. IEEE Access, 6:35624-35630. [25]Li YY, Liu RJ, Lou JG, et al., 2019. Output tracking of Boolean control networks driven by constant reference signal. IEEE Access, 7:112572-112577. [26]Liang JH, Han J, 2012. Stochastic Boolean networks: an efficient approach to modeling gene regulatory networks. BMC Syst Biol, 6(1):113. [27]Liang JL, Chen HW, Liu Y, 2017. On algorithms for state feedback stabilization of Boolean control networks. Automatica, 84:10-16. [28]Liu RJ, Qian CJ, Liu SQ, et al., 2016. State feedback control design for Boolean networks. BMC Syst Biol, 10(3):70. [29]Liu Y, Li BW, Lu JQ, et al., 2017. Pinning control for the disturbance decoupling problem of Boolean networks. IEEE Trans Autom Contr, 62(12):6595-6601. [30]Lu J, Zhong J, Huang C, et al., 2016. On pinning controllability of Boolean control networks. IEEE Trans Autom Contr, 61(6):1658-1663. [31]Lu J, Li M, Huang T, et al., 2018a. The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices. Automatica, 96:393-397. [32]Lu J, Sun L, Liu Y, et al., 2018b. Stabilization of Boolean control networks under aperiodic sampled-data control. SIAM J Contr Optim, 56(6):4385-4404. [33]Ma Z, Wang ZJ, McKeown MJ, 2008. {Probabilistic Boolean network analysis of brain connectivity in Parkinson’s disease}. IEEE J Sel Top Signal Process, 2(6):975-985. [34]Shmulevich I, Dougherty ER, Kim S, et al., 2002. Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks. Bioinformatics, 18(2):261-274. [35]Sun LJ, Lu JQ, Ching WK, 2020. Switching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable. Front Inform Technol Electron Eng, 21(2):260-267. [36]Tong LY, Liu Y, Li YY, et al., 2018a. Robust control invariance of probabilistic Boolean control networks via event-triggered control. IEEE Access, 6:37767-37774. [37]Tong LY, Liu Y, Lou JG, et al., 2018b. Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks. Appl Math Comput, 332:263-275. [38]Veliz-Cuba A, Stigler B, 2011. Boolean models can explain bistability in the lac operon. J Comput Biol, 18(6):783-794. [39]Wang LP, Pichler EE, Ross J, 1990. Oscillations and chaos in neural networks: an exactly solvable model. PANS, 87(23):9467-9471. [40]Xiong WJ, Ho WCD, Xu L, 2019. Multi-layered sampled-data iterative learning tracking for discrete systems with cooperative-antagonistic interactions. IEEE Trans Cybern, online. [41]Zhu QX, Liu Y, Lu JQ, et al., 2018. On the optimal control of Boolean control networks. SIAM J Contr Optim, 56(2):1321-1341. [42]Zhu QX, Liu Y, Lu JQ, et al., 2019. Further results on the controllability of Boolean control networks. IEEE Trans Autom Contr, 64(1):440-442. [43]Zhu SY, Lou J, Liu Y, et al., 2018. Event-triggered control for the stabilization of probabilistic Boolean control networks. Complexity, 2018:9259348. [44]Zhu SY, Lu JG, Liu Y, 2019. Asymptotical stability of probabilistic Boolean networks with state delays. IEEE Trans Autom Contr, online. Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou
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