Pinning Control for the Disturbance Decoupling Problem of Boolean Networks

This paper investigates the pinning control for the disturbance decoupling problem (DDP) of Boolean networks (BNs) with disturbances. First, the solvability of DDP in BCNs is defined. Then, rank-conditions-based pinning control is proposed. Moreover, rank-conditions-based pinning state feedback controllers are designed for the DDP of BNs and the range of controllers’ number is obtained. In addition, rank-conditions-based pinning output feedback controllers for the DDP of BNs are also discussed. An example is given to show the effectiveness of the obtained results.

[1]  Michael Margaliot,et al.  Controllability of Boolean control networks via the Perron-Frobenius theory , 2012, Autom..

[2]  Eckehard Schöll,et al.  Control of synchronization patterns in neural-like Boolean networks. , 2012, Physical review letters.

[3]  Ettore Fornasini,et al.  Output feedback stabilization of Boolean control networks , 2015, Autom..

[4]  Michael Margaliot,et al.  Minimum-Time Control of Boolean Networks , 2013, SIAM J. Control. Optim..

[5]  Jinde Cao,et al.  On Controllability of Delayed Boolean Control Networks , 2016, SIAM J. Control. Optim..

[6]  Daizhan Cheng,et al.  Analysis and Control of Boolean Networks , 2011 .

[7]  Michael Margaliot,et al.  Observability of Boolean networks: A graph-theoretic approach , 2013, Autom..

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

[9]  Fangfei Li,et al.  Pinning Control Design for the Stabilization of Boolean Networks , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[10]  Lennart Ljung,et al.  Theory and Practice of Recursive Identification , 1983 .

[11]  S. Huang,et al.  Shape-dependent control of cell growth, differentiation, and apoptosis: switching between attractors in cell regulatory networks. , 2000, Experimental cell research.

[12]  M. Aldana.  Boolean dynamics of networks with scale-free topology , 2003 .

[13]  Yang Liu,et al.  Feedback Controller Design for the Synchronization of Boolean Control Networks , 2016, IEEE Transactions on Neural Networks and Learning Systems.

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

[15]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Ettore Fornasini,et al.  Fault Detection Analysis of Boolean Control Networks , 2015, IEEE Transactions on Automatic Control.

[17]  Naohisa Otsuka.  Disturbance decoupling with quadratic stability for switched linear systems , 2010, Syst. Control. Lett..

[18]  Tianguang Chu,et al.  State Feedback Stabilization for Boolean Control Networks , 2013, IEEE Transactions on Automatic Control.

[19]  Guanrong Chen,et al.  Pinning control of scale-free dynamical networks , 2002 .

[20]  Satoru Miyano,et al.  Identification of Genetic Networks from a Small Number of Gene Expression Patterns Under the Boolean Network Model , 1998, Pacific Symposium on Biocomputing.

[21]  V. Vedantham,et al.  Direct Reprogramming of Fibroblasts into Functional Cardiomyocytes by Defined Factors , 2010, Cell.

[22]  Min Meng,et al.  Topological structure and the disturbance decoupling problem of singular Boolean networks , 2014 .

[23]  Wen-Xu Wang,et al.  Modeling and controlling the two-phase dynamics of the p53 network: a Boolean network approach , 2014 .

[24]  Michael Margaliot,et al.  A Maximum Principle for Single-Input Boolean Control Networks , 2011, IEEE Transactions on Automatic Control.

[25]  Uri Alon,et al.  Input–output robustness in simple bacterial signaling systems , 2007, Proceedings of the National Academy of Sciences.

[26]  Yuzhen Wang,et al.  Stability Analysis for Switched Boolean Networks Under Arbitrary Switching Signals , 2014, IEEE Transactions on Automatic Control.

[27]  Jinde Cao,et al.  On Pinning Controllability of Boolean Control Networks , 2016, IEEE Transactions on Automatic Control.

[28]  P. Kumar,et al.  Theory and practice of recursive identification , 1985, IEEE Transactions on Automatic Control.

[29]  Tianguang Chu,et al.  Controller design for disturbance decoupling of Boolean control networks , 2013, Autom..

[30]  Daizhan Cheng,et al.  Disturbance decoupling control design for switched Boolean control networks , 2014, Syst. Control. Lett..

[31]  Yang Liu,et al.  Controllability of probabilistic Boolean control networks based on transition probability matrices , 2015, Autom..