A minimum-time control for Boolean control networks with impulsive disturbances

被引：33
|
作者：
Chen, Hongwei [1 ,2 ]
Wu, Bo [1 ,3 ]
Lu, Jianquan [2 ]
机构：
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Zhejiang Normal Univ, Grad Sch, Jinhua 321004, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
关键词：
Optimal control; Boolean control network; Impulsive disturbance; Semi-tensor product; CONTROLLABILITY; SYNCHRONIZATION; STABILITY; STABILIZATION; GROWTH;
D O I：
10.1016/j.amc.2015.09.075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates a Mayer-type optimal control and minimum time control of a Boolean control network (BCN) with impulsive disturbances. Using the semi tensor product, the BCN with impulsive disturbances is converted into algebraic discrete time impulsive dynamic systems, and several necessary conditions for optimality are derived. Then we consider the problem of steering a BCN with impulsive disturbances from a given initial state to a desired state in minimal time. And a necessary condition, stated in the form of maximum principle, is obtained for a control to be time optimal, It shows that the impulsive disturbances play an important role in the optimal control problem for BCNs. At last, a biological example is given to illustrate the effectiveness and advantage of the obtained results. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：477 / 483
页数：7
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