State Feedback Stabilization for Boolean Control Networks

被引：278
作者：
Li, Rui [1 ]
Yang, Meng [1 ]
Chu, Tianguang [1 ]
机构：
[1] Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Algebraic representation; Boolean control networks; semi-tensor product; state feedback stabilization; systems biology; EXTERNAL CONTROL; CONTROLLABILITY; ROBUSTNESS; STABILITY; MODELS;
D O I：
10.1109/TAC.2013.2238092
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
State feedback stabilization for Boolean control networks is investigated in this technical note. Based on the algebraic representation of logical dynamics in terms of the semi-tensor product of matrices, a necessary and sufficient condition is derived for the existence of a globally stabilizing state feedback controller, and a general control design approach is proposed when global stabilization is feasible via state feedback. Instead of designing the logical form of a stabilizing feedback law directly, we first construct its algebraic representation and then convert the algebraic representation back to the logical form. An example is worked out to illustrate the proposed design procedure.
引用
收藏
页码：1853 / 1857
页数：6
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