应用数学2023，Vol.36Issue(3)：780-787,8.
具有时滞的不完全布尔控制网络的最优控制
Optimal Control of the Incomplete Boolean Control Networks with Delay
摘要
Abstract
In this paper,controllability and Mayer-style optimal control of a class of the incomplete Boolean control networks with delay is studied.The system is converted into a classical Boolean control networks via semi-tensor product.We propose the top-up conditions for controllability and the necessary conditions for optimal control of the Mayer-style.The main contribution is that the system is transformed into Boolean control network algebraic by using matrix semi tensor product method,which overcomes the restriction of the dimension of matrix product.关键词
布尔控制网络/延迟/可控性/Mayer型最优控制/半张量Key words
Boolean control networks/Delay/Controllability/Mayer-style optimal control/Semi-tensor分类
数理科学引用本文复制引用
宋雪薇,廉春波,葛斌..具有时滞的不完全布尔控制网络的最优控制[J].应用数学,2023,36(3):780-787,8.基金项目
Supported by the National Natural Science Foundation of China(11201095)and the Fundamental Research Funds for the Central Universities(3072022TS2402) （11201095）
