Input-state incidence matrix of Boolean control networks and its applications

Systems and Control Letters

Volumn 59, Issue 12, 2010, Pages 767-774

  Zhao, Yin ^a   Qi, Hongsheng ^a   Cheng, Daizhan ^a  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Boolean control network; Input state incidence matrix; Mix valued logic; Observability; Reachability

Indexed keywords

TOPOLOGY;

BOOLEAN CONTROL NETWORKS; BOOLEAN NETWORKS; COMPLETE INFORMATION; INPUT-STATE INCIDENCE MATRIXES; ITS APPLICATIONS; LOGICAL CONTROL; REACHABILITY; TOPOLOGICAL PROPERTIES;

OBSERVABILITY;

EID: 79953230566     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.09.002     Document Type: Article

References (16)

1. S. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets., J. Theoret. Biol. 22 (3) (1969) 437.
2. S. Kauffman, The Origins of Order: Self-Organization and Selection in Evolution, Oxford University Press, New York, 1993.
3. S. Kauffman, At Home in the Universe, Oxford Univ. Press, 1995.
4. R. Albert, H. Othmer, The topology and signature of the regulatory interactions predict the expression pattern of the segment polarity genes in drosophila melanogaster, J. Theoret. Biol. 223 (1) (2003) 1-18.
5. M. Aldana, Boolean dynamics of networks with scale-free topology, Physica D 185 (1) (2003) 45-66.
6. B. Drossel, T. Mihaljev, F. Greil, Number and length of attractors in a critical Kauffman model with connectivity one, Phys. Rev. Lett. 94 (8) (2005) 88701.
7. A. Datta, A. Choudhary, M. Bittner, E. Dougherty, External control in Markovian genetic regulatory networks: The imperfect information case, Bioinformatics 20 (2004) 924-930.
8. R. Pal, A. Datta, M. L. Bittner, E. R. Dougherty, Optimal infinite horizon control for probabilistic Boolean networks, IEEE Trans. Signal Process. 54 (2006) 2375-2387.
9. T. Akutsu, M. Hayashida, W. Ching, M. Ng, Control of Boolean networks: Hardness results and algorithms for tree structured networks, J. Theoret. Biol. 244 (4) (2007) 670-679.
10. D. Cheng, Sime-Tensor Product of Matrices and its Applications-a Survey, in: Proc. 4th International Congress of Chinese Mathematicians, Higher Edu. Press, Int. Press, Hangzhou, 2007, pp. 641-668.
11. D. Cheng, H. Qi, Z. Li, J. B. Liu, Stability and stabilization of boolean networks, Int. J. Robust Nonlinear Contr., in press (doi:10.1002/rnc.1581).
12. D. Cheng, Input-state approach to boolean networks, IEEE Trans. Neural Netw. 20 (3) (2009) 512-521.
13. D. Cheng, Z. Li, Solving logic equation via matrix expression, Front. Electr. Electron. Eng. China 4 (3) (2009) 259-269.
14. D. Cheng, Z. Li, H. Qi, Realization of boolean control networks, Automatica 46 (1) (2010) 62-69.
15. Y. Mu, L. Guo, Optimization and identification in a non-equilibrium dynamic game, in: Proc. CDC-CCC'09, 2009, pp. 5750-5755.
16. Z. Li, D. Cheng, Algebraic approach to dynamics of multi-valued networks, Int. J. Bifurcation and Chaos 20 (3) (2010) 561-582.