Output tracking of Periodically Time-Variant Boolean Control Networks
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- 英文论文题名：Output tracking of Periodically Time-Variant Boolean Control Networks
- 论文作者：Biao Wang ; Jun-e Feng ; Min Meng
- 英文论文作者：Biao Wang ; Jun-e Feng ; Min Meng ; School of Mathematics ; Shandong University
- 年：2017
- 作者机构：School of Mathematics,Shandong University;
- 英文论文关键词：Periodically time-variant ; Boolean networks ; output tracking ; semi-tensor product of matrices
- 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：O231
- 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：6
- 文件大小：243k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the output tracking problem of periodically time-variant Boolean control networks. First, by semi-tensor product, output reachability of system is analyzed, which is the one of the key issues. Secondly, via the property of output reachability, a necessary and sufficient condition for the existence of a control for output tracking problem is proposed.Then, two design algorithms of a free control sequence and a state feedback control are established. Finally, one practical example is shown to demonstrate the effectiveness of the theoretical results.
This paper investigates the output tracking problem of periodically time-variant Boolean control networks. First, by semi-tensor product, output reachability of system is analyzed, which is the one of the key issues. Secondly, via the property of output reachability, a necessary and sufficient condition for the existence of a control for output tracking problem is proposed.Then, two design algorithms of a free control sequence and a state feedback control are established. Finally, one practical example is shown to demonstrate the effectiveness of the theoretical results.
This paper investigates the output tracking problem of periodically time-variant Boolean control networks. First, by semi-tensor product, output reachability of system is analyzed, which is the one of the key issues. Secondly, via the property of output reachability, a necessary and sufficient condition for the existence of a control for output tracking problem is proposed.Then, two design algorithms of a free control sequence and a state feedback control are established. Finally, one practical example is shown to demonstrate the effectiveness of the theoretical results.
引文
[1]S.Kauffman,Metabolic stability and epigenesis in randomly constructed genetic nets,Journal of Theoretical Bilology,22(3):437–467,1969.
[2]L.Shmulevich,E.Dougherty,S.Kim,and W.Zhang,Probabilistic Boolean networks:a rule-based uncertainty model for gene regulatory networks,Bioinformatics,18(12):261–274,2002.
[3]B.Drossel,T.Mihaljev,and F.Greil,Number and length of attractors in a critical Kauffman model with connectivity one,Physical Review Letters,94(8):1–4,2005.
[4]C.Farrow,J.Heidel,J.Maloney,and J.Rogers,Scalar equations for synchronous Boolean networks with biological applications,IEEE Transations on Neural Networks,15(12):348–354,2004.
[5]M.Chaves,Methods for qualitative analysis of genetic networks,in Proceedings of the 2009 European Control Conference,2009:671–676.
[6]K.Kobayashi,K.Hiraishi,Optimal control of asynchronous Boolean networks modeled by Petri nets,in Proceedings of the2nd International Workshop on Biological Process and Petri Nets,2011:7–20.
[7]K.Kobayashi,K.Hiraishi,Optimal control of Boolean biological networks modeled by Petri nets,IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,96(2):532–539,2013.
[8]D.Cheng,H.Qi,A linear representation of dynamics of Boolean networks,IEEE Transactions on Automatic Control,55(10):2251–2258,2010.
[9]D.Cheng,Z.Li,and H.Qi,Realization fo Boolean control networks,Automatica,46(1):62–29,2010.
[10]D.Cheng,Y.Zhao,Identification of Boolean control networks,Automatica,47(4):702–710,2011.
[11]D.Cheng,H.Qi,Controllability and observability of Boolean control networks,Automatica,45(7):2251–2258,2009.
[12]E.Fornasini,M.Valcher,Optimal control of Boolean control networks,Automatica,59(5):1258–1270,2014.
[13]D.Cheng,J.Liu,Stabilization of Boolean control networks,in Proceedings of joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference,2009:5269–5274.
[14]D.Bresch-Pietri,M.Krstic,Adaptive trajectory tracking despite unknown input delay and plant parameters,Automatica,45(9):2074–2081,2009.
[15]Y.Zhang,Q.Wang,C.Dong,and Y.Jiang,H∞output tracking control for flight control systems with time-varying delay,Chinese Journal of Aeronautics,26(5):1251–1258,2013.
[16]Y.Lin,T.Ma,W.Cao,and J.Zhang,Output tracking of networked control systems with delay compensations,in Proceedings of the 33rd Chinese Control Conference,2014:5678–5683.
[17]B.Wang,J.Feng,On reachability and controllability of periodically time-variant Boolean control networks,in Proceedings of the 35th Chinese Control Conference,2016:7309–7314.
[18]E.Fornasini,M.Valcher,Feedback stabilization,regulation and optimal control of Boolean control networks,in Proceedings of the 2014 American Control Conference,2014:1981–1986.
[19]H.Li,Y.Wang,and L,Xie,Output tracking control of Boolean control networks via state feedback:Constant reference signal case,Automatica,59:54–59,2015.
[20]H.Li,Y.Wang,Output tracking of switched Boolean networks under open-loop/closed-loop switching signals,Nonlinear Analysis:Hybrid Systems,22:137–146,2016.
[21]D.Cheng,H.Qi,and Z.Li,Analysis and Control of Boolean Networks:A Semi-Tensor Product Approach,Springer,2011.
[22]Y.Zou,J.Zhu,On cycles of periodically time-variant Boolean networks,in Proceedings of the 32nd Chinese Control Conference,2013:8256–8261.
[23]Y.Zou,J.Zhu,Cycles of periodically time-variant Boolean networks,Automatica,51:175–179,2015.
[24]D.Cheng,H.Qi,and Z.Li,Model construction of Boolean network via observed data,IEEE Transactions on Neural Networks,22(4):525–536,2011.
[2]L.Shmulevich,E.Dougherty,S.Kim,and W.Zhang,Probabilistic Boolean networks:a rule-based uncertainty model for gene regulatory networks,Bioinformatics,18(12):261–274,2002.
[3]B.Drossel,T.Mihaljev,and F.Greil,Number and length of attractors in a critical Kauffman model with connectivity one,Physical Review Letters,94(8):1–4,2005.
[4]C.Farrow,J.Heidel,J.Maloney,and J.Rogers,Scalar equations for synchronous Boolean networks with biological applications,IEEE Transations on Neural Networks,15(12):348–354,2004.
[5]M.Chaves,Methods for qualitative analysis of genetic networks,in Proceedings of the 2009 European Control Conference,2009:671–676.
[6]K.Kobayashi,K.Hiraishi,Optimal control of asynchronous Boolean networks modeled by Petri nets,in Proceedings of the2nd International Workshop on Biological Process and Petri Nets,2011:7–20.
[7]K.Kobayashi,K.Hiraishi,Optimal control of Boolean biological networks modeled by Petri nets,IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,96(2):532–539,2013.
[8]D.Cheng,H.Qi,A linear representation of dynamics of Boolean networks,IEEE Transactions on Automatic Control,55(10):2251–2258,2010.
[9]D.Cheng,Z.Li,and H.Qi,Realization fo Boolean control networks,Automatica,46(1):62–29,2010.
[10]D.Cheng,Y.Zhao,Identification of Boolean control networks,Automatica,47(4):702–710,2011.
[11]D.Cheng,H.Qi,Controllability and observability of Boolean control networks,Automatica,45(7):2251–2258,2009.
[12]E.Fornasini,M.Valcher,Optimal control of Boolean control networks,Automatica,59(5):1258–1270,2014.
[13]D.Cheng,J.Liu,Stabilization of Boolean control networks,in Proceedings of joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference,2009:5269–5274.
[14]D.Bresch-Pietri,M.Krstic,Adaptive trajectory tracking despite unknown input delay and plant parameters,Automatica,45(9):2074–2081,2009.
[15]Y.Zhang,Q.Wang,C.Dong,and Y.Jiang,H∞output tracking control for flight control systems with time-varying delay,Chinese Journal of Aeronautics,26(5):1251–1258,2013.
[16]Y.Lin,T.Ma,W.Cao,and J.Zhang,Output tracking of networked control systems with delay compensations,in Proceedings of the 33rd Chinese Control Conference,2014:5678–5683.
[17]B.Wang,J.Feng,On reachability and controllability of periodically time-variant Boolean control networks,in Proceedings of the 35th Chinese Control Conference,2016:7309–7314.
[18]E.Fornasini,M.Valcher,Feedback stabilization,regulation and optimal control of Boolean control networks,in Proceedings of the 2014 American Control Conference,2014:1981–1986.
[19]H.Li,Y.Wang,and L,Xie,Output tracking control of Boolean control networks via state feedback:Constant reference signal case,Automatica,59:54–59,2015.
[20]H.Li,Y.Wang,Output tracking of switched Boolean networks under open-loop/closed-loop switching signals,Nonlinear Analysis:Hybrid Systems,22:137–146,2016.
[21]D.Cheng,H.Qi,and Z.Li,Analysis and Control of Boolean Networks:A Semi-Tensor Product Approach,Springer,2011.
[22]Y.Zou,J.Zhu,On cycles of periodically time-variant Boolean networks,in Proceedings of the 32nd Chinese Control Conference,2013:8256–8261.
[23]Y.Zou,J.Zhu,Cycles of periodically time-variant Boolean networks,Automatica,51:175–179,2015.
[24]D.Cheng,H.Qi,and Z.Li,Model construction of Boolean network via observed data,IEEE Transactions on Neural Networks,22(4):525–536,2011.