Output feedback stabilization control design for Boolean control networks

This paper investigates the output feedback stabilization of Boolean control networks (BCNs) by using the semi-tensor product method and presents a number of new results. First, based on the algebraic expression of BCNs, a necessary and sufficient condition is presented for the existence of output feedback stabilizers. Second, a constructive procedure is proposed to design output feedback stabilization controllers for BCNs. The study of an illustrative example shows that the new results obtained in this paper are very effective in designing output feedback stabilizers for BCNs.

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

[2]  Jongrae Kim,et al.  Aggregation Algorithm Towards Large-Scale Boolean Network Analysis , 2013, IEEE Transactions on Automatic Control.

[3]  Ettore Fornasini,et al.  Observability, Reconstructibility and State Observers of Boolean Control Networks , 2013, IEEE Transactions on Automatic Control.

[4]  Yuzhen Wang,et al.  On reachability and controllability of switched Boolean control networks , 2012, Autom..

[5]  B. Drossel,et al.  Number and length of attractors in a critical Kauffman model with connectivity one. , 2004, Physical review letters.

[6]  Peng Cui,et al.  Singular Boolean networks: Semi-tensor product approach , 2012, Science China Information Sciences.

[7]  Daizhan Cheng,et al.  Optimal Control of Logical Control Networks , 2011, IEEE Transactions on Automatic Control.

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

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

[10]  Jun-e Feng,et al.  Mix-valued logic-based formation control , 2013, Int. J. Control.

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

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

[13]  Daizhan Cheng,et al.  Bi-decomposition of multi-valued logical functions and its applications , 2013, Autom..

[14]  Ettore Fornasini,et al.  On the periodic trajectories of Boolean control networks , 2013, Autom..

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

[16]  Tianguang Chu,et al.  Evaluation of attractors and basins of asynchronous random Boolean networks. , 2012 .

[17]  Yuzhen Wang,et al.  Consistent stabilizability of switched Boolean networks , 2013, Neural Networks.

[18]  D. Cheng,et al.  Analysis and control of Boolean networks: A semi-tensor product approach , 2010, 2009 7th Asian Control Conference.

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

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

[21]  M. Margaliot.  Controllability and observability of Boolean control networks , 2012 .

[22]  Tamer Kahveci,et al.  Scalable Steady State Analysis of Boolean Biological Regulatory Networks , 2009, PloS one.

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

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

[25]  Fangfei Li,et al.  Stability and stabilization of Boolean networks with impulsive effects , 2012, Syst. Control. Lett..

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

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

[28]  Fangfei Li,et al.  Controllability of probabilistic Boolean control networks , 2011, Autom..

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

[30]  Tianguang Chu,et al.  Complete Synchronization of Boolean Networks , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Edward R. Dougherty,et al.  The impact of function perturbations in Boolean networks , 2007, Bioinform..

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