Reachability and controllability of time-variant k-valued logical control network and finite memories k-valued logical control network
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- 英文论文题名：Reachability and controllability of time-variant k-valued logical control network and finite memories k-valued logical control network
- 论文作者：ZHAO Jiantao ; CHEN Zengqiang ; LIU Zhongxin
- 英文论文作者：ZHAO Jiantao ; CHEN Zengqiang ; LIU Zhongxin ; College of Computer and Control Engineering ; Nankai University ; Tianjin Key Laboratory of Intelligent Robotics ; Nankai University
- 年：2017
- 作者机构：College of Computer and Control Engineering,Nankai University;Tianjin Key Laboratory of Intelligent Robotics,Nankai University;
- 英文论文关键词：Reachability ; controllability ; time-variant k-valued logical control network ; finite memories k-valued logical control network ; semi-tensor product of matrices(STP)
- 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：8
- 文件大小：283k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the reachability and controllability of time-variant k-valued logical control network and finite memories k-valued logical control network. For time-variant k-valued logical control network, the semi-tensor product(STP) is used to represent it. The necessary and sufficient condition for its controllability and the control method are given. For the finite memories k-valued logical control network, we transformed it into time-variant k-valued logical control network and also give the necessary and sufficient condition for its controllability and the control method. Examples are also given to illustrate the efficiency of the method.
This paper investigates the reachability and controllability of time-variant k-valued logical control network and finite memories k-valued logical control network. For time-variant k-valued logical control network, the semi-tensor product(STP) is used to represent it. The necessary and sufficient condition for its controllability and the control method are given. For the finite memories k-valued logical control network, we transformed it into time-variant k-valued logical control network and also give the necessary and sufficient condition for its controllability and the control method. Examples are also given to illustrate the efficiency of the method.
This paper investigates the reachability and controllability of time-variant k-valued logical control network and finite memories k-valued logical control network. For time-variant k-valued logical control network, the semi-tensor product(STP) is used to represent it. The necessary and sufficient condition for its controllability and the control method are given. For the finite memories k-valued logical control network, we transformed it into time-variant k-valued logical control network and also give the necessary and sufficient condition for its controllability and the control method. Examples are also given to illustrate the efficiency of the method.
引文
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[7]Cheng D,Qi H.Controllability and observability of Boolean control networks[J].Control Theory&Applications,2011,45(7):1659-1667.
[8]Cheng D,Li Z,Qi H.Realization of Boolean control networks[J].Automatica,2010,46(1):62-69.
[9]Cheng D,Qi H,Li Z,et al.Stability and stabilization of Boolean networks[J].International Journal of Robust&Nonlinear Control,2011,21(2):134-156.
[10]Cheng D.Disturbance Decoupling of Boolean Control Networks[J].IEEE Transactions on Automatic Control,2011,56(1):2-10.
[11]Cheng D,Qi H,Li Z.Identification of Boolean Control Networks[J].Automatica,2011,47(4):702-710.
[12]Li F,Sun J.Controllability of Boolean control networks with time delays in states[J].Automatica,2011,47(3):603-607.
[13]Zhang L,Zhang K.Controllability and Observability of Boolean Control Networks With Time-Variant Delays in States[J].IEEE Transactions on Neural Networks&Learning Systems,2016,24(9):1478-1484.
[14]Han M,Liu Y,Tu Y.Controllability of Boolean control networks with time delays both in states and inputs[J].Neurocomputing,2014,129:467-475.
[15]Zhang L J,Zhang K Z.Controllability of time-variant Boolean control networks and its application to Boolean control networks with finite memories[J].Science China Information Sciences,2013,56(10):1-12.
[16]Li Z Q,Cheng D.algebraic approach to cynamics of multivalued networks[J].nternational Journal of Bifurcation&Chaos,2012,20(3):561-582.
[2]Adamatzky A.On dynamically non-trivial three-valued logics:oscillatory and bifurcatory species[J].Chaos Solitons&Fractals,2003,18(5):917-936.
[3]Liu Z,Wang Y,Li H.New approach to derivative calculation of multi-valued logical functions with application to fault detection of digital circuits[J].IET Control Theory&Applications,2014,8(8):554-560.
[4]Cheng D,He F,Qi H,et al.Modeling,Analysis and Control of Networked Evolutionary Games[J].IEEE Transactions on Automatic Control,2015,60(9):2402-2415.
[5]Cheng D,Qi H,Zhao Y.An Introduction to Semi-Tensor Product of Matrices and Its Applications[M].WORLD SCIENTIFIC,2012.
[6]Cheng D,Qi H.A Linear Representation of Dynamics of Boolean Networks[J].Automatic Control IEEE Transactions on,2010,55(10):2251-2258.
[7]Cheng D,Qi H.Controllability and observability of Boolean control networks[J].Control Theory&Applications,2011,45(7):1659-1667.
[8]Cheng D,Li Z,Qi H.Realization of Boolean control networks[J].Automatica,2010,46(1):62-69.
[9]Cheng D,Qi H,Li Z,et al.Stability and stabilization of Boolean networks[J].International Journal of Robust&Nonlinear Control,2011,21(2):134-156.
[10]Cheng D.Disturbance Decoupling of Boolean Control Networks[J].IEEE Transactions on Automatic Control,2011,56(1):2-10.
[11]Cheng D,Qi H,Li Z.Identification of Boolean Control Networks[J].Automatica,2011,47(4):702-710.
[12]Li F,Sun J.Controllability of Boolean control networks with time delays in states[J].Automatica,2011,47(3):603-607.
[13]Zhang L,Zhang K.Controllability and Observability of Boolean Control Networks With Time-Variant Delays in States[J].IEEE Transactions on Neural Networks&Learning Systems,2016,24(9):1478-1484.
[14]Han M,Liu Y,Tu Y.Controllability of Boolean control networks with time delays both in states and inputs[J].Neurocomputing,2014,129:467-475.
[15]Zhang L J,Zhang K Z.Controllability of time-variant Boolean control networks and its application to Boolean control networks with finite memories[J].Science China Information Sciences,2013,56(10):1-12.
[16]Li Z Q,Cheng D.algebraic approach to cynamics of multivalued networks[J].nternational Journal of Bifurcation&Chaos,2012,20(3):561-582.