Controllability of time-variant Boolean control networks and its application to Boolean control networks with finite memories

This paper investigates the controllability of time-variant Boolean control networks (BCNs). For the time-variant BCNs, a necessary and sufficient condition for the controllability is given, and a control design algorithm is presented. For a BCN with finite memories, an equivalent transformation to a time-variant BCN is constructed. Then a necessary and sufficient condition for the controllability and a control design algorithm are obtained.

[1]  Fangfei Li,et al.  Controllability of Boolean control networks with time delays in states , 2011, Autom..

[2]  Daizhan Cheng,et al.  Semi-tensor product of matrices and its application to Morgen’s problem , 2007, Science in China Series : Information Sciences.

[3]  S. Kauffman Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[4]  Daizhan Cheng,et al.  Input-state incidence matrix of Boolean control networks and its applications , 2010, Syst. Control. Lett..

[5]  Daizhan Cheng,et al.  Input-State Approach to Boolean Networks , 2009, IEEE Transactions on Neural Networks.

[6]  Daizhan Cheng,et al.  Disturbance Decoupling of Boolean Control Networks , 2011, IEEE Transactions on Automatic Control.

[7]  Satoru Miyano,et al.  Inferring qualitative relations in genetic networks and metabolic pathways , 2000, Bioinform..

[8]  D. Cheng,et al.  Optimal control of mix-valued logical control networks , 2010, Proceedings of the 29th Chinese Control Conference.

[9]  Daizhan Cheng,et al.  Identification of Boolean control networks , 2011, Autom..

[10]  H. Kitano Systems Biology: A Brief Overview , 2002, Science.

[11]  Daizhan Cheng,et al.  Controllability and observability of Boolean control networks , 2009, Autom..

[12]  Cheng Daizhan Semi-tensor product of matrices and its application to Morgen’s problem , 2001 .

[13]  D. Cheng,et al.  Stability and stabilization of Boolean networks , 2011 .

[14]  Daizhan Cheng,et al.  A Linear Representation of Dynamics of Boolean Networks , 2010, IEEE Transactions on Automatic Control.

[15]  Albert,et al.  Dynamics of complex systems: scaling laws for the period of boolean networks , 2000, Physical review letters.

[16]  M. Ng,et al.  Control of Boolean networks: hardness results and algorithms for tree structured networks. , 2007, Journal of theoretical biology.

[17]  D. Cheng,et al.  Semi-tensor Product of Matrices , 2011 .

[18]  T. Ideker,et al.  A new approach to decoding life: systems biology. , 2001, Annual review of genomics and human genetics.

[19]  Daizhan Cheng,et al.  Realization of Boolean control networks , 2010, Autom..