Consistent stabilizability of switched Boolean networks

Neural Networks

Volumn 46, Issue , 2013, Pages 183-189

  Li, Haitao ^a   Wang, Yuzhen ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Consistent stabilizability; Semi tensor product; State constraint; Switched Boolean network

Indexed keywords

ALGEBRAIC EXPRESSION; BOOLEAN NETWORKS; NEW RESULTS; SEMI-TENSOR PRODUCT; STABILIZABILITY; STATE CONSTRAINTS; SUFFICIENT CONDITIONS; SWITCHING SIGNALS;

BOOLEAN ALGEBRA; MATHEMATICAL TECHNIQUES; TENSORS;

FEEDBACK;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CONTROLLED STUDY; LYAPUNOV METHOD; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; MATHEMATICS; PRIORITY JOURNAL; SWITCHED BOOLEAN NETWORK;

CONSISTENT STABILIZABILITY; SEMI-TENSOR PRODUCT; STATE CONSTRAINT; SWITCHED BOOLEAN NETWORK;

ALGORITHMS; FEEDBACK; MODELS, BIOLOGICAL; NEURAL NETWORKS (COMPUTER); STATISTICS AS TOPIC;

EID: 84879580657     PISSN: 08936080     EISSN: 18792782     Source Type: Journal    
DOI: 10.1016/j.neunet.2013.05.012     Document Type: Article

References (32)

1. Akutsu T., Hayashida M., Ching W., Ng M. Control of Boolean networks: hardness results and algorithms for tree structured networks. Journal of Theoretical Biology 2007, 244(4):670-679.
2. Chen H., Sun J. A new approach for global controllability of higher order Boolean control network. Neural Networks 2013, 39(1):12-17.
3. Cheng D. Disturbance decoupling of Boolean control networks. IEEE Transactions on Automatic Control 2011, 56(1):2-10.
4. Cheng D., Li Z., Qi H. Realization of Boolean control networks. Automatica 2010, 46(1):62-69.
5. Cheng D., Qi H. Controllability and observability of Boolean control networks. Automatica 2009, 45(7):1659-1667.
6. Cheng D., Qi H., Li Z. Analysis and control of Boolean networks: a semi-tensor product approach 2011, Springer, London.
7. Cheng D., Zhao Y. Identification of Boolean control networks. Automatica 2011, 47(4):702-710.
8. Drossel B., Mihaljev T., Greil F. Number and length of attractors in a critical Kauffman model with connectivity one. Physical Review Letters 2005, 94(8):088701-1-088701-4.
9. El-Farra, N. H., Gani, A., & Christofides, P. D. (2005). A switched systems approach for the analysis and control of mode transitions in biological networks. In 2005 American control conference (pp. 3247-3252). Portland.
10. Karlebach G., Shamir R. Modelling and analysis of gene regulatory networks. Nature Reviews Molecular Cell Biology 2008, 9:770-780.
11. Kauffman S. Metabolic stability and epigenesis in randomly constructed genetic nets. Journal of Theoretical Biology 1969, 22(3):437.
12. Kobayashi, K., & Hiraishi, K. (2011). Optimal control of asynchronous Boolean networks modeled by petri nets. In Proceedings of the 2nd international workshop on biological process & petri nets (pp. 7-20).
13. Laschov D., Margaliot M. Controllability of Boolean control networks via the Perron-Frobenius theory. Automatica 2012, 48(6):1218-1223.
14. Lewin B. Genes VII 2000, Oxford Univ. Press, Cambridge, UK.
15. Li, H. (2012). Global stability and controllability of switched Boolean networks. In Proceedings of the 31th Chinese control conference (pp. 82-88). Hefei.
16. Li R., Chu T. Complete synchronization of Boolean networks. IEEE Transactions on Neural Networks and Learning Systems 2012, 23(5):840-846.
17. Li F., Sun J. Controllability of probabilistic Boolean control networks. Automatica 2011, 47(12):2765-2771.
18. Li F., Sun J. Controllability and optimal control of a temporal Boolean network. Neural Networks 2012, 34:10-17.
19. Li F., Sun J. Controllability of higher order Boolean control networks. Applied Mathematics and Computation 2012, 219:158-169.
20. Li H., Wang Y. Boolean derivative calculation with application to fault detection of combinational circuits via the semi-tensor product method. Automatica 2012, 48(4):688-693.
21. Li H., Wang Y. On reachability and controllability of switched Boolean control networks. Automatica 2012, 48(11):2917-2922.
22. Li, H., Wang, Y., & Liu, Z. (2012). Stability analysis for switched Boolean networks under arbitrary switching signals. Preprint.
23. Liberzon D., Morse A.S. Basic problems in stability and design of switched systems. IEEE Control System Magazine 1999, 19:59-70.
24. Marínez-Rodríguez A.M., May J.H., Vargas L. An optimization-based approach for the design of Bayesian networks. Mathematical and Computer Modelling 2008, 48(7-8):1265-1278.
25. Sun Z. Stabilizability and insensitivity of switched linear systems. IEEE Transactions on Automatic Control 2004, 49(7):1133-1137.
26. Sun Z. Combined stabilizing strategies for switched linear systems. IEEE Transactions on Automatic Control 2006, 51(4):666-674.
27. Sun Z., Ge S. Switched linear systems: control and design 2005, Springer.
28. Trofino A., Assmann D., Scharlan C.C., Coutinho D.F. Switching rule design for switched dynamic systems with affine vector fields. IEEE Transactions on Automatic Control 2009, 54(9):2215-2222.
29. Wang Z., Lam J., Wei G., Fraser K., Liu X. Filtering for nonlinear genetic regulatory networks with stochastic disturbances. IEEE Transactions on Automatic Control 2008, 53(10):2448-2457.
30. Xiao Y., Dougherty E.R. The impact of function perturbations in Boolean networks. Bioinformatics 2007, 23(10):1265-1273.
31. Zhao Y., Cheng D., Qi H. Input-state incidence matrix of Boolean control networks and its applications. Systems & Control Letters 2010, 59(12):767-774.
32. Zhao Y., Li Z., Cheng D. Optimal control of logical control networks. IEEE Transactions on Automatic Control 2011, 56(8):1766-1776.