Robust Sampled-data Control Invariance for Boolean Control Networks
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- 英文论文题名：Robust Sampled-data Control Invariance for Boolean Control Networks
- 论文作者：Liyun Tong ; Shiyong Zhu ; Bo Wu ; Yang Liu
- 英文论文作者：Liyun Tong ; Shiyong Zhu ; Bo Wu ; Yang Liu ; College of Mathematics ; Physics and Information Engineering ; Zhejiang Normal University ; Graduate School ; Zhejiang Normal University ; Department of Mathematics ; Southeast University
- 年：2017
- 作者机构：College of Mathematics,Physics and Information Engineering,Zhejiang Normal University;Graduate School,Zhejiang Normal University;Department of Mathematics,Southeast University;
- 英文论文关键词：Boolean control network ; robust sampled-data control invariance ; semi-tensor product
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：TP273
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：5
- 文件大小：200k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, we investigate the robust sampled-data control invariance of Boolean control networks(BCNs) via semi-tensor product of matrices. A necessary and sufficient condition is obtained to check whether or not a given set is robust sampled-data control invariant under a given sampled-data state feedback controller(SDSFC). At last, the study of model about lac operon in the Escherichia coli shows the validness of our main results.
In this paper, we investigate the robust sampled-data control invariance of Boolean control networks(BCNs) via semi-tensor product of matrices. A necessary and sufficient condition is obtained to check whether or not a given set is robust sampled-data control invariant under a given sampled-data state feedback controller(SDSFC). At last, the study of model about lac operon in the Escherichia coli shows the validness of our main results.
In this paper, we investigate the robust sampled-data control invariance of Boolean control networks(BCNs) via semi-tensor product of matrices. A necessary and sufficient condition is obtained to check whether or not a given set is robust sampled-data control invariant under a given sampled-data state feedback controller(SDSFC). At last, the study of model about lac operon in the Escherichia coli shows the validness of our main results.
引文
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[2]E.H.Davidson,J.P.Rast,P.Oliveri,A.Ransick,C.Calestani,C.-H.Yuh,T.Minokawa,G.Amore,V.Hinman,C.ArenasMena et al.,“A genomic regulatory network for development,”Science,vol.295,no.5560,pp.1669–1678,2002.
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[10]Z.-G.Wu,P.Shi,H.Su,and J.Chu,“Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.23,no.9,pp.1368–1376,2012.
[11]J.Zhong,J.Lu,T.Huang,and D.C.Ho,“Controllability and synchronization analysis of identical-hierarchy mixedvalued logical control networks,”IEEE Trans.Cybern.,2016,doi:10.1109/TCYB.2016.2560240.
[12]Y.Liu,L.Sun,J.Lu,and J.Liang,“Feedback controller design for the synchronization of Boolean control networks,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.27,no.9,pp.1991–1996,2016.
[13]J.Lu,J.Kurths,J.Cao,N.Mahdavi,and C.Huang,“Synchronization control for nonlinear stochastic dynamical networks:pinning impulsive strategy,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.23,no.2,pp.285–292,2012.
[14]M.Yang,R.Li,and T.Chu,“Controller design for disturbance decoupling of Boolean control networks,”Automatica,vol.49,no.1,pp.273–277,2013.
[15]D.Cheng,“Disturbance decoupling of Boolean control networks,”IEEE Transactions on Automatic Control,vol.56,no.1,pp.2–10,2011.
[16]Y.Liu,B.Li,and J.Lou,“Disturbance decoupling of singular Boolean control networks,”IEEE/ACM Transactions on Computational Biology Bioinformatics,vol.13,pp.1194–1200,2016.
[17]H.Li,L.Xie,and Y.Wang,“On robust control invariance of Boolean control networks,”Automatica,vol.68,no.C,pp.392–396,2016.
[18]F.Li and Y.Tang,“Robust reachability of Boolean control networks,”IEEE/ACM Transactions on Computational Biology and Bioinformatics,2016,doi:10.1109/TCBB.2016.2555302.
[19]Y.Kim,S.Han,S.Cho,and I.Ha,“Learning approach to control of servomotors under disturbance torque dependent on time and states,”IEE Proceedings-Control Theory and Applications,vol.145,no.3,pp.251–258,1998.
[20]D.Zhang,M.Zeng,and B.Su,“Rejection of nonlinear disturbances dependent on states in velocity regulation systems arith finite-dimensional repetitive control,”in International Conference on Control and Automation,2002.Icca.Final Program and Book of,2002,pp.110–111.
[21]R.Li,M.Yang,and T.Chu,“State feedback stabilization for Boolean control networks,”IEEE Transactions on Automatic Control,vol.58,no.7,pp.1853–1857,2013.
[22]F.Li,“Stability of Boolean networks with delays using pinning control,”IEEE Transactions on Control of Network Systems,2016,doi:10.1109/TCNS.2016.2585861.
[23]H.Li,L.Xie,and Y.Wang,“Output regulation of Boolean control networks,”IEEE Transactions on Automatic Control,2016,doi:10.1109/TAC.2016.2606600.
[24]P.Naghshtabrizi,J.P.Hespanha,and A.R.Teel,“On the robust stability and stabilization of sampled-data systems:A hybrid system approach,”in Proceedings of the 45th IEEE Conference on Decision and Control,4873–4878,2006.
[25]D.Lee and Y.Joo,“A note on sampled-data stabilization of lti systems with aperiodic sampling,”IEEE Transactions on Automatic Control,vol.60,no.10,pp.2746–2751,2015.
[26]E.Fridman,A.Seuret,and J.P.Richard,“Robust sampleddata control:An input delay approach,”Lecture Notes in Control&Information Sciences,vol.352,pp.315–327,2007.
[27]L.Rodrigues,“Sampled-data state feedback control of piecewise-affine systems,”in Proceedings of the 44th IEEE Conference on Decision and Control,4487–4492,2015.
[28]Y.Liu,J.Cao,L.Sun,and J.Lu,“Sampled-data state feedback stabilization of Boolean control networks,”Neural Computation,vol.28,no.4,pp.778–799,2016.
[29]H.Li,Y.Wang,and Z.Liu,“Simultaneous stabilization for a set of Boolean control networks,”Systems&Control Letters,vol.62,no.12,pp.1168–1174,2013.
[2]E.H.Davidson,J.P.Rast,P.Oliveri,A.Ransick,C.Calestani,C.-H.Yuh,T.Minokawa,G.Amore,V.Hinman,C.ArenasMena et al.,“A genomic regulatory network for development,”Science,vol.295,no.5560,pp.1669–1678,2002.
[3]D.Cheng,H.Qi,and Z.Li,”Analysis and control of Boolean networks:a semi-tensor product approach”.Springer Science&Business Media,2010.
[4]D.Cheng and H.Qi,“A linear representation of dynamics of Boolean networks,”IEEE Trans.Autom.Control,vol.55,no.10,pp.2251–2258,2010.
[5]D.Cheng and H.Qi,“Controllability and observability of Boolean control networks,”Automatica,vol.45,no.7,pp.1659–1667,2009.
[6]E.Fornasini and M.E.Valcher,“On the periodic trajectories of Boolean control networks,”Automatica,vol.49,no.5,pp.1506–1509,2013.
[7]D.Laschov and M.Margaliot,“Controllability of Boolean control networks via the Perron–Frobenius theory,”Automatica,vol.48,no.6,pp.1218–1223,2012.
[8]Y.Liu,H.Chen,J.Lu,and B.Wu,“Controllability of probabilistic Boolean control networks based on transition probability matrices,”Automatica,vol.52,pp.340–345,2015.
[9]D.Laschov and M.Margaliot,“Minimum-time control of Boolean networks,”SIAM J.Control Optim.,vol.51,no.4,pp.2869–2892,2013.
[10]Z.-G.Wu,P.Shi,H.Su,and J.Chu,“Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.23,no.9,pp.1368–1376,2012.
[11]J.Zhong,J.Lu,T.Huang,and D.C.Ho,“Controllability and synchronization analysis of identical-hierarchy mixedvalued logical control networks,”IEEE Trans.Cybern.,2016,doi:10.1109/TCYB.2016.2560240.
[12]Y.Liu,L.Sun,J.Lu,and J.Liang,“Feedback controller design for the synchronization of Boolean control networks,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.27,no.9,pp.1991–1996,2016.
[13]J.Lu,J.Kurths,J.Cao,N.Mahdavi,and C.Huang,“Synchronization control for nonlinear stochastic dynamical networks:pinning impulsive strategy,”IEEE Trans.Neur.Netw.Learn.Syst.,vol.23,no.2,pp.285–292,2012.
[14]M.Yang,R.Li,and T.Chu,“Controller design for disturbance decoupling of Boolean control networks,”Automatica,vol.49,no.1,pp.273–277,2013.
[15]D.Cheng,“Disturbance decoupling of Boolean control networks,”IEEE Transactions on Automatic Control,vol.56,no.1,pp.2–10,2011.
[16]Y.Liu,B.Li,and J.Lou,“Disturbance decoupling of singular Boolean control networks,”IEEE/ACM Transactions on Computational Biology Bioinformatics,vol.13,pp.1194–1200,2016.
[17]H.Li,L.Xie,and Y.Wang,“On robust control invariance of Boolean control networks,”Automatica,vol.68,no.C,pp.392–396,2016.
[18]F.Li and Y.Tang,“Robust reachability of Boolean control networks,”IEEE/ACM Transactions on Computational Biology and Bioinformatics,2016,doi:10.1109/TCBB.2016.2555302.
[19]Y.Kim,S.Han,S.Cho,and I.Ha,“Learning approach to control of servomotors under disturbance torque dependent on time and states,”IEE Proceedings-Control Theory and Applications,vol.145,no.3,pp.251–258,1998.
[20]D.Zhang,M.Zeng,and B.Su,“Rejection of nonlinear disturbances dependent on states in velocity regulation systems arith finite-dimensional repetitive control,”in International Conference on Control and Automation,2002.Icca.Final Program and Book of,2002,pp.110–111.
[21]R.Li,M.Yang,and T.Chu,“State feedback stabilization for Boolean control networks,”IEEE Transactions on Automatic Control,vol.58,no.7,pp.1853–1857,2013.
[22]F.Li,“Stability of Boolean networks with delays using pinning control,”IEEE Transactions on Control of Network Systems,2016,doi:10.1109/TCNS.2016.2585861.
[23]H.Li,L.Xie,and Y.Wang,“Output regulation of Boolean control networks,”IEEE Transactions on Automatic Control,2016,doi:10.1109/TAC.2016.2606600.
[24]P.Naghshtabrizi,J.P.Hespanha,and A.R.Teel,“On the robust stability and stabilization of sampled-data systems:A hybrid system approach,”in Proceedings of the 45th IEEE Conference on Decision and Control,4873–4878,2006.
[25]D.Lee and Y.Joo,“A note on sampled-data stabilization of lti systems with aperiodic sampling,”IEEE Transactions on Automatic Control,vol.60,no.10,pp.2746–2751,2015.
[26]E.Fridman,A.Seuret,and J.P.Richard,“Robust sampleddata control:An input delay approach,”Lecture Notes in Control&Information Sciences,vol.352,pp.315–327,2007.
[27]L.Rodrigues,“Sampled-data state feedback control of piecewise-affine systems,”in Proceedings of the 44th IEEE Conference on Decision and Control,4487–4492,2015.
[28]Y.Liu,J.Cao,L.Sun,and J.Lu,“Sampled-data state feedback stabilization of Boolean control networks,”Neural Computation,vol.28,no.4,pp.778–799,2016.
[29]H.Li,Y.Wang,and Z.Liu,“Simultaneous stabilization for a set of Boolean control networks,”Systems&Control Letters,vol.62,no.12,pp.1168–1174,2013.