Observability of Boolean Control Networks with State Time Delays

被引:91
作者
Li, Fangfei [1 ]
Sun, Jitao [1 ]
Wu, Qi-Di [2 ]
机构
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2011年 / 22卷 / 06期
基金
中国国家自然科学基金;
关键词
Boolean control networks; observability; systems biology; time delay; BIOLOGICAL APPLICATIONS; SCALAR EQUATIONS; CONTROLLABILITY; STABILITY; SYSTEMS;
D O I
10.1109/TNN.2011.2126594
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This brief deals with the problem of the observability for the Boolean control networks with time delays in states. First, using semi-tensor product of matrices and the matrix expression of logic, the Boolean control networks with state delays can be converted into discrete time delay dynamics. Then, the observability of the Boolean control networks via two kinds of inputs is investigated by giving necessary and sufficient conditions. Finally, examples are given to illustrate the efficiency of the obtained results.
引用
收藏
页码:948 / 954
页数:7
相关论文
共 18 条
[1]   On analytic and algebraic observability of nonlinear delay systems [J].
Anguelova, Milena ;
Wennberg, Bernt .
AUTOMATICA, 2010, 46 (04) :682-686
[2]   Stability and stabilization of Boolean networks [J].
Cheng, Daizhan ;
Qi, Hongsheng ;
Li, Zhiqiang ;
Liu, Jiang B. .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (02) :134-156
[3]   A Linear Representation of Dynamics of Boolean Networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2251-2258
[4]   State-Space Analysis of Boolean Networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (04) :584-594
[5]   Realization of Boolean control networks [J].
Cheng, Daizhan ;
Li, Zhiqiang ;
Qi, Hongsheng .
AUTOMATICA, 2010, 46 (01) :62-69
[6]   Controllability and observability of Boolean control networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
AUTOMATICA, 2009, 45 (07) :1659-1667
[7]   Input-State Approach to Boolean Networks [J].
Cheng, Daizhan .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03) :512-521
[8]   Number and length of attractors in a critical kauffman model with connectivity one [J].
Drossel, B ;
Mihaljev, T ;
Greil, F .
PHYSICAL REVIEW LETTERS, 2005, 94 (08) :1-4
[9]   Scalar equations for synchronous Boolean networks with biological applications [J].
Farrow, C ;
Heidel, J ;
Maloney, J ;
Rogers, J .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (02) :348-354
[10]  
GOODWIN B.C., 1963, TEMPORAL ORG CELLS