Stabilization, Controllability and Optimal Control of Boolean Networks With Impulsive Effects and State Constraints

被引：113

作者：

Chen, Hao ^{[1
]}

Li, Xingde ^{[2
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Johns Hopkins Univ, Dept Biomed Engn, Baltimore, MD 21205 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 03期

关键词：

Boolean networks; controllability; impulse; optimal control; semi-tensor product; state constraints; OBSERVABILITY; STABILITY; DYNAMICS; SYSTEMS;

D O I：

10.1109/TAC.2014.2330432

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

The present note investigates the stabilization, controllability and optimal control problem of Boolean networks with impulsive effects and state constraints. By using the semi-tensor product method, the algebraic form of the Boolean networks with impulsive effects and state constraints is derived. The stabilization and controllability issues of the systems are investigated and some necessary and sufficient conditions are obtained. In addition, the Mayer-type optimal control problem is also studied and algorithms are provided to design the control sequence. Furthermore, examples are given to illustrate the main results.

引用

页码：806 / 811

页数：6

共 28 条

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