Observability, reconstructibility and state observers of Boolean control networks

IEEE Transactions on Automatic Control

Volumn 58, Issue 6, 2013, Pages 1390-1401

  Fornasini, Ettore ^a   Valcher, Maria Elena ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Boolean control networks; Boolean networks; observability; reconstructibility; state observers

Indexed keywords

ALGEBRAIC APPROACHES; BOOLEAN CONTROL NETWORKS; BOOLEAN MATRICES; BOOLEAN NETWORKS; RECONSTRUCTIBILITY; STATE OBSERVER;

STATE ESTIMATION;

OBSERVABILITY;

EID: 84876668567     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2231592     Document Type: Article

References (23)

1. T. Akutsu, M. Hayashida, W.-K. Ching, and M. K. Ng, "Control of Boolean networks: Hardness results and algorithms for tree structured networks," J. Theoret. Biol., vol. 244, pp. 670-679, 2007. (Pubitemid 46148979)
2. R. A. Brualdi and H. J. Ryser, Combinatorial Matrix Theory. Cambridge, U.K.: Cambridge Univ.Press, 1991.
3. D. Cheng, "Input-state approach to Boolean networks," IEEE Trans. Neural Networks, vol. 20, no. 3, pp. 512-521, Mar. 2009.
4. D. Cheng, "Disturbance decoupling of Boolean control networks," IEEE Trans. Autom. Control, vol. 56, pp. 2-10, 2011.
5. D. Cheng, Q. Hongsheng, and Y. Zhao, "Synthesis of Boolean networks via semi-tensor product," in Proc. 30th Chinese Control Conf. (CCC'11), Yantai, China, 2011, pp. 6-17.
6. D. Cheng and H. Qi, "Linear representation of dynamics of Boolean networks," IEEE Trans. Autom. Control, vol. 55, no. 10, pp. 2251-2258, Oct. 2010.
7. D. Cheng and H. Qi, "State-space analysis of Boolean networks," IEEE Trans. Neural Networks, vol. 21, no. 4, pp. 584-594, Apr. 2010.
8. D. Cheng, H. Qi, and Z. Li, Analysis and Control of Boolean Networks. London, U.K.: Springer-Verlag, 2011.
9. L. Fangfei, S. Jitao, and W. Qi-Di, "Observability of Boolean control networks with state time delays," IEEE Trans. Neural Networks, vol. 22, no. 6, pp. 948-954, 2011.
10. L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications. New York: Wiley-Interscience, Series on Pure and Applied Mathematics, 2000.
11. E. Fornasini and M. E. Valcher, "Observability and reconstructibility of Boolean control networks," in Proc. 51st Conf. Decision Control (CDC12), Maui, HI, 2012, pp. 2574-2580.
12. D. G. Green, T. G. Leishman, and S. Sadedin, "The emergence of social consensus in Boolean networks," in Proc. IEEE Symp. Artificial Life (ALIFE'07), Honolulu, HI, 2007, pp. 402408-402408.
13. R. E. Kalman, P. L. Falb, and M. A. Arbib, Topics in Mathematical Systems Theory. New York: McGraw Hill, 1969.
14. S. A. Kauffman, "Metabolic stability and epigenesis in randomly constructed genetic nets," J. Theoretical Biol., vol. 22, pp. 437467-437467, 1969.
15. K. H. Kim, Boolean Matrix Theory and Applications. New York: M. Dekker Inc., 1982.
16. D. Laschov and M. Margaliot, "A maximum principle for single-input Boolean control networks," IEEE Trans. Automatic Control, vol. 56, no. 4, pp. 913-917, Apr. 2011.
17. D. Laschov and M. Margaliot, A New Approach to the Controllability of Boolean Control Networks. New York: Publisher Name, 2011, submitted for publication.
18. D. Laschov and M. Margaliot, "Controllability of Boolean control networks via the Perron-Frobenius theory," Automatica, vol. 48, no. 6, pp. 1218-1223, Jun. 2012.
19. H. Li and Y. Wang, "Boolean derivative calculation with application to fault detection of combinational circuits via the semi-tensor product method," Automatica, vol. 48, no. 4, pp. 688-693, 2012.
20. H. Li, Y. Wang, and Z. Liu, "Simultaneous stabilization of Boolean control networks via semi-tensor product method," in Proc. 30th Chinese Control Conf. (CCC'11), Yantai, China, 2011, pp. 6386-6391.
21. Y. Lou and Y. Hong, "Multi-agent decision in Boolean networks with private information and switching interconnection," in Proc. 29th Chinese Control Conf. (CCC'10), Beijing, China, 2010, pp. 4530-4535.
22. D. G. Luenberger, Introduction to Dynamical Systems. New York: Wiley, 1979.
23. I. Shmulevich, E. R. Dougherty, S. Kim, and W. Zhang, "From Boolean to probabilistic Boolean networks as models of genetic regulatory networks," Proc. IEEE, vol. 90, no. 11, pp. 1778-1792, Nov. 2002.