Controllability and Observability of Singular Boolean Control Networks

被引：0
作者：
Min Meng
Beiyou Li
Jun-e Feng
机构：
[1] Shandong University,The School of Mathematics
[2] Qilu University of Technology,The School of Finance
来源：
Circuits, Systems, and Signal Processing | 2015年 / 34卷
关键词：
Controllability; Observability; Input-state incidence matrix; Singular Boolean control networks;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Controllability and observability of singular Boolean control networks are proposed in this paper from its algebraic form via semi-tensor product. First, the input-state incidence matrix of singular Boolean control networks is presented based on which the generalized input-state incidence matrix is also defined. Second, a necessary and sufficient condition for the controllability of singular Boolean control networks is given, as well as an algorithm to design controls which drive a state to a reachable state. At last, similar to Boolean control networks, a sufficient condition of observability of singular Boolean control networks is obtained.
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页码：1233 / 1248
页数：15
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共 48 条
  • [1] Cheng D(2011)Disturbance decoupling of Boolean control networks IEEE Trans. Autom. Control 56 2-10
  • [2] Cheng D(2009)Controllability and observability of Boolean control networks Automatica 45 1659-1667
  • [3] Qi H(2010)A linear representation of dynamics of Boolean networks IEEE Trans. Autom. Contr. 55 2251-2258
  • [4] Cheng D(2011)Identification of Boolean control networks Automatica 47 702-710
  • [5] Qi H(2010)Realization of Boolean control networks Automatica 46 62-69
  • [6] Cheng D(2011)Stability and stabilization of Boolean networks Int. J. Robust Nonlinear Control 21 134-156
  • [7] Zhao Y(2004)Scalar equations for synchronous Boolean networks with biological applications IEEE Trans. Neural Netw. 15 348-354
  • [8] Cheng D(2012)Singular Boolean networks: semi-tensor product approach Sci. China Inf. Sci. 56 112203:1-112203:14
  • [9] Qi H(2013)Multiple fuzzy relation and its application to coupled fuzzy control Asian J. Control 15 1313-1424
  • [10] Li Z(2003)Finding cycles in synchronous Boolean networks with applications to biochemical systems Int. J. Bifurcat. Chaos 13 535-552
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