Simultaneous stabilization of Boolean control networks via semi-tensor product method

Proceedings of the 30th Chinese Control Conference, CCC 2011

Volumn , Issue , 2011, Pages 6386-6391

  Li, Haitao ^a   Wang, Yuzhen ^a   Liu, Zhenbin ^a,b  

^a SHANDONG UNIVERSITY   (China)

^b QINGDAO AGRICULTURAL UNIVERSITY   (China)

Author keywords

Boolean control networks; Feedback control; Semi tensor product of matrices; Simultaneous stabilization

Indexed keywords

BILINEAR SYSTEM; CONTROL NETWORK; DISCRETE-TIME; LOGICAL FUNCTIONS; MATRIX EXPRESSION; OUTPUT FEEDBACK; OUTPUT VARIABLES; SEMI-TENSOR PRODUCT; SIMULTANEOUS STABILIZATION; SUFFICIENT CONDITIONS;

FEEDBACK CONTROL; MATHEMATICAL TECHNIQUES; STABILIZATION; TENSORS;

STATE FEEDBACK;

EID: 80053086581     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. D. Z. Cheng., H. Qi, Semi-Tensor Product of matrices: Theory and Applications. Beijing: Science Press, 2007.
2. D. Z. Cheng., H. Qi, Controllability and observability of Boolean control networks, Automatica, 45(7): 1659-1667, 2009.
3. D. Z. Cheng, Input-state approach to Boolean networks, IEEE Tans. Neural Networks, 20(3): 512-521, 2009.
4. D. Z. Cheng., Z. Li., H. Qi, Realization of Boolean control networks, Automatica, 46(1): 62-69, 2010.
5. D. Z. Cheng, State space analysis of Boolean networks, IEEE Tans. Neural Networks, 24(4): 584-594, 2010.
6. D. Z. Cheng., H. Qi., Z. Li, Analysis and Control of Boolean Networks: A Semi-tensor Product Approach. London: Springer, 2011.
7. D. Z. Cheng., H. Qi, A linear representation of dynamics of Boolean networks, IEEE Trans. Aut. Contr., 55(10): 2251-2258, 2010.
8. D. Z. Cheng, Disturbance decoupling of Boolean control networks, IEEE Tans. Aut. Contr., 56(1): 2-10, 2011.
9. D. Z. Cheng., H. Qi., Z. Li., J. B. Liu, Stability and stabilization of Boolean networks, Int. J. Robust Nonlinear Contr., 21(2): 134-156, 2011.
10. B. K. Ghosh, Transcendental and interpolation methods in simultaneous stabilization and simultaneous partial pole placement problems, SIAM J. Control Optim., 24: 1091-1109, 1986.
11. B. Ho-Mock-Qai., W. P. Dayawansa, Simultaneous stabilization of linear and nonlinear systems by means of nonlinear state feedback, SIAM J. Control Optim., 37: 1701-1725, 1999.
12. S. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets, J. Theoretical Biology, 22(3): 437, 1969.
13. R. Saeks., J. Murray, Fractional representation algebraic geometry and the simultaneous stabilization problem, IEEE Tans. Aut. Contr., AC-27: 895-903, 1982.
14. L. Sun., Y.Wang, Simultaneous stabilization of a class of nonlinear descriptor systems via Hamiltonian function method, Science in China Series F: Information Science, 52(11): 2140-2152, 2009.
15. L. Sun., Y.Wang, Adaptive parallel simultaneous stabilization of two nonlinear descriptor systems via Hamiltonian function method, in Pro. of the 29th Chinese Control Conference, 2010: 694-699.
16. M. Vidyasagar., N. Viswanadham, Algebraic design techniques for reliable stabilization, IEEE Tans. Aut. Contr., AC-27: 1085-1095, 1982.
17. Y. Wang., G. Feng., D. Cheng, Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems, Automatica, 43(3): 403-415, 2007.
18. A. Wei., Y. Wang, Parallel simultaneous stabilization of two nonlinear port-controlled Hamiltonian systems subject to actuator saturation, in Pro. of the 27th Chinese Control Conference, 2008: 388-392.
19. J. L.Wu, Simultaneous stabilization for a collection of single-input nonlinear systems, IEEE Tans. Aut. Contr., 50(3): 328-337, 2005.